If the mean median, and mode are all computed for a distribution of scores, which of the following statements cannot be true? A. No one had a score equal to the mode B. No one had a score equal to the mean C. No one had a score equal to the median D. All of the other three statements cannot be true

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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If the mean median, and mode are all computed for a distribution of scores, which of the following statements cannot be true?

A. No one had a score equal to the mode

B. No one had a score equal to the mean

C. No one had a score equal to the median

D. All of the other three statements cannot be true 

Expert Solution
Step 1

Mean:

Mean represents the average of the sample.

That is,

M=∑X/n

Median:

Arrange the individual scores in ascending order and check if N is even or odd.

N is even: Median is the average of middle two scores.

N is odd: Median is the middle value

Mode:

The score or category that has the greatest frequency is said to be mode.

 

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