Construct a sample (with at least two different values in the set) of 4 measurements whose mean, median, and mode are equal. If this is not possible, indicate "Cannot create sample".

The mean, median, and mode are summary statistics, used to describe a set of dataset

A set of numbers having at least two different values and 4 measurements is the set 6, 15, 15, 24

The reason why the above set is selected is as follows:

The mean, median, and mode are measures of central tendencies

An example of a set of 4 measurements that have the same value for the three measures of central tendency is the set and having at least two different values is the set; 6, 15, 15, 24

The process of formulating a set having the above characteristics is by ensuring that the sum of the two numbers which are not the same is equal to the sum of the other two numbers that are equal

Learn more about measures of central tendency here

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The first set 4 , 6 , 6 , 8

The second set 2 , 6 , 6 , 10

Step-by-step explanation:

Mean is the average of the values in a set. This can be found by summing all the numbers and dividing by the total number. The median is the middle number when the values are listed in order of increasing size. The mode is the number(s) that appear the most often in the set.

The first set 4 , 6 , 6 , 8

mean = (4 + 6 + 6 + 8 )/4 = 6

median = (6+6)/2 = 6

Mode = 6

The second set 2 , 6 , 6 , 10

mean = (2 + 6 + 6 + 10)/4 = 6

median = (6+6)/2 = 6

Mode = 6