Question

The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed. Which statement is true?. a. A. . . The mean of data set X is greater than the mean of data set Y. . . . . B. . The median of data set X is less than the median of data set Y.. . . . . C. . The standard deviation of data set X is greater than the standard deviation of data set Y.. . . . . D. . The range of data set X is less than the range of data set Y.. . . . . E. . The mode of data set X is greater than the mode of data set Y

Answer 1

Answer: C. . The standard deviation of data set X is greater than the standard deviation of data set Y.

Explanation:

We know that the greater spread out a data distribution has greater standard deviation.

Given: The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed.

Then , The standard deviation of data set X is greater than the standard deviation of data set Y.

Answer 2

Given the statements: "The spread of data set X is greater than the spread of data set Y, and the data sets are normally distributed." The choice with the best answer would be

C. The standard deviation of data set X is greater than the standard deviation of data set Y.

This is because the standard deviation is larger when the set is more spread out.