Steel Factory Workers Ages
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
b?
sorry, not going to plod through this
for each group add and divide by number in group
for total add them all and divide by the total number in all four groups
To determine which sample group has the mean closest to the population mean, you need to compare the mean of each sample group with the population mean. The population mean is given as 42.
Now, let's calculate the mean for each sample group:
Shift 1: Mean = (18 + 25 + 56 + 42 + 29 + 38 + 54 + 47 + 35 + 30) / 10 = 36.4
Shift 2: Mean = (23 + 19 + 50 + 49 + 67 + 34 + 30 + 59 + 40 + 33) / 10 = 41.4
Shift 3: Mean = (19 + 22 + 24 + 40 + 45 + 29 + 33 + 29 + 39 + 59) / 10 = 35.9
Shift 4: Mean = (21 + 23 + 25 + 40 + 35 + 19 + 70 + 40 + 22 + 23) / 10 = 31.8
Comparing the means with the population mean, we find that the mean of Shift 2 (41.4) is the closest to the population mean (42).
Therefore, the correct answer is B) Shift 2.