Question

Select the correct answer.

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.
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

C.

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

is a true statement .

Answer:

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.

The mean of data set X is greater than the mean of data set Y.False

B.

The median of data set X is less than the median of data set Y.False

C.

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

D.

The range of data set X is less than the range of data set Y.False

E.

The mode of data set X is greater than the mode of data set Y.False

Answer 2

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

Explanation:

A. The mean of data set X is greater than the mean of data set Y.

• FALSE, there is no indication its true as per given statement.

B. The median of data set X is less than the median of data set Y.

• FALSE, there is no indication its true as per given statement.

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

• TRUE, the greater the spread the greater the standard deviation.

D. The range of data set X is less than the range of data set Y.

• FALSE, the range of X would be greater with a greater spread.

E. The mode of data set X is greater than the mode of data set Y

• FALSE, there is no indication its true as per given statement.