Question

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".

Answer 1

Answer:

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