/*! 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. 3.149 Identify an advantage that the m... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 3.149 (page 136)

Identify an advantage that the median and interquartile range have over the mean and standard deviation, respectively.

Short Answer

Expert verified

The advantage is that median and interquartile range are resistant to outliers.

Step by step solution

01

Given Information

We have to find out the advantage of median and interquartile range over the mean and standard deviation.

02

Explanation

Firstly, take an example that you have20students with their weight but one of the child weight is considered wrong it was taken 99but it was just 39then mean will have a huge difference but median will be same which shows that median is not changed by outliers.

The standard deviation is more changed by outliers as it is the square of differences between sample values and mean but the interquartile range is not changed because like median it does not take extreme values.

Hence, the advantage of the median and interquartile range over the mean and standard deviation is that they are not changed by outliers.

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

Regarding the five-number summary:
a. Identify its components.
b. How can it be employed to describe center and variation?
c. What graphical display is based on it?

Dallas Mavericks. From the ESPN website, in the Dallas Mavericks Roster, we obtained the following ages, in years, for the players on that basketball team for the 2013-2014season.

Obtain the following parameters for these ages. Use the appropriate mathematical notation for the parameters to express your answers.

a. Mean

b. Standard deviation

c. Median

d. Mode

e. IQR

In each Exercises 3.82-3.90, use the technology of your choice to determine and interpret the range and sample standard deviation for those data sets to which those concepts apply. If those concepts don't apply, explain why. Note: If an exercise contains more than one data set, perform the aforementioned tasks for each data set.

Ballot Preferences. In Issue 338 of the Amstat News, then president of the American Statistical Association, F. Scheuren reported the results of a survey on how members would prefer to receive ballots in annual elections. On the WeissStats site, you will find data for preference and highest degree obtained for the 566 respondents.

Suppose you buy a new car whose advertised mileage is 25 miles per gallon (mpg). After driving your car for several months, you find that its mileage is 21.4mpg. You telephone the manufacturer and learn that the standard deviation of gas mileages for all cars of the model you bought is 1.15 mpg.

Part (a): Find the z-score for the gas mileage of your car, assuming the advertised claim is correct.

Part (b): Does it appear that your car is getting unusually low gas mileage?

Specify the mathematical symbol used for each of the following descriptive measures. a. Sample mean b. Sample standard deviation c. Population mean d. Population standard deviation.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Statistics

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.