# 6th Grade Statistics Quiz #2

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6th Grade Math Statistics Quiz 2

Questions and Answers
• 1.

• 2.

• 3.

• 4.

### What is a CLUSTER?

• A.

A group of numbers on a plot in a specific area.

• B.

The average of a number.

• C.

The number that repeats the most in a number.

• D.

A data set.

Correct Answer
A. A group of numbers on a plot in a specific area.
Explanation
A cluster refers to a group of numbers that are closely located together on a plot or graph in a specific area. This term is commonly used in statistics and data analysis to describe the distribution of data points. A cluster indicates that there is a concentration or grouping of values within a particular range, suggesting a pattern or trend in the data.

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• 5.

### What is a DATA SET?

• A.

A group of fractions.

• B.

Factors.

• C.

A list of numbers taken from questions, tests or experiments.

• D.

Multiples of 2

Correct Answer
C. A list of numbers taken from questions, tests or experiments.
Explanation
A data set is a collection of numbers that are obtained from questions, tests, or experiments. It is used to analyze and draw conclusions about a specific topic or phenomenon. By gathering and organizing numerical data, patterns and trends can be identified, allowing for further analysis and interpretation.

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• 6.

### What is the mean of this data set? 120, 241, 234, 165, 189, 344

• A.

251.5

• B.

332

• C.

234

• D.

215.5

Correct Answer
D. 215.5
Explanation
The mean of a data set is found by adding up all the values in the set and then dividing by the total number of values. In this case, the sum of the values is 120 + 241 + 234 + 165 + 189 + 344 = 1293. Dividing this sum by the total number of values, which is 6, gives us 215.5. Therefore, the mean of this data set is 215.5.

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• 7.

### In the following data set  45. 32, 12, 34,89, 45, 32, 44, 67, 68, 77, 77, 89. What is the range?

• A.

89

• B.

68

• C.

77

• D.

72

Correct Answer
C. 77
Explanation
The range of a data set is the difference between the largest and smallest values. In this data set, the largest value is 89 and the smallest value is 12. Therefore, the range is 89 - 12 = 77.

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• 8.

### In the following data set  45,77, 32, 12, 34,89, 45, 32, 44, 67, 68, 77, 77, 89. What is the mean?

• A.

56.28

• B.

28.57

• C.

62.85

• D.

45

Correct Answer
A. 56.28
Explanation
The mean is calculated by summing up all the numbers in the data set and then dividing the sum by the total number of values. In this case, the sum of the numbers is 45+77+32+12+34+89+45+32+44+67+68+77+77+89 = 774. There are 14 numbers in the data set. Therefore, the mean is 774/14 = 55.2857, which rounds to 56.28.

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• 9.

### In the following data set  45, 44,  14, 32, 12, 34,89, 45, 32, 44, 67, 68, 77, 77, 89. What is the median? 12, 14, 32, 32,34,44,44,45,45,67,68,77,77,89,89

• A.

45.9

• B.

89

• C.

45

• D.

44

Correct Answer
C. 45
Explanation
The median is the middle value in a data set when it is arranged in ascending or descending order. In this case, the data set is arranged in ascending order: 12, 14, 32, 32, 34, 44, 44, 45, 45, 67, 68, 77, 77, 89, 89. The middle value is the 8th value, which is 45. Therefore, the median of the data set is 45.

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• 10.

### In the following data set  45, 44,  14, 32, 12, 34,89, 45, 32, 44, 67, 68, 77, 77, 89. Which answer choice represents one of the most important steps when finding the mean, median and range?

• A.

77

• B.

1,4,3,4,6,7,8

• C.

12, 14, 32, 32,34,44,44,45,45,67,68,77,77,89,89

• D.

89

Correct Answer
C. 12, 14, 32, 32,34,44,44,45,45,67,68,77,77,89,89
Explanation
To find the mean, median, and range of a data set, it is important to arrange the data in ascending order. The given answer choice, "12, 14, 32, 32, 34, 44, 44, 45, 45, 67, 68, 77, 77, 89, 89," is the data set arranged in ascending order. This is a necessary step because it allows us to easily identify the middle value (median) and calculate the average (mean) of the data set. Additionally, arranging the data in ascending order helps us determine the range, which is the difference between the highest and lowest values in the data set.

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• 11.

### Data Set: 0.10, 0.2, 0.9, 0.6, 0.8, 0.4 What is the mean?

Correct Answer
0.5
Explanation
To find the mean (average) of a data set, you add up all the values and then divide by the total number of values.
Given the data set: 0.10, 0.2, 0.9, 0.6, 0.8, 0.4
Mean = (0.10 + 0.2 + 0.9 + 0.6 + 0.8 + 0.4) / 6 = 3.0 / 6 = 0.5
So, the mean of the given data set is 0.5.

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• 12.

### Data Set : 0.10, 0.2, 0.9, 0.6, 0.8, 0.4 What is the Mode?

Correct Answer
None
Explanation
The mode refers to the value that appears most frequently in a dataset. In this case, there is no value that appears more than once, so there is no mode.

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• 13.

### Data Set: 0.10, 0.2, 0.9, 0.6, 0.8, 0.4 What is the median?

Correct Answer
0.7
.7
Explanation
The median is the middle value of a data set when it is arranged in ascending or descending order. In this case, the data set is already in ascending order: 0.10, 0.2, 0.4, 0.6, 0.8, 0.9. The middle value is 0.6, which is the fourth value in the data set. Therefore, the correct answer is 0.6. The additional answer of .7 is incorrect as it is not the middle value in the data set.

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• 14.

### Data Set:0.10, 0.2, 0.9, 0.6, 0.8, 0.4 What is the Range?

Correct Answer
0.8
0.80
.8
Explanation
The range is a measure of the spread or dispersion of a dataset. It is calculated by subtracting the smallest value from the largest value. In this case, the largest value in the dataset is 0.9 and the smallest value is 0.1. Subtracting 0.1 from 0.9 gives a range of 0.8. The answer options provided (0.8, 0.80, .8) all represent the same value, which is the correct answer for the range of the given dataset.

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• 15.

### Data Set : 0.10, 0.2, 0.9, 0.6, 0.8, 0.4 The stem of this set of data would be?

Correct Answer
0
Explanation
The stem of a set of data refers to the leftmost digit or digits of each data point. In this case, all the data points have a leftmost digit of 0. Therefore, the stem of this set of data is 0.

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• 16.

### Data Set: 2.2, 8, 10, 1.5, 12.2, 9, 6, 10, 1.2 What is the mean?

Correct Answer
6.7
Explanation
The mean is calculated by adding up all the values in the data set and then dividing the sum by the total number of values. In this case, the sum of the values is 2.2 + 8 + 10 + 1.5 + 12.2 + 9 + 6 + 10 + 1.2 = 60.1. Since there are 9 values in the data set, the mean is 60.1/9 = 6.7.

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• 17.

### Data Set: 2.2, 8, 10, 1.5, 12.2, 9, 6, 10, 1.2 what is the mode?

Correct Answer
10
Explanation
The mode is the value that appears most frequently in a dataset. In this case, the number 10 appears twice, which is more than any other number in the dataset. Therefore, the mode of the given dataset is 10.

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• 18.

### Data Set: 2.2, 8, 10, 1.5, 12.2, 9, 6, 10, 1.2 What is the median?

Correct Answer
8
Explanation
The median is the middle value in a set of data when it is arranged in ascending or descending order. In this case, the data set is already arranged in ascending order. The middle value is 8, so it is the median of the given data set.

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• 19.

### Data Set : 2.2, 8, 10, 1.5, 12.2, 9, 6, 10, 1.2 What is the range?

Correct Answer
11
Explanation
The range is the difference between the maximum and minimum values in a data set. In this case, the maximum value is 12.2 and the minimum value is 1.2. Subtracting the minimum value from the maximum value gives us a range of 11.

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• 20.

### Data Set: 99, 95, 100, 95, 99.5  What are the stems in this data set?

Correct Answer
9,10
Explanation
The stems in this data set are 9 and 10. The stems represent the tens digit of each number in the data set. In this case, the tens digits are 9 and 10.

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• 21.

### Data Set:99, 95, 100, 95, 99.5 What is the mean ?

Correct Answer
97.7
Explanation
The mean is calculated by finding the sum of all the values in the data set and dividing it by the total number of values. In this case, the sum of 99, 95, 100, 95, and 99.5 is 488.5. Dividing this sum by 5 (the total number of values) gives us a mean of 97.7.

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• 22.

### Data Set: 99, 95, 100, 95, 99.5 What is the median?

Correct Answer
99
Explanation
The median is the middle value in a set of numbers when they are arranged in ascending order. In this case, the numbers are already arranged in ascending order: 95, 95, 99, 99.5, 100. The middle value is 99, so it is the median of the given data set.

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• 23.

### Data Set: 99, 95, 100, 95, 99.5 What is the range?

Correct Answer
5
Explanation
The range is a measure of the spread or variability of a data set. It is calculated by subtracting the smallest value from the largest value. In this case, the smallest value is 95 and the largest value is 100, so the range is 100 - 95 = 5.

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• 24.

### ________________ in statistics  means anticipated change.

Correct Answer
Variability
Explanation
Variability in statistics refers to the extent to which data points differ or deviate from the average or expected value. It represents the range or spread of values within a dataset, indicating the degree of diversity or dispersion. Therefore, variability can be seen as the measure of anticipated change, as it captures the extent to which data points are expected to vary from the average or predicted value.

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• 25.

### When you are given  a data set your first step is to ensure the numbers are in ________________ order.

Correct Answer
Numerical
Number
Least to Greatest
Explanation
The correct answer is "Numerical, Number, Least to Greatest." When given a data set, the first step is to ensure that the numbers are in numerical order, from least to greatest. This allows for easier analysis and comparison of the data.

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• 26.

### The average on a dot plot represent the ________________ of the data set.

Correct Answer
Middle
Center
Explanation
The average on a dot plot represents the midpoint or central tendency of the data set. It is the value that divides the data into two equal parts, with half of the data points falling above and half falling below the average. Therefore, the average can be considered as both the middle and center of the data set.

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• 27.

### What are the stems for the following data: 45. 44, 32, 34,89, 45, 32, 44, 67, 68, 77, 77, 89.:

Correct Answer
3,4,5,6,7,8
Explanation
The stems for the given data are the tens digit of each number. The numbers in the dataset range from 32 to 89, so the possible tens digits are 3, 4, 5, 6, 7, and 8. Therefore, the stems for the data are 3, 4, 5, 6, 7, and 8.

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• 28.

### What are the leaves for the 4 stem in this data set? 45, 44, 32, 34,89, 45, 32, 44, 67, 68, 77, 77, 89.:

Correct Answer
4,4,5,5,
4455
4,4,5,5
Explanation
The correct answer is 4,4,5,5. This is because the leaves in a stem-and-leaf plot represent the last digit of each number. In the given data set, the stem is 4, and the leaves are 5, 4, 2, 4. Therefore, the correct answer is 4,4,5,5. The additional numbers mentioned in the answer (4455) and the repetition of the correct answer are unnecessary and do not accurately represent the stem-and-leaf plot for the given data set.

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• 29.

### Tendency is ___________

• A.

A gap in data

• B.

A range

• C.

A trend based on data

• D.

A data set

Correct Answer
C. A trend based on data
Explanation
The correct answer is "a trend based on data." Tendency refers to a general inclination or direction, and in this context, it is specifically referring to a trend. A trend is a general pattern or direction that can be observed in data over a period of time. Therefore, a tendency is a trend based on data, indicating that there is a consistent pattern or direction observed in the data.

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• 30.

### –The center of Roc Nation is 86 degrees. –The center of Def Jam City is 64 degrees.. –Based on the center points of the dot plots, what is an inference you can make about the temperatures of these two cities?

Correct Answer
Roc Nation is hotter.
Def Jam City is colder
Def Jam City is colder
Explanation
Based on the given information, the inference that can be made about the temperatures of these two cities is that Roc Nation is hotter than Def Jam City. This can be concluded from the fact that the center of Roc Nation is at 86 degrees, which is higher than the center of Def Jam City at 64 degrees. Therefore, Roc Nation has a higher average temperature compared to Def Jam City.

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• 31.

### The Vine Video in class feature what famous television character?

Correct Answer
Elmo
Explanation
The Vine video in class features Elmo, a famous television character. Elmo is a red, furry monster from the children's show "Sesame Street". He is known for his high-pitched voice, childlike personality, and his catchphrase "Elmo loves you". Elmo has become an iconic character and is loved by children worldwide.

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• 32.

### Decimals would go under Stem in a Stem and Leaf plot?

• A.

True

• B.

False

Correct Answer
B. False
Explanation
In a Stem and Leaf plot, decimals would not go under the Stem. The Stem represents the whole number part of the data, while the Leaf represents the decimal part. Therefore, decimals would be placed to the right of the stem in a Stem and Leaf plot.

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• 33.

### In a dot plot Frequency is

• A.

How to find a radio station

• B.

How often a number occurs in data

• C.

The average

• D.

The range

Correct Answer
B. How often a number occurs in data
Explanation
Frequency in a dot plot refers to how often a number occurs in the given data. In a dot plot, each dot represents a single occurrence of a number, and the number of dots represents the frequency of that number. This helps in visualizing the distribution and identifying any patterns or outliers in the data.

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• Current Version
• Mar 20, 2024
Quiz Edited by
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• May 22, 2014
Quiz Created by
Ms_JG

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