Consider the data set 3, 3, 3, 3, 3, 3. a. Guess the value of the sample standard deviation without calculating it. Explain your reasoning. b. Use the defining formula to calculate the sample standard deviation. c. Complete the following statement and explain your reasoning: If all observations in a data set are equal, the sample standard deviation is _______. d. Complete the following statement and explain your reasoning: If the sample standard deviation of a data set is 0, then . . . .

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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Consider the data set 3, 3, 3, 3, 3, 3.

a. Guess the value of the sample standard deviation without calculating it. Explain your reasoning.

b. Use the defining formula to calculate the sample standard deviation.

c. Complete the following statement and explain your reasoning: If all observations in a data set are equal, the sample standard deviation is _______.

d. Complete the following statement and explain your reasoning: If the sample standard deviation of a data set is 0, then . . . .

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