The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below. $28000 $67000 26000 29000 31000 25000 32000 71000 32000 27000 a) Determine the mean. The mean salary is $ (Simplify your answer.) b) Determine the median. The median salary is $ (Simplify your answer.) c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The mode salary/salaries is/are $ (Use a comma to separate answers, but do not use commas in any individual numbers.) B. There is no mode. d) Determine the midrange. The midrange of the data set is $ (Simplify your answer.) e) If the employees wanted to demonstrate the need for a raise, which average would they use to show they are being underpaid: the mean or the median? Explain. A. The mean because it is higher. B. The median because it is higher. C. The median because it is lower. D. The mean because it is lower. f) If the management did not want to give the employees a raise, which average would they use: the mean or the median? Explain. A. The mean because it is higher. B. The median because it is higher. C. The median because it is lower. D. The mean because it is lower.

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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The salaries of 10 employees of a small company are listed. Complete parts (a) through (f) below.	$28000	$67000
26000	29000
31000	25000
32000	71000
32000	27000

a) Determine the mean.

The mean salary is

(Simplify your answer.)

b) Determine the median.

The median salary is

(Simplify your answer.)

c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box within your choice.

The mode salary/salaries is/are

(Use a comma to separate answers, but do not use commas in any individual numbers.)

There is no mode.

d) Determine the midrange.

The midrange of the data set is

(Simplify your answer.)

e) If the employees wanted to demonstrate the need for a raise, which average would they use to show they are being underpaid: the mean or the median? Explain.

The mean because it is higher.

The median because it is higher.

The median because it is lower.

The mean because it is lower.

f) If the management did not want to give the employees a raise, which average would they use: the mean or the median? Explain.

The mean because it is higher.

The median because it is higher.

The median because it is lower.

The mean because it is lower.

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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