Question

In: Statistics and Probability

Given the sample data. x: 21 17 13 30 25 (a) Find the range. (b) Verify...

Given the sample data.

x:

21

17

13

30

25

(a) Find the range.

(b) Verify that Σx = 106 and Σx² = 2,424.

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	=

Consider the data set.

2, 3, 4, 7, 8

(a) Find the range.

(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)

(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)

Expert Solution

Solution:

Given the sample data.

x:

21

17

13

30

25

(a) Find the range.

(b) Verify that Σx = 106 and Σx² = 2,424.

(c) Use the results of part (b) and appropriate computation formulas to compute the sample variance s² and sample standard deviation s.

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

(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.)

Answer:

Consider the data set.

2, 3, 4, 7, 8

(a) Find the range.

(b) Use the defining formula to compute the sample standard deviation s. (Round your answer to two decimal places.)

(c) Use the defining formula to compute the population standard deviation σ. (Round your answer to two decimal places.)

orchestra answered 2 years ago

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