Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given below in thousands of dollars (Benjamin's salary is the largest, of course). Complete parts (a) through (d) below.

10

,

35

,

45

,

50

,

50

,

50

,

55

,

55

,

60

,

80

Question content area bottom

Part 1

(a) Determine the mean, median, and mode for salary.

The mean salary is

enter your response here

thousand dollars.

(use a integer or a decimal. Do not round.)

Part 2

The median salary is

enter your response here

thousand dollars.

(use a integer or a decimal. Do not round.)

Part 3

Select the correct choice below and fill in any answer boxes in your choice.

A.

The mode salary is

enter your response here

thousand dollars.

(use a integer or a decimal. Do not round. Use a comma to separate answers as needed.)

B.

There is no mode.

Part 4

(b) Business has been good! As a result, Benjamin has a total of

$24 comma 500

in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself)

$2 comma 450

.

Add the bonuses under this plan to the original salaries to make a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?

The mean for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 5

The median salary for a new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 6

Select the correct choice below and fill in any answer boxes in your choice.

A.

The mode salary for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round. Use a comma to separate answers as needed.)

B.

There is no mode.

Part 7

How do the mean, median, and mode compare to the originals?

A.

All three measures increased by 10%.

B.

The mean increased by

$2 comma 450

,

but the median and the mode did not change.

C.

All three measures increased by

$2 comma 450

.

D.

The mean, median, and mode did not change.

Part 8

(c) As a second option, Benjamin can give each employee a bonus of 5% of his or her original salary. Add the bonuses under this second plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?

The mean for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 9

The median salary for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 10

Select the correct choice below and fill in any answer boxes in your choice.

A.

The mode salary for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round. Use a comma to separate answers as needed.)

B.

There is no mode.

Part 11

How do the mean, median, and mode compare to the originals?

A.

The mean increased by 10%, but the median and the mode did not change.

B.

The mean increased by

$2 comma 450

,

but the median and the mode did not change.

C.

All three measures increased by 5%.

D.

The mean, median, and mode did not change.

Part 12

(d) As a third option, Benjamin decides not to give his employees a bonus at all. Instead, he keeps the

$24 comma 500

for himself. Use this plan to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals?

The mean for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 13

The median salary for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round.)

Part 14

Select the correct choice below and fill in any answer boxes in your choice.

A.

The mode salary for the new data set is

enter your response here

thousand dollars.

(Use a integer or a decimal. Do not round. Use a comma to separate answers as needed.)

B.

There is no mode.

Part 15

How do the mean, median, and mode compare to the originals?

A.

All three measures increased by 10%.

B.

All three measures increased by $2,500.

C.

The mean increased by

$2 comma 450

,

but the median and the mode did not change.

D.

The mean, median, and mode did not change.