Q:10 Which of the following is a true statement? (A) If the mean and median of a set are equal, then the variance is zero. (B) If a set has variance zero, then the mean, median, and standard deviation are equal. (C) If the population mean and median are equal, then this will also be true for any sample that is randomly selected from the population. (D) If the population has variance zero, then the variance of any sample is also zero. (E) If the variance of a randomly selected sample is zero, then the population mean and median are equal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Q:10
Which of the following is a true statement?
(A) If the mean and median of a set are equal, then the variance is
zero.
(B) If a set has variance zero, then the mean, median, and standard
deviation are equal.
(C) If the population mean and median are equal, then this will also
be true for any sample that is randomly selected from the
population.
(D) If the population has variance zero, then the variance of any
sample is also zero.
(E) If the variance of a randomly selected sample is zero, then the
population mean and median are equal.
Transcribed Image Text:Q:10 Which of the following is a true statement? (A) If the mean and median of a set are equal, then the variance is zero. (B) If a set has variance zero, then the mean, median, and standard deviation are equal. (C) If the population mean and median are equal, then this will also be true for any sample that is randomly selected from the population. (D) If the population has variance zero, then the variance of any sample is also zero. (E) If the variance of a randomly selected sample is zero, then the population mean and median are equal.
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