Question

Sav meh pl0x ty fam

Answer 1

Given that the summary of the population is:
Mean: 42 
Median: 38 
Range: 52 
Mean Deviation: 11.23

To obtain the sample that is closest to the mean we shall proceed as follows:
Shift 1:
18,25,56,42,29,38,54,47,35,30
The mean of the sample is:
(18+25+56+42+29+38+54+47+35+30)/10
=374/10
=37.4

Shift 2:
23, 19, 50, 49, 67,34,30,59,40, 33
The mean is:
(23+19+50+49+67+34+30+59+40+33)/10
=404/10
=40.4

Shift 3:
Shift 3
19, 22, 24, 40, 45, 29, 33, 29, 39, 59
The mean of the values
(19+22+24+40+45+29+33+29+39+59)/10
=339/10
=33.9

Shift 4:
21, 23, 25, 40, 35, 19, 70, 40, 22, 23
The mean of the values is:
(21+23+25+40+35+19+70+40+22+23)/10
=318/10
=31.8

From the calculations, the sample that has mean that is close to population mean is Shift 2