Find the mean and sample standard deviation of each set of data. (Round the stan

Question

Find the mean and sample standard deviation of each set of data. (Round the standard deviation to one decimal place.)

(a)    80  80  80  80  80

(b)    74  80  80  80  86

(c)    37  80  80  80  123

(d) How do your answers for (a), (b), and (c) compare? Select all that apply.
The mean is the same every time because the sum of the data points is always 400.The data in (a) is more spread out than in (b).The data in (b) is more spread out than in (a).The data in (b) is more spread out than in (c).The standard deviation is the same every time because the sum of the data points is always 400.The data in (c) is more spread out than in (b).

Explanation / Answer

a) mean = 80

standard deviation =0

b) mean = 80

standard deviation = [((74-80)2 + (86-80)2)/5]1/2 = 3.795

c) mean = 80

standard deviation = [((37-80)2 + (123-80)2)/5]1/2 = 27.196

d) The mean is the same every time because the sum of the data points is always 400

The data in (b) is more spread out than in (a)

The data in (c) is more spread out than in (b)

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