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This quiz is to see if you understand the difference between mean, median, mode, and range. Good luck!
Questions and Answers
1.
Describe the differences between mean, median, mode and range.
2.
What is the mean of the following data set? 10, 12, 14, 16, 20
A.
14.4
B.
15
C.
15.2
Correct Answer A. 14.4
Explanation The mean of a data set is calculated by adding up all the values in the set and then dividing the sum by the total number of values. In this case, the sum of the data set is 10 + 12 + 14 + 16 + 20 = 72. Since there are 5 values in the set, the mean is 72/5 = 14.4.
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3.
What is the median of the same set of numbers? 10, 12, 14, 16, 20
A.
16
B.
14
C.
20
Correct Answer B. 14
Explanation The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are already in ascending order. There are 5 numbers in the set, so the middle value is the third number, which is 14. Therefore, 14 is the median of the set.
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4.
What is the mode? 10, 12, 14, 16, 20
A.
None
B.
12
C.
16
Correct Answer A. None
Explanation The given set of numbers does not have a mode because no number appears more than once. In statistics, the mode refers to the value that appears most frequently in a data set. Since all the numbers in the given set appear only once, there is no number that can be considered the mode. Therefore, the correct answer is "none".
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5.
What is range?10, 12, 14, 16, 20
A.
10
B.
20
C.
15
Correct Answer A. 10
Explanation The range is the difference between the highest and lowest values in a set of numbers. In this case, the highest value is 20 and the lowest value is 10. Therefore, the range is 20 - 10 = 10.