/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 94. Mean salary? Last year a small a... [FREE SOLUTION] | 91影视

91影视

Mean salary? Last year a small accounting firm paid each of its five clerks \(32,000, two junior accountants \)60,000 each, and the firm鈥檚 owner $280,000.

(a) What is the mean salary paid at this firm? How many of the employees earn less than the mean? What is the median salary?

(b) Write a sentence to describe how an unethical recruiter could use statistics to mislead prospective employees.

Short Answer

Expert verified

Part (a) Mean is $70,000 and Median is $32,000

All employees earn less than the mean salary.

Part (b) By using mean.

Step by step solution

01

Part (a) Step 1. Given information.

The given data is:

32000, 32000, 32000, 32000, 32000, 60000, 60000, 280000

n=8

02

Part (a) Step 2. Find the mean salary paid at this firm.

Mean is:

x=i=1nxin=32000+32000+32000+32000+32000+60000+60000+2800008=5600008=70000

All employees of the firm earn less than the mean salary of $70,000 except the owner.

03

Part (a) Step 3. Find the median salary.

32000, 32000, 32000, 32000, 32000, 60000, 60000, 280000

As we know that median is the middle value of a data set. As the given set is even, the median will be the average of two middle values (4th and 5th) of this sorted data:

M=32000+320002=32000

The median salary is $32,000.

04

Part (b) Explanation.

As we have observed that all employees in the organization make less than the mean, an unethical recruiter might use the mean to deceive prospective recruits, and so the prospective employees will have no possibility of making that much money with this company.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Ranking colleges Popular magazines rank colleges and universities on their 鈥渁cademic quality鈥 in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might record for each institution.

Where do the young live? Here is a stemplot of the percent of residents aged 25 to 34 in each of the 50 states:

Part (a). Why did we split stems?

Part (b). Give an appropriate ate key for this stemplot.

Part (c). Describe the shape of the distribution. Are there any outliers?

Die rolls Imagine rolling a fair, six-sided die 60 times. Draw a plausible graph of the distribution of die rolls. Should you use a bar graph or a histogram to display the data?

Pulse rates Refer to Exercise 88.

(a) Find the range of the pulse rates for all 19 students and the range of the pulse rates excluding the student with the medical issue.

(b) Explain what part (a) suggests about using the range as a measure of variability for a distribution of quantitative data.

Protecting woodWhat measures can be taken, especially when restoring historic wooden buildings, to help wood surfaces resist weathering? In a study of this question, researchers prepared wooden panels and then exposed them to the weather. Some of the variables recorded were type of wood (yellow poplar, pine, cedar); type of water repellent (solvent based, water-based); paint thickness (millimeters); paint color (white, gray, light blue); weathering time (months). Classify each variable as categorical or quantitative.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.