Answered: Part 1 (a) Determine the mean,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Part 1

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

The mean salary is

enter your response here

thousand dollars. (Type an integer or a decimal.)

Part 2

The median salary is

enter your response here

thousand dollars. (Type an integer or a decimal.)

Part 3

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

The mode salary is

enter your response here

thousand dollars.

(Type an integer or a decimal. Use a comma to separate answers as needed.)

There is no mode.

Part 4

(b) Business has been good! As a result, Benjamin has a total of $25,000 in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself) $2,500. Add the bonuses under this 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.

(Type an integer or a decimal.)

Part 5

The median salary for a new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal.)

Part 6

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

The mode salary for the new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal. Use a comma to separate answers as needed.)

There is no mode.

Part 7

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

The mean increased by $2,500, but the median and the mode did not change.

All three measures increased by $2,500.

All three measures increased by 10%.

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.

(Type an integer or a decimal.)

Part 9

The median salary for the new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal.)

Part 10

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

The mode salary for the new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal. Use a comma to separate answers as needed.)

There is no mode.

Part 11

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

The mean, median, and mode did not change.

The mean increased by $2,500, but the median and the mode did not change.

All three measures increased by 5%.

The mean increased by 10%, but the median and the 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 $25,000 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.

(Type an integer or a decimal.)

Part 13

The median salary for the new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal.)

Part 14

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

The mode salary for the new data set is

enter your response here

thousand dollars.

(Type an integer or a decimal. Use a comma to separate answers as needed.)

There is no mode.

Part 15

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

All three measures increased by $2,500.

All three measures increased by 10%.

The mean increased by $2,500, but the median and the mode did not change.

The mean, median, and mode did not change.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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