Question 481639
We start with 70 and 100


Mode is 85, so we need at least 2 85s.
70, 85, 85, 100


Median is 85, so we’re on the right track
By letting N equal 5th number, and since mean is 74, then {{{(70 + 85 + 85 + 100 + N)/5 = 74}}}

{{{(340 + N)/5 = 74}}}
340 + N = 370
N = 370 – 340 = 30

Therefore, the 5 numbers are 30, 70, 85, 85, and 100. 


As seen, the median is 85, and the mode is also 85, and the mean is {{{highlight_green(74)}}} (370/5).