Question

In: Statistics and Probability

Given the sample data. x: 21 19 15 30 27 (a) Find the range. Range =...

Given the sample data.

x: 21 19 15 30 27

(a) Find the range.

Range = 15

(b) Verify that Σx = 112 and Σx2 = 2,656.

Σx =
Σx2 =



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

s2 =
s =



(d) Use the defining formulas to compute the sample variance s2 and sample standard deviation s. (Round your answers to two decimal places.)

s2 =
s =



(e) Suppose the given data comprise the entire population of all x values. Compute the population variance σ2 and population standard deviation σ. (Round your answers to two decimal places.)

σ2 =
σ =

Solutions

Expert Solution

21 441
19 361
15 225
30 900
27 729

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21 -1.40 1.96
19 -3.40 11.56
15 -7.40 54.76
30 7.60 57.76
27 4.60 21.16

--------------------------------------------------------------------------------------------------------------------

21 -1.40 1.96
19 -3.40 11.56
15 -7.40 54.76
30 7.60 57.76
27 4.60 21.16


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