Statistics Homework

Question

Create a list of 5 data points with a mode of 70, mean of 80, a range of 40, and a midrange of 81?

Answer 1

S + L = 81(2) if 81=Midrange, L=Max, 40=Min=S

Midrange = (S+L)/2 =81

S+L = 2(81) = 162

S=61, L=101

L = 101 = Largest number

S = 61= Smallest number

Mode=70, so two 70's

61, ?, 70,70, ?, 101

mean=80

(61+70+70+101+x)/5 = 80

302 +x = 400

x=400-302= 98

the 5 numbers are

61,70,70,98, 101

which have midrange =81, mode=70, range=40, mean=80