PRACTICE OF STATISTICS F/AP EXAM
PRACTICE OF STATISTICS F/AP EXAM
6th Edition
ISBN: 9781319113339
Author: Starnes
Publisher: MAC HIGHER
bartleby

Videos

Question
Book Icon
Chapter 4, Problem AP1.8CPT
To determine

To select the best option from the multiple choice question according to the given question.

Expert Solution & Answer
Check Mark

Answer to Problem AP1.8CPT

Option (e) is correct.

Explanation of Solution

Given IQ scores:

  145,139,126,122,125,130,96,110,118,118

For option (a), order the data values from smallest to largest:

  96,110,118,118,122,125,126,130,139,145

The median is the middle value of the data. And since the number of data is even then:

  M=Q2=122+1252=2472=123.5

The first quartile is the median of the data values below the median i.e.

  Q1=118

The third quartile is the median of the data values above the median i.e.

  Q3=130

Now, the interquartile range will be:

  IQR=Q3Q1=130118=12

Outliers are observations that are more than 1.5 times the IQR above Q3 or below Q1.

  Q3+1.5IQR=130+1.5(12)=148Q11.5IQR=1181.5(12)=100

Since 96 lies below 100 , 96 is considered an outlier by the 1.5 times interquartile range and thus the option (a) is true.

For option(b), the five summary consists of the minimum, first quartile, median, third quartile and the maximum, which are all the same thus the option (b) is true.

For option (c), 96 is the smallest value in the data set. We then expect the mean to increase if 96 is removed from the data set, as the centre of the data will become higher when the minimum is removed and thus, option (c) is true.

For option (d), the standard deviation measures the amount of variation or the spread of the data set. 96 is the smallest value in the data set. We then expect the standard deviation to increase if 96 is removed from the data set, as the spreaddecrease when the minimum is removed and thus, option (d) is true.

For option (e), 96 is the smallest value in the data set and from part (a) we know that 96 is an outlier. We then expect the IQR to not be affected if 96 is removed from the data as the IQR should not be influenced by the outlier and thus option (e) is not true.

Thus, we will select the option (e) as correct answer.

Chapter 4 Solutions

PRACTICE OF STATISTICS F/AP EXAM

Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Prob. 70ECh. 4.2 - Prob. 71ECh. 4.2 - Prob. 72ECh. 4.2 - Prob. 73ECh. 4.2 - Prob. 74ECh. 4.2 - Prob. 75ECh. 4.2 - Prob. 76ECh. 4.2 - Prob. 77ECh. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.2 - Prob. 87ECh. 4.2 - Prob. 88ECh. 4.2 - Prob. 89ECh. 4.2 - Prob. 90ECh. 4.2 - Prob. 91ECh. 4.2 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Prob. 100ECh. 4.3 - Prob. 101ECh. 4.3 - Prob. 102ECh. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.3 - Prob. 107ECh. 4.3 - Prob. 108ECh. 4.3 - Prob. 109ECh. 4.3 - Prob. 110ECh. 4.3 - Prob. 111ECh. 4.3 - Prob. 112ECh. 4.3 - Prob. 113ECh. 4.3 - Prob. 114ECh. 4.3 - Prob. 115ECh. 4.3 - Prob. 116ECh. 4.3 - Prob. 117ECh. 4.3 - Prob. 118ECh. 4.3 - Prob. 119ECh. 4.3 - Prob. 120ECh. 4 - Prob. R4.1RECh. 4 - Prob. R4.2RECh. 4 - Prob. R4.3RECh. 4 - Prob. R4.4RECh. 4 - Prob. R4.5RECh. 4 - Prob. R4.6RECh. 4 - Prob. R4.7RECh. 4 - Prob. R4.8RECh. 4 - Prob. R4.9RECh. 4 - Prob. R4.10RECh. 4 - Prob. T4.1SPTCh. 4 - Prob. T4.2SPTCh. 4 - Prob. T4.3SPTCh. 4 - Prob. T4.4SPTCh. 4 - Prob. T4.5SPTCh. 4 - Prob. T4.6SPTCh. 4 - Prob. T4.7SPTCh. 4 - Prob. T4.8SPTCh. 4 - Prob. T4.9SPTCh. 4 - Prob. T4.10SPTCh. 4 - Prob. T4.11SPTCh. 4 - Prob. T4.12SPTCh. 4 - Prob. T4.13SPTCh. 4 - Prob. T4.14SPTCh. 4 - Prob. AP1.1CPTCh. 4 - Prob. AP1.2CPTCh. 4 - Prob. AP1.3CPTCh. 4 - Prob. AP1.4CPTCh. 4 - Prob. AP1.5CPTCh. 4 - Prob. AP1.6CPTCh. 4 - Prob. AP1.7CPTCh. 4 - Prob. AP1.8CPTCh. 4 - Prob. AP1.9CPTCh. 4 - Prob. AP1.10CPTCh. 4 - Prob. AP1.11CPTCh. 4 - Prob. AP1.12CPTCh. 4 - Prob. AP1.13CPTCh. 4 - Prob. AP1.14CPTCh. 4 - Prob. AP1.15CPTCh. 4 - Prob. AP1.16CPTCh. 4 - Prob. AP1.17CPTCh. 4 - Prob. AP1.18CPT
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License