Given the sample data. (a) Find the range. (b) Verify that ? x = 136 and ? x 2 =

Question

Given the sample data.

(a) Find the range.


(b) Verify that ?x = 136 and ?x2 = 3774.

(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.)

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

(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.)

Explanation / Answer

> x<-c(30,22,31,30,23)
> range(x);sum(x);sum(x^2);var(x);sd(x);
[1] 22 31
[1] 136
[1] 3774
[1] 18.7
[1] 4.32435
>

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