(401) A natural number is stated as a positive number that

has any actual value from zero to infinity.

(401) When using natural numbers, a number placed directly behind brackets, with no sign of operation between, indicates that

the quantity within the brackets must be multiplied by that number.

you must multiply and divide before adding and subtracting.

you can perform the calculation with or without the brackets.

the brackets should be removed before performing the calculation.

(401) Which phrase is true regarding signed numbers?

Both positive and negative numbers have values.

(407) The second step in making a frequency distribution is to

determine the class interval size

determine the range of the data

range the data from largest to smallest

range the data from smallest to largest

(408) When constructing a frequency polygon, what are plotted against the corresponding midpoints?

Frequencies of the various class intervals

(410) What must you do first to determine the median from ungrouped data?

Arrange the data in ascending order

Determine the numerical averages

Determine the total of the values

CDC 2r051 Vol. 3 Statistical Methods

Reviewed by Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Chris7781

Chris7781

Community Contributor

Quizzes Created: 6 | Total Attempts: 1,684

| Attempts: 149

Quiz Flashcard

Questions

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

1/79 Questions

(401) A natural number is stated as a positive number that
- Has any actual value from zero to infinity.
- Has its own unique properties.
- Can be added or subtracted.
- Can be summed.

About This Quiz

This CDC 2R051 Vol. 3 quiz focuses on basic mathematical operations and concepts such as natural numbers, signed numbers, and arithmetic operations. It assesses understanding of multiplication, division, and computation of differences using signed numbers, enhancing arithmetic skills relevant for learners.

CDC 2r051 Vol. 3 Statistical Methods - Quiz

Quiz Preview

2.

(401) What is the value of 5 ÷ 2 × 6?
- 0.3.
- 8.4.
- 15.0.
- 30.0.
Correct Answer

A. 15.0.

Explanation

The value of 5 ÷ 2 × 6 can be calculated by following the order of operations, which is parentheses, multiplication and division (from left to right), and finally addition and subtraction (from left to right). In this case, there are no parentheses or addition/subtraction operations. So, we first divide 5 by 2, which equals 2.5. Then, we multiply 2.5 by 6, which equals 15.0. Therefore, the correct answer is 15.0.

Rate this question:
3.

(401) When using natural numbers, a number placed directly behind brackets, with no sign of operation between, indicates that
- You must multiply and divide before adding and subtracting.
- You can perform the calculation with or without the brackets.
- The brackets should be removed before performing the calculation.
- The quantity within the brackets must be multiplied by that number.
Correct Answer

A. The quantity within the brackets must be multiplied by that number.

Explanation

When using natural numbers, a number placed directly behind brackets, with no sign of operation between, indicates that the quantity within the brackets must be multiplied by that number. This is known as the distributive property in mathematics.

Rate this question:
4.

(401) Which phrase is true regarding signed numbers?
- Only whole numbers are used.
- Negative numbers are not used.
- Dividing by zero is permitted.
- Both positive and negative numbers have values.
Correct Answer

A. Both positive and negative numbers have values.

Explanation

Both positive and negative numbers have values because signed numbers include both positive and negative numbers. Positive numbers represent quantities greater than zero, while negative numbers represent quantities less than zero. This allows for a broader range of values and allows for mathematical operations such as addition, subtraction, multiplication, and division to be performed on signed numbers.

Rate this question:
5.

(401) Compute the difference of the signed numbers –17 – (–10).
- +3.0.
- –3.0.
- –7.0.
- –27.0.
Correct Answer

A. –7.0.

Explanation

To compute the difference of the signed numbers -17 - (-10), we can rewrite the expression as -17 + 10. Adding a positive number is the same as subtracting its absolute value, so -17 + 10 is equal to -7. Therefore, the correct answer is -7.0.

Rate this question:
6.

(401) How do you write: “The square root of 25 is 5.” as a mathematical expression?
Correct Answer

A.

Explanation

The mathematical expression for the statement "The square root of 25 is 5" is √25 = 5.

Rate this question:
7.

(402) What is 22 percent of 12?
- 1.83.
- 2.64.
- 18.30.
- 26.40.
Correct Answer

A. 2.64.

Explanation

To find 22 percent of 12, we can multiply 12 by 0.22. This gives us 2.64, which is the correct answer.

Rate this question:
8.

(403) Which statistical technique is an example of descriptive statistics?
- Probability.
- Extrapolation.
- Trend analysis.
- Measurement scales.
Correct Answer

A. Measurement scales.

Explanation

Measurement scales is an example of descriptive statistics because it involves the categorization and measurement of data in order to describe and summarize it. Descriptive statistics focuses on organizing, summarizing, and presenting data in a meaningful way, and measurement scales play a crucial role in this process by providing a framework for classifying and quantifying variables. Probability, extrapolation, and trend analysis, on the other hand, are examples of inferential statistics which involve making inferences and predictions based on data.

Rate this question:
9.

(404) In the equation Y=X+2, what does the symbol “Y” represent?
- Exponent.
- Inequality.
- Subscript.
- Variable.
Correct Answer

A. Variable.

Explanation

In the equation Y=X+2, the symbol "Y" represents a variable. In algebraic equations, variables are used to represent unknown quantities or values that can vary. In this equation, "Y" is the variable that represents the value that is being calculated or solved for. The equation states that "Y" is equal to the value of "X" plus 2. So, "Y" is the variable that represents the result of adding 2 to the value of "X".

Rate this question:
10.

(404) What is the value of 4^3?
- 64.
- 24.
- 12.
- 7.
Correct Answer

A. 64.

Explanation

The value of 4^3 can be calculated by multiplying 4 by itself three times. So, 4^3 is equal to 4 * 4 * 4, which equals 64.

Rate this question:
11.

(405) A sample of a population that is taken in such a manner that each value has an equal chance of being selected is referred to as a?
- Biased sample
- Random sample
- Sampling theory
- Sampling application
Correct Answer

A. Random sample

Explanation

A random sample is a sample of a population that is taken in such a manner that each value has an equal chance of being selected. This means that every member of the population has an equal probability of being included in the sample, which helps to ensure that the sample is representative of the population as a whole. Random sampling is important in statistical analysis as it helps to reduce bias and increase the generalizability of the findings to the larger population.

Rate this question:
12.

(405) If you construct a QLP retrieval to select every 8th record, you are using which sampling technique?
- Selective
- Stratified
- Systematic
- Purposeful
Correct Answer

A. Systematic

Explanation

A systematic sampling technique involves selecting every nth element from a population, in this case every 8th record. This method ensures that the selected sample is representative of the entire population, as it follows a predetermined pattern. The other options, selective, stratified, and purposeful sampling techniques, involve different criteria for selecting the sample and do not follow a systematic pattern. Therefore, the correct answer is systematic.

Rate this question:
13.

(406) Which measurement scale consists of equal intervals between scale values and an arbitrary zero point?
- Ratio
- Nominal
- Ordinal
- Interval
Correct Answer

A. Interval

Explanation

The interval measurement scale consists of equal intervals between scale values and an arbitrary zero point. This means that the differences between the values on the scale are meaningful and can be compared. However, the zero point is arbitrary and does not indicate the absence of the measured attribute. This scale allows for the calculation of differences and the determination of relative magnitude between values.

Rate this question:
14.

(406) You are given two pieces of test equipment that must be loaded on a pallet. One piece weighs 125 pounds and the other piece weighs 3.5 times as much. Using the ratio measurement scale, how much does the second piece of equipment weigh?
- 375.0 pounds
- 415.5 pounds
- 437.5 pounds
- 500.0 pounds
Correct Answer

A. 437.5 pounds

Explanation

The second piece of equipment weighs 437.5 pounds. This is because the first piece weighs 125 pounds and the second piece weighs 3.5 times as much, which is calculated by multiplying 125 by 3.5. This equals 437.5 pounds.

Rate this question:
15.

(406) Given measurements of 5.0 hours, 10.0 hours, 15.0 hours, and 20.0 hours, what type of data and measurement scale would you use to classify these data items?
- Discrete; ratio
- Discrete; interval
- Continuous; ratio
- Continuous; interbal
Correct Answer

A. Continuous; ratio

Explanation

The given measurements of 5.0 hours, 10.0 hours, 15.0 hours, and 20.0 hours represent continuous data because they can take on any value within a range. The measurement scale used to classify these data items is ratio because the values have a meaningful zero point and can be compared using ratios.

Rate this question:
16.

(407) The second step in making a frequency distribution is to
- Determine the range of the data
- Determine the class interval size
- Range the data from largest to smallest
- Range the data from smallest to largest
Correct Answer

A. Determine the class interval size

Explanation

The second step in making a frequency distribution is to determine the class interval size. This is because the class interval size determines the width of each interval or group in which the data will be organized. By determining the appropriate class interval size, we can ensure that the data is grouped in a meaningful and organized manner, allowing for easier analysis and interpretation of the frequency distribution.

Rate this question:
17.

(407) With a noncumulative frequency distribution range of 3.6, which class interval will give you 18 classes?
- 0.1
- 0.2
- 0.3
- 0.4
Correct Answer

A. 0.2

Explanation

The noncumulative frequency distribution range represents the difference between the highest and lowest values in a data set. In this case, the range is 3.6. To find the class interval that will give you 18 classes, you need to divide the range by the number of classes. So, 3.6 divided by 18 equals 0.2. Therefore, the class interval that will give you 18 classes is 0.2.

Rate this question:
18.

(407) One way of comparing class frequencies to the total frequency is by
- Indirect comparison
- Direct comparison
- Visual inspection
- Percentage
Correct Answer

A. Percentage

Explanation

One way of comparing class frequencies to the total frequency is by using percentages. This involves calculating the proportion of each class frequency relative to the total frequency and expressing it as a percentage. This method allows for a clear comparison between different class frequencies and provides a standardized measure that is easily understandable. By using percentages, it is possible to identify the relative importance or contribution of each class to the total frequency.

Rate this question:
19.

(408) What does each rectangle in a histogram represent?
- Value of the data
- One class of data
- Upper and lower limits
- Number of frequencies
Correct Answer

A. One class of data

Explanation

Each rectangle in a histogram represents one class of data. A histogram is a graphical representation of a frequency distribution, where the data is divided into different classes or intervals. The height of each rectangle represents the frequency or number of observations within that particular class. Therefore, each rectangle represents a specific range or class of data values.

Rate this question:
20.

(408) When constructing a frequency polygon, what are plotted against the corresponding midpoints?
- Series of rectangles
- Individual values of data
- Lower limit and baseline
- Frequencies of the various class intervals
Correct Answer

A. Frequencies of the various class intervals

Explanation

When constructing a frequency polygon, the frequencies of the various class intervals are plotted against the corresponding midpoints. The frequency polygon is a graphical representation of the distribution of data, where the midpoints of the class intervals are plotted on the x-axis and the frequencies are plotted on the y-axis. This allows for visualizing the shape and pattern of the data distribution.

Rate this question:
21.

(409) What measure of central tendency is the most typical value in a distribution?
- Mean
- Mode
- Median
- Weighted mean
Correct Answer

A. Mode

Explanation

The mode is the value that appears most frequently in a distribution, making it the most typical value. Unlike the mean and median, the mode is not affected by extreme values or outliers, which may skew the data. Therefore, the mode provides a good representation of the central tendency of a distribution.

Rate this question:
22.

(409) The mode is the only measure of central tendency that can be used with what measurement scale?
- Ratio
- Interval
- Ordinal
- Nominal
Correct Answer

A. Nominal

Explanation

The mode is the only measure of central tendency that can be used with the nominal measurement scale because it only requires categorizing data into distinct categories without any specific order or numerical value. The mode represents the category that appears most frequently in the data, making it applicable for nominal variables where the data is qualitative and cannot be quantitatively compared or ordered.

Rate this question:
23.

(410) Analysts frequently use the median because it is easy to compute and gives a better picture of data than the mean and mode when data are
- Normal
- Skewed
- Incomplete
- Inconclusive
Correct Answer

A. Skewed

Explanation

The correct answer is "skewed". Analysts frequently use the median because it is easy to compute and gives a better picture of data when the data are skewed. Skewness refers to the asymmetry in the distribution of data. When data are skewed, the mean can be heavily influenced by extreme values, making it less representative of the overall data. The median, on the other hand, is less affected by outliers and provides a more accurate measure of central tendency in skewed data.

Rate this question:
24.

(410) The median cannot be used with data from which measurement scale?
- Nominal
- Interval
- Ordinal
- Ratio
Correct Answer

A. Nominal

Explanation

The median cannot be used with data from the nominal measurement scale because the nominal scale only categorizes data into different groups or categories without any numerical or quantitative value. The median is a measure of central tendency that requires numerical values to determine the middle value. Since the nominal scale does not assign numerical values to the categories, it is not possible to calculate the median.

Rate this question:
25.

(410) What must you do first to determine the median from ungrouped data?
- Arrange the data in classes
- Determine the numerical averages
- Determine the total of the values
- Arrange the data in ascending order
Correct Answer

A. Arrange the data in ascending order

Explanation

To determine the median from ungrouped data, the first step is to arrange the data in ascending order. This is because the median is the middle value when the data is sorted in ascending order. By arranging the data in ascending order, it becomes easier to identify the middle value and calculate the median accurately.

Rate this question:
26.

(411) The harmonic mean is used primarily for averaging
- Data of varying weights
- Skewed distributions
- Approximate values
- Rates
Correct Answer

A. Rates

Explanation

The harmonic mean is commonly used for averaging rates because it gives more weight to smaller values. This is useful when calculating rates because it ensures that outliers or extreme values do not disproportionately influence the average. The harmonic mean is calculated by dividing the number of observations by the sum of their reciprocals, which effectively gives more weight to smaller values. Therefore, it is an appropriate measure to use when averaging rates.

Rate this question:
27.

(411) Compute a weighted mean for a distribution containing two values of 3 each, four values of 2 each, and four values of 5 each.
- 1.0
- 3.4
- 6.6
- 11.3
Correct Answer

A. 3.4

Explanation

The weighted mean is calculated by multiplying each value by its corresponding weight, summing these products, and dividing by the total number of values. In this case, the calculation would be: (3*2 + 2*4 + 5*4) / (2+4+4) = 34 / 10 = 3.4.

Rate this question:
28.

(411) The arithmetic mean should be weighted when
- Like values are found in a data series
- All items in a series are equal
- A mean of means is desired
- A series cannot be grouped
Correct Answer

A. A mean of means is desired

Explanation

When a mean of means is desired, the arithmetic mean should be weighted. This means that instead of treating each mean equally, certain means are given more importance or weightage based on their significance or relevance in the overall calculation. Weighted means are used when different subsets of data have varying degrees of importance and need to be considered accordingly in the final calculation.

Rate this question:
29.

(411) Three workers perform a similar task. Worker A takes 30 minutes to complete the task and can finish 2 jobs per hour. Worker B takes 20 minutes to complete the task and can complete 3 jobs per hour. Worker C takes 40 minutes to complete the task, and completes 1.5 jobs per hour. Which calculation method will you use to find the average time it takes to complete the job?
- Harmonic mean
- Arithmetic mean
- Weighted harmonic mean
- Weighted arithmetic mean
Correct Answer

A. Harmonic mean

Explanation

The harmonic mean is the appropriate calculation method to find the average time it takes to complete the job in this scenario. The harmonic mean is used when dealing with rates or speeds, and it gives more weight to slower speeds. Since each worker completes a different number of jobs per hour and takes a different amount of time to complete the task, the harmonic mean will take into account the varying rates of completion and provide a more accurate average time.

Rate this question:
30.

(411) A unique feature of the harmonic mean is it
- Can only be used for grouped data
- Will always be less than the arithmetic means
- Is only used to average skewed distributions
- Is never weighted when varous quantities of the denominator factors are used
Correct Answer

A. Will always be less than the arithmetic means

Explanation

The harmonic mean is a mathematical average that is used to calculate the overall average of a set of numbers. Unlike the arithmetic mean, the harmonic mean gives more weight to smaller values. This means that the harmonic mean will always be less than the arithmetic mean, as it takes into account the reciprocal of the values being averaged. Therefore, the correct answer is that the harmonic mean will always be less than the arithmetic mean.

Rate this question:
31.

(412) For any distribution, the sum of the deviations is
- One
- Zero
- Less than one
- More than one
Correct Answer

A. Zero

Explanation

The sum of the deviations for any distribution is zero because the deviations are calculated as the difference between each data point and the mean. Some data points will be above the mean and some will be below, resulting in positive and negative deviations. When these deviations are summed up, the positive and negative values cancel each other out, resulting in a sum of zero.

Rate this question:
32.

(412) What is the population standard deviation for the following values: 6, 8, 9, 14, and 22? Formula:
- 5.7
- 6.4
- 11.8
- 32.5
Correct Answer

A. 5.7

Explanation

The correct answer is 5.7. The population standard deviation is a measure of the amount of variation or dispersion in a set of values. It is calculated using the formula: square root of the sum of the squared differences between each value and the mean, divided by the total number of values. In this case, the calculation yields a result of 5.7.

Rate this question:
33.

(412) In a sample, you have 10 X-values, and each value is equal to 7. What is the standard deviation of the sample? Formula for standard deviation:
- 0
- 2.6
- 14
- 49
Correct Answer

A. 0

Explanation

The standard deviation measures the amount of variation or dispersion in a set of values. In this case, all the X-values in the sample are equal to 7. Since there is no variation or deviation from the mean value of 7, the standard deviation is 0.

Rate this question:
34.

(412) As the number of values in a normal distribution sample decreases, the standard deviation
- Becomes more representative of the population
- Become less representative of the population
- Remains the same
- Increases
Correct Answer

A. Become less representative of the population

Explanation

As the number of values in a normal distribution sample decreases, the standard deviation becomes less representative of the population. This is because with fewer values, there is less data available to accurately estimate the variability in the population. The standard deviation is a measure of how spread out the data is, and with a smaller sample size, there is a higher chance of the sample not being representative of the entire population. Therefore, the standard deviation becomes less reliable as an estimate of the population's variability.

Rate this question:
35.

(413) Given a large number of random samples, the mean of all the sample means related to the population mean is
- The same
- Radically different
- Exactly 3 standard deviations apart
- Mor than 3 standard deviations apart
Correct Answer

A. The same

Explanation

When taking a large number of random samples, the mean of all the sample means will be the same as the population mean. This is because the sample means are unbiased estimators of the population mean, meaning that on average they will be equal to the population mean. Therefore, as the number of samples increases, the sample means will converge to the population mean, resulting in the mean of all the sample means being the same as the population mean.

Rate this question:
36.

(413) In estimating the standard error of the mean, for what sample size do you use n–1 in the formula?
- 10 or more
- 50 or more
- Less than 25
- Less than 30
Correct Answer

A. Less than 30

Explanation

The correct answer is "Less than 30" because when the sample size is less than 30, it is recommended to use n-1 in the formula for estimating the standard error of the mean. This adjustment is made to account for the fact that the sample size is small and the estimate of the population standard deviation may be less accurate. Using n-1 instead of n in the formula helps to provide a more conservative estimate of the standard error.

Rate this question:
37.

(414) A normal distribution contains what two parameters?
- Mean and mode
- Standard error of the mode
- Mean and the standard deviation
- Standard error and the standard deviation
Correct Answer

A. Mean and the standard deviation

Explanation

A normal distribution is characterized by two parameters: the mean, which represents the average value of the distribution, and the standard deviation, which measures the spread or variability of the data around the mean. The mean determines the central tendency of the distribution, while the standard deviation indicates the dispersion of the data points. Therefore, the correct answer is "Mean and the standard deviation."

Rate this question:
38.

If , what is the estimate of the standard error of the mean of a sample with a standard deviation of 3 and a sample size of 10?
- .3
- .33
- 1.0
- 5.0
Correct Answer

A. 1.0

Explanation

The estimate of the standard error of the mean is calculated by dividing the standard deviation by the square root of the sample size. In this case, the standard deviation is 3 and the sample size is 10. Dividing 3 by the square root of 10 gives an estimate of approximately 1.0.

Rate this question:
39.

(414) In a normal distribution, how many standard deviations on each side of the mean contain over 99 percent of the area under the normal area curve within?
- 1
- 2
- 3
- 4
Correct Answer

A. 3

Explanation

In a normal distribution, approximately 99 percent of the area under the curve falls within three standard deviations on each side of the mean. This means that the range from three standard deviations below the mean to three standard deviations above the mean contains the majority of the data.

Rate this question:
40.

(414) When plotted on normal probability graph paper, data from a normal distribution shows up as a
- Circle
- Curved line
- Straight line
- Bell-shaped curve
Correct Answer

A. Straight line

Explanation

When plotted on normal probability graph paper, data from a normal distribution shows up as a straight line. This is because the normal distribution is symmetric and bell-shaped, with the majority of the data concentrated around the mean. The straight line on the graph represents the cumulative probability of the data points falling below a certain value. As the data points are evenly distributed on both sides of the mean, the line appears straight.

Rate this question:
41.

(415) If the mean equals 24 and s equals 6, what are the values of the mean ± 2s?
- 24 and 48
- 18 and 36
- 12 and 36
- 12 and 24
Correct Answer

A. 12 and 36

Explanation

The given question asks for the values of the mean ± 2s. The mean is given as 24 and s is given as 6. To find the values of the mean ± 2s, we need to add and subtract 2 times the value of s from the mean. So, 24 + 2(6) = 24 + 12 = 36, and 24 - 2(6) = 24 - 12 = 12. Therefore, the values of the mean ± 2s are 12 and 36.

Rate this question:
42.

(415) How many standard deviations are represented by a value of 22 if the and s = 5? Formula:
- -2.8
- -1.6
- 1.6
- 2.8
Correct Answer

A. 1.6

Explanation

A value of 22 is 1.6 standard deviations above the mean if the standard deviation is 5. This can be calculated by subtracting the mean from the value (22 - 0) and dividing the result by the standard deviation (5). The result is 4.4/5 = 0.88. Since the value is above the mean, the answer is positive, so the number of standard deviations is 0.88 or approximately 1.6.

Rate this question:
43.

(416) Where does the most frequent value of a normal curve occur?
- At the center of the distribution
- At all points in the distributions
- At the tail end of the distribution
- Away from the center of the distribution
Correct Answer

A. At the center of the distribution

Explanation

The most frequent value of a normal curve occurs at the center of the distribution. In a normal distribution, the data is symmetrically distributed around the mean. The peak of the curve, known as the mode, represents the value that occurs most frequently in the data set. Since the normal curve is symmetrical, the mode is located at the center of the distribution where the curve is highest. Therefore, the correct answer is "At the center of the distribution."

Rate this question:
44.

(417) The causes of variation that can be identified on a control chart, regulated, and possibly eliminated are
- Natural
- Random
- Assignable
- Due to chance
Correct Answer

A. Assignable

Explanation

The correct answer is "assignable". Assignable causes of variation are those that can be identified on a control chart, regulated, and possibly eliminated. These causes are not due to chance or random variation, but rather they are specific and identifiable factors that can be controlled or adjusted to improve the process.

Rate this question:
45.

(417) The purpose of a control chart in statistics is to
- Identify causes for variation
- Eliminate causes for variation
- Detect the presence of chance causes for variation
- Detect the presence of assignable causes for variation
Correct Answer

A. Detect the presence of assignable causes for variation

Explanation

A control chart in statistics is a tool used to monitor and track variation in a process over time. It helps to distinguish between natural variation (chance causes) and variation caused by specific factors (assignable causes). By detecting the presence of assignable causes for variation, a control chart allows for the identification and elimination of these causes, leading to improved process performance and quality.

Rate this question:
46.

(418) When identifying processes out of control and using a control chart, what action should you take if you have set your control limits at three standard deviations and later find not enough time is spent looking for assignable causes?
- Switch to tighter limits
- Recalculate the standard deviation
- Keep established limits and do not investigate
- Discard current data and recalculate the standard deviation
Correct Answer

A. Switch to tighter limits

Explanation

If not enough time is spent looking for assignable causes, it means that there is a higher chance of missing any potential issues or problems in the process. To ensure that any out of control processes are identified, it is recommended to switch to tighter control limits. Tighter limits will increase the sensitivity of the control chart and make it easier to detect any variations or assignable causes. This will help in maintaining the quality and stability of the process.

Rate this question:
47.

(419) In statistical terms, what does the control chart for plotting individual X values use for the centerline?
- Mean
- Mode
- Standard deviation
- Standard error of the mean
Correct Answer

A. Mean

Explanation

The control chart for plotting individual X values uses the mean for the centerline. This means that the average value of the X values is used as a reference point on the control chart. By using the mean as the centerline, any deviations from the mean can be easily identified and analyzed for potential causes or issues.

Rate this question:
48.

(419) The statistical interpretation of a control chart for individuals would be distorted if the
- Distribution is normal
- Distribution is extremely skewed
- Standard deviation is too small
- Standard deviation is to large
Correct Answer

A. Distribution is extremely skewed

Explanation

If the distribution of the data in a control chart for individuals is extremely skewed, it means that the data is not evenly distributed and is heavily concentrated towards one side. This can lead to a distortion in the statistical interpretation of the control chart because the assumptions of normality may not hold. Control charts are typically based on the assumption of a normal distribution, so when the distribution is extremely skewed, the control limits and other statistical measures may not accurately represent the process being monitored.

Rate this question:
49.

(420) A statistical chart for averages is used to plot
- Control limits
- Individual values
- Standard deviations
- Means of small samples
Correct Answer

A. Standard deviations

Explanation

A statistical chart for averages is not used to plot control limits or individual values. Control limits are typically plotted on a control chart to determine if a process is in control or out of control. Individual values are plotted on a scatter plot or line graph to show the variation of data points over time or across different variables. A statistical chart for averages, also known as an average chart or X-bar chart, is used to plot the means of small samples taken from a population. This helps to monitor the central tendency of the data and detect any shifts or trends in the process. Therefore, the correct answer is standard deviations.

Rate this question:

Quiz Review Timeline (Updated): May 8, 2024 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
May 08, 2024

Quiz Edited by
ProProfs Editorial Team
Jun 10, 2013

Quiz Created by
Chris7781

CDC 2r051 Vol. 3 Statistical Methods

(401) A natural number is stated as a positive number that

Quiz Preview

(401) What is the value of 5 ÷ 2 × 6?

(401) When using natural numbers, a number placed directly behind brackets, with no sign of operation between, indicates that

(401) Which phrase is true regarding signed numbers?

(401) Compute the difference of the signed numbers –17 – (–10).

(401) How do you write: “The square root of 25 is 5.” as a mathematical expression?

(402) What is 22 percent of 12?

(403) Which statistical technique is an example of descriptive statistics?

(404) In the equation Y=X+2, what does the symbol “Y” represent?

(404) What is the value of 4^3?

(405) A sample of a population that is taken in such a manner that each value has an equal chance of being selected is referred to as a?

(405) If you construct a QLP retrieval to select every 8th record, you are using which sampling technique?

(406) Which measurement scale consists of equal intervals between scale values and an arbitrary zero point?

(406) You are given two pieces of test equipment that must be loaded on a pallet. One piece weighs 125 pounds and the other piece weighs 3.5 times as much. Using the ratio measurement scale, how much does the second piece of equipment weigh?

(406) Given measurements of 5.0 hours, 10.0 hours, 15.0 hours, and 20.0 hours, what type of data and measurement scale would you use to classify these data items?

(407) The second step in making a frequency distribution is to

(407) With a noncumulative frequency distribution range of 3.6, which class interval will give you 18 classes?

(407) One way of comparing class frequencies to the total frequency is by

(408) What does each rectangle in a histogram represent?

(408) When constructing a frequency polygon, what are plotted against the corresponding midpoints?

(409) What measure of central tendency is the most typical value in a distribution?

(409) The mode is the only measure of central tendency that can be used with what measurement scale?

(410) Analysts frequently use the median because it is easy to compute and gives a better picture of data than the mean and mode when data are

(410) The median cannot be used with data from which measurement scale?

(410) What must you do first to determine the median from ungrouped data?

(411) The harmonic mean is used primarily for averaging

(411) Compute a weighted mean for a distribution containing two values of 3 each, four values of 2 each, and four values of 5 each.

(411) The arithmetic mean should be weighted when

(411) A unique feature of the harmonic mean is it

(412) For any distribution, the sum of the deviations is

(412) What is the population standard deviation for the following values: 6, 8, 9, 14, and 22? Formula:

(412) In a sample, you have 10 X-values, and each value is equal to 7. What is the standard deviation of the sample? Formula for standard deviation:

(412) As the number of values in a normal distribution sample decreases, the standard deviation

(413) Given a large number of random samples, the mean of all the sample means related to the population mean is

(413) In estimating the standard error of the mean, for what sample size do you use n–1 in the formula?

(414) A normal distribution contains what two parameters?

If , what is the estimate of the standard error of the mean of a sample with a standard deviation of 3 and a sample size of 10?

(414) In a normal distribution, how many standard deviations on each side of the mean contain over 99 percent of the area under the normal area curve within?

(414) When plotted on normal probability graph paper, data from a normal distribution shows up as a

(415) If the mean equals 24 and s equals 6, what are the values of the mean ± 2s?

(415) How many standard deviations are represented by a value of 22 if the and s = 5? Formula:

(416) Where does the most frequent value of a normal curve occur?

(417) The causes of variation that can be identified on a control chart, regulated, and possibly eliminated are

(417) The purpose of a control chart in statistics is to

(418) When identifying processes out of control and using a control chart, what action should you take if you have set your control limits at three standard deviations and later find not enough time is spent looking for assignable causes?

(419) In statistical terms, what does the control chart for plotting individual X values use for the centerline?

(419) The statistical interpretation of a control chart for individuals would be distorted if the

(420) A statistical chart for averages is used to plot