/*! 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. 67 Of the three measures, which ten... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 67 (page 137)

Of the three measures, which tends to reflect skewing the most, the mean, the mode, or the median? Why?

Short Answer

Expert verified

The outliers have the greatest impact on the mean, therefore mean tends to reflects skewing the most.

Step by step solution

01

Introduction

The Mean of the data is calculated by adding all numbers in the data set and then dividing by the number of values in the set.

The Median is the mid value of a data set and it is calculated by arranging the data set in ascending order (i.e., least to greatest).

The Mode is the most frequent number occurring in the data set.

02

Explanation

The mean is generally less than the median, which is frequently less than the mode if the data distribution is tilted to the left.

The mode is generally less than the median, which is less than the mean when the data distribution is skewed to the right.

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

Use the following information to answer the next three exercises: State whether the data are symmetrical, skewed to the left, or skewed to the right.

1;1;1;2;2;2;2;3;3;3;3;3;3;3;3;4;4;4;5;5

The following data show the number of months patients typically wait on a transplant list before getting surgery.

The data are ordered from smallest to largest. Calculate the mean and median.

3;4;5;7;7;7;7;8;8;9;9;10;10;10;10;10;11;12;12;13;14;14;15;15;17;17;18;19;19;19;21;21;22;22;23;24;24;24;24

The most obese countries in the world have obesity rates that range from 11.4% to 74.6%. This data is summarized in the following table.

a. What is the best estimate of the average obesity percentage for these countries?

b. The United States has an average obesity rate of 33.9%. Is this rate above average or below?

c. How does the United States compare to other countries?

Use the following information to answer the next nine exercises: The population parameters below describe the full-time equivalent number of students (FTES) each year at Lake Tahoe Community College from 1976鈥�1977 through 2004鈥�2005.

鈥� 渭 = 1000 FTES

鈥� median = 1,014 FTES

鈥� 蟽 = 474 FTES

鈥� first quartile = 528.5 FTES

鈥� third quartile = 1,447.5 FTES

鈥� n = 29 years

What additional information is needed to construct a box plot for the FTES for 2005-2006 through 2010-2011 and a box plot for the FTES for 1976-1977 through 2004-2005?

Construct a frequency polygon for the following:

a.

b.

c.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

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.