Sav meh pl0x ty fam mean: 42 median: 38 range: 52 mean deviation: 11.23 shift 1 18 25 56 42 29 38 54 47 35 30 shift 2 23 19 50 49 67 34 30 59 40 33 shift 3 19 22 24 40 45 29 33 29 39 59 shift 4 21 23 25 40 35 19 70 40 22 23 the summary statistics for all of the workers at a steel factory are shown. four sample groups were taken from each of the four shifts. for which sample group is the mean closest to the population mean? a) shift 1 b) shift 2 c) shift 3 d) shift 4

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

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