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

Solution: We are given the population mean

Now, in order to find which shift's mean is closest to population mean, we will find the mean of each shift.

The mean of shift 1 is:

The mean of shift 2 is:

The mean of shift 3 is:

The mean of shift 4 is:

We clearly see the mean of shift 2 is close to the population mean. Hence the option B) Shift 2 is correct.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10