A set of five integers contains 1, 3, and 22. what other two integers must be included in this set so that the mean of all five integers is 16 and the median is 13? the larger of these two numbers is, and the smaller of them is.

Question

Mathematics

Poole

16 July, 09:03

A set of five integers contains 1, 3, and 22. what other two integers must be included in this set so that the mean of all five integers is 16 and the median is 13? the larger of these two numbers is, and the smaller of them is.

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Answers (1)

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Jaquan Miles · Answer 1

Total number of integers = 5

median

= (5+1) / 2 th observation

= 3 rd observation

therefore the 3rd number = 13

now let the other number be x

total sum = 1+3+13+x+22 = 39+x

ATQ

(39+x) / 5 = 16

39+x = 80

x = 41

the numbers are -

1,3,13,22,41