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) 75,75,75,75,75 (b) 67,75,75,75,83 (c)30,75,75,75,120.Next is how do your answers for (a),(b), and (c) compare? Select all that apply. The data in (a) is more spread out than in (b). The data in (b) is more spread out than in (c).The data in (c) is more spread out than in (b). The standard deviation is the same every time because the sum of the data points is always 375. The data in (b) is more spread out than in (a)

Explanation / Answer

(a) mean = 75 and standard deviation = 0

(b) mean = (67+75+75+75+83)/5 = 75

standard deviation = [((67-75)2 + 0 + (83-75)2)/5]1/2

= 5.06

mean = (30+75+75+75+120)/5 = 75

standard deviation = [((30-75)2 + 0 + (30-75)2)/5]1/2

= 28.46

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

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

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.