Question

use the following distribution to complete parts (a) through (d) below.

1, 4, 7, 12, 11

a) compute the mean and standard deviation of the distribution.

the mean is 7.

the standard deviation is 4.64.
(round to the nearest hundredth as needed.)

b) multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution.

the mean is

Explanation:

Calculate the new distribution

Using the Linear Transformations of Data knowledge point

$$
LATEXBLOCK0
$$

Compute the new mean

Using the Mean Calculation knowledge point

$$
LATEXBLOCK1
$$

Answer:

Multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution.

The mean is <blank>21</blank>.