Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q. 63 (page 137)

Describe the relationship between the mean and the median of this distribution.

Short Answer

Expert verified

Mean=6is equal to median=6.

Step by step solution

01

Content Introduction

The mean is less than the median, which is frequently less than the mode, if the data distribution is skewed to the left. The median = the mean if the data distribution is symmetric.

02

Content Explanation

The mean is calculated using the below formula:

Mean=∑fxN

Mean=9015Mean=6

The median is calculated using the below formula:

Median=sizeofN+12thterm

Median=(15+12)Median=8Cumulativefrequencyis8thwhichliesinx=6

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

To construct the histogram for the data in Table 2.42, determine appropriate minimum and maximum x and y values and the scaling. Sketch the histogram. Label the horizontal and vertical axes with words. Include numerical scaling.

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $1700in damage and was in the 90th percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the 90th percentile in the context of this problem.

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.
Second quartile = median = 50thpercentile = _______

Describe the shape of this distribution.

For the following 11salaries, calculate the IQR and determine if any salaries are outliers. The salaries are in

dollars.
role="math" localid="1647875427889" \(33,000;\)64,500;\(28,000;\)54,000;\(72,000;\)68,500;\(69,000;\)42,000;\(54,000;\)120,000;$40,500
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Calculus

Read Explanation
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.

Sign-up for free