/*! 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 109. Which of the following is least ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Which of the following is least affected if an extreme high outlier is added to your data?

(a) Median

(b) Mean

(c) Standard deviation

(d) Range

(e) Maximum

Short Answer

Expert verified

The correct option is (a) Median.

Step by step solution

01

The given information

An extreme high outliner is added to the data.

02

Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

03

Explanation

Outliers don't affect the median, but they do affect the mean. Because the standard deviation is calculated from the mean, it is susceptible to outliers as well. The range would be affected by adding an extreme outlier since the data's dispersion would vary. The maximum value would likewise change, as it would become the new maximum. So, the median is the correct answer.

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 91Ó°ÊÓ!

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

You are preparing to study the television-viewing habits of high school students. Describe two categorical variables and two quantitative variables that you might record for each student. Give the units of measurement for the quantitative variables.

Forty students took a statistics examination having a maximum of 50 points. The score distribution is given in the following stem-and-leaf plot:


The third quartile of the score distribution is equal to (a) 45. (b) 44. (c) 43. (d) 32. (e) 23.

The mean salary of all female workers is \(35,000 The mean salary of all male workers is \)41,000 What must be true about the mean salary of all workers?

(a) It must be \(38,000

(b) It must be larger than the median salary.

(c) It could be any number between \)35,000 and \(41,000

(d) It must be larger than \)38,000

(e) It cannot be larger than $40,000

Cool car colors The most popular colors for cars and light trucks change over time. Silver passed green in 2000 to become the most popular color worldwide, then gave way to shades of white in 2007. Here is the distribution of colors for vehicles sold in North America in 2008

(a) What percent of vehicles had colors other than those listed?

(b) Display these data in a bar graph. Be sure to label your axes and title your graph.

(c) Would it be appropriate to make a pie chart of these data? Explain.

A class survey Here is a small part of the data set that describes the students in an AP Statistics class. The data come from anonymous responses to a questionnaire filled out on the first day of class.

a. What individual does with the data set describe

b. Identification of the quantitative variables

c. describe the individual in a highlighted row

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.