Quiz : How Much You Know About Measures Of Central Tendency?
Mean, median & mode are important concepts in mathematics. How much do you know about the measure of central tendency? With this quiz, get ready to test your knowledge. All the questions given in the quiz are in simple multiple choice questions format. There are four options, and you are expected to choose the correct option. Make sure to read the questions properly before attempting the questions. You are expected to attempt all the given questions. Interestingly, you can take this quiz to prepare for your Math exams as well, isn't it cool? Have fun & good luck!
Questions and Answers
- 1.
Find the mean of the data below. 7, 23, 11, 32, 9
- A.
11
- B.
16.4
- C.
25
- D.
7
Correct Answer
B. 16.4Explanation
The mean is calculated by adding up all the numbers in the data set and then dividing by the total number of values. In this case, the sum of the numbers is 7 + 23 + 11 + 32 + 9 = 82. Since there are 5 numbers in the data set, the mean is 82 divided by 5, which equals 16.4.Rate this question:
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- 2.
If a data set has an outlier, which measure of central tendency would be the best measure of the middle to use?
- A.
Mean
- B.
Median
- C.
Mode
- D.
Range
Correct Answer
B. MedianExplanation
When a data set has an outlier, the best measure of central tendency to use is the median. The median is the middle value of a data set when it is arranged in ascending or descending order. Unlike the mean, which is greatly influenced by outliers, the median is not affected by extreme values. Therefore, it provides a more accurate representation of the middle value in a data set that contains outliers. The mode is not applicable in this case since it represents the most frequently occurring value, and the range only provides information about the spread of the data.Rate this question:
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- 3.
Which of the following statements is NOT true about the two data sets below? Set A: 156, 175, 122, 141, 178, 111 147.17 148.5 Set B: 189, 210, 167, 100, 125, 143 155.67 155
- A.
The mean for Set A is approximately 9 more than Set B.
- B.
The man for Set A is approximately 9 less than Set B.
- C.
The median for Set A is 148.5.
- D.
The median for Set B is approximately 6 more than Set A.
Correct Answer
A. The mean for Set A is approximately 9 more than Set B.Explanation
The mean for Set A is not approximately 9 more than Set B because the mean for Set A is 147.17 and the mean for Set B is 155.67. The difference between the two means is approximately 8.5, not 9.Rate this question:
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- 4.
Which data set has a larger spread in the top 25%? Joy: 52, 67, 73, 81, 83, 89, 93 Chrystal: 68, 72, 73, 79, 84, 85 Jacob: 72, 75, 78, 81, 85, 89, 98 Sasha: 88, 89, 92, 95, 95, 96, 100
- A.
Joy
- B.
Chrystal
- C.
Jacob
- D.
Sasha
Correct Answer
C. JacobExplanation
Jacob has a larger spread in the top 25% because his data set includes the highest values among all the given data sets. The top 25% of Jacob's data set includes the values 85, 89, and 98, which are higher than any values in the other data sets. Therefore, Jacob's data set has a larger spread in the top 25%.Rate this question:
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- 5.
Your county is conducting a survey to determine the mean annual income per household. Which of the following sampling methods would be more likely to result in a representative sample?
- A.
A phone survey of 100 people between 2 and 3 pm.
- B.
Survey's sent to 100 single family homes.
- C.
Survey's sent to 100 homes that were randomly selected from a database of all county adults.
- D.
None of these
Correct Answer
C. Survey's sent to 100 homes that were randomly selected from a database of all county adults.Explanation
A survey sent to 100 homes that were randomly selected from a database of all county adults would be more likely to result in a representative sample because it ensures that every adult in the county has an equal chance of being selected. This method helps to minimize bias and increase the likelihood that the sample accurately represents the entire population. The other options, such as a phone survey during a specific time frame or surveys sent to single-family homes, may introduce selection bias and may not accurately reflect the entire population.Rate this question:
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- 6.
Find the MAD for the data set below. 18, 15, 24, 12, 29, 31, 24, 19, 27
- A.
22.1
- B.
48.9
- C.
5.43
- D.
24
Correct Answer
C. 5.43Explanation
The mean absolute deviation (MAD) is a measure of the dispersion or spread of a data set. It is calculated by finding the absolute difference between each data point and the mean of the data set, and then taking the average of these differences. In this case, the given data set is 18, 15, 24, 12, 29, 31, 24, 19, 27. To find the MAD, we first calculate the mean of the data set, which is 22.1. Then, we find the absolute difference between each data point and the mean: |18-22.1|, |15-22.1|, |24-22.1|, |12-22.1|, |29-22.1|, |31-22.1|, |24-22.1|, |19-22.1|, |27-22.1|. Taking the average of these absolute differences, we get 5.43. Therefore, the MAD for this data set is 5.43.Rate this question:
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- 7.
Which of the following is NOT an example of a measure of central tendency?
- A.
Mean
- B.
Range
- C.
Median
- D.
Mode
Correct Answer
B. RangeExplanation
The range is not an example of a measure of central tendency because it measures the dispersion or spread of data rather than its central value. Measures of central tendency, such as the mean, median, and mode, are used to describe the typical or central value of a dataset. The range, on the other hand, simply calculates the difference between the maximum and minimum values in the dataset, providing information about the variability or spread of the data points.Rate this question:
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- 8.
What does percentile do?
- A.
Divides the set into two equal parts
- B.
Add all the given sets
- C.
Divides the set into 100 equal parts
- D.
Option 4
Correct Answer
C. Divides the set into 100 equal partsExplanation
Percentile is a statistical measure that divides a set of data into 100 equal parts. It represents the percentage of values below a certain point in the data set. For example, if a student scores in the 80th percentile on a test, it means that their score is higher than 80% of the other scores. Therefore, the correct answer is "Divides the set into 100 equal parts."Rate this question:
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- 9.
How can you find the value of mode graphically?
- A.
Histogram
- B.
Pie chart
- C.
Bar graph
- D.
All of the above
Correct Answer
A. HistogramExplanation
A histogram is a graphical representation of data that uses bars to represent the frequency or count of different categories or intervals. The mode is the value or category that appears most frequently in the data. By examining the heights of the bars in a histogram, we can determine which category or interval has the highest frequency, thus identifying the mode graphically. Therefore, a histogram is a suitable tool for finding the value of mode graphically.Rate this question:
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- 10.
To calculate the median correctly, what must be done?
- A.
Arrange all the data in random order
- B.
Add all the data
- C.
Arrange all the data in an ascending or descending order
- D.
All of the above
Correct Answer
C. Arrange all the data in an ascending or descending orderExplanation
To calculate the median correctly, it is necessary to arrange all the data in an ascending or descending order. This is because the median is the middle value of a dataset when it is ordered. By arranging the data in a specific order, it becomes easier to identify the middle value and accurately calculate the median. Arranging the data in random order or adding all the data would not provide the correct result for calculating the median.Rate this question:
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