Question

Think of 5 positive integers that have a mean, median, mode, and range of 6.

Answer 1

Given : 5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.

To Find :  numbers

Solution:

5 integers in order

A , B , C , D , E

Median is C  =  5  

Mode is 2 Hence A and B = 2

Range is 10

Hence E - A = 10

=> E - 2 = 10

=> E = 12

2  , 2   , 5  , D  , 12

Mean = 6  Hence sum = 5 x 6 = 30

=> 2 + 2 + 5 + D + 12 = 30

=> 21 + D = 30

=>. D = 9

Hence 5 numbers are

2 , 2 , 5 ,  9 , 12

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