HardMath· Problem-Solving and Data Analysis· One-variable data: Distributions and measures of center and spread· MCQ
Value
Frequency
1
a
2
2a
3
3a
4
2a
5
a
The frequency distribution above summarizes a set of data, where a is a positive integer. How much greater is the mean of the set of data than the median?
A
0
B
1
C
2
D
3
Correct answer: A
Explanation
Choice A is correct. Since the frequencies of values less than the middle value, 3, are the same as the frequencies of the values greater than 3, the set of data has a symmetric distribution. When a set of data has a symmetric distribution, the mean and median values are equal. Therefore, the mean is 0 greater than the median.
Choices B, C, and D are incorrect and may result from misinterpreting the set of data.
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id cb_question_bank:4fb4123a-301e-4e0b-a0f2-c268476fd9ba · question 1142af44 · IBN 029610-DC
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