Consider the data set. 2, 5, 6, 7, 9 (a) find the range. 7 correct: your answer is correct. (b) use the defining formula to compute the sample standard deviation s. (round your answer to two decimal places.) 2.7 incorrect: your answer is incorrect. (c) use the defining formula to compute the population standard deviation σ. (round your answer to two decimal places.) -6.23 incorrect: your answer is incorrect.

A) 7

B) 2.588

C) 2.3151

Step-by-step explanation:

We are given the following data set:

2, 5, 6, 7, 9

Formula:

Mean =

a) Range

= Highest value - Lowest Value = 9 - 2 = 7

b) Sample standard deviation

where are data points, is the mean and n is the number of observations.

Sum of squares = 14.44 + 0.64 + 0.04 + 1.44 + 10.24 = 26.8

c) Population standard deviation

where are data points, is the mean and n is the number of observations.

Sum of squares = 14.44 + 0.64 + 0.04 + 1.44 + 10.24 = 26.8

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