Given the sample data. x: 17 31 25 28 22 (a) Find the range. (b) Verify that ?x

Question

Given the sample data.

x:

17

31

25

28

22

(a) Find the range.

(b) Verify that ?x = 123 and ?x2 = 3143.

?x

?x2

(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s2 and sample standard deviation s. (Enter your answers to one decimal place.)

s2

s

(d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (Enter your answers to one decimal place.)

s2

s

(e) Suppose the given data comprise the entire population of all x values. Compute the population variance ?2 and population standard deviation ?. (Enter your answers to one decimal place.)

?2

?

Explanation / Answer

a) range=31-17=14

b) summation x=17+31+25+28+22=123

summation x^2=(123)^2=15129

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