Pre-Algebra, Student Edition
Pre-Algebra, Student Edition
1st Edition
ISBN: 9780078885150
Author: McGraw-Hill
Publisher: Glencoe/McGraw-Hill
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Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…
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Question
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Chapter 13.1, Problem 20HP
To determine

Whether a data set can have more than one mode.

Expert Solution & Answer
Check Mark

Answer to Problem 20HP

A dataset will have only one unique median.

Explanation of Solution

Mode is the most frequent observation in the dataset. So there are more than one set of similar values whose frequencies are same then yes there can be multiple mode in data.

Let’s consider the below dataset:

1, 1, 1, 3, 3, 3, 5, 8

In the data 1 and 3 both have the three occurrences, so both can be considered as mode.

Median is the middle value of the data when it is arranged in ascending order.

In case of odd number of observation middle value of the data will be median. Otherwise for even number of observations mean of middle value will be the media.

Therefore a dataset will have only one unique median.

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Chapter 13.1, Problem 19HP
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Chapter 13.1, Problem 21HP

Chapter 13 Solutions

Pre-Algebra, Student Edition

Ch. 13.1 - Prob. 1CYPCh. 13.1 - Prob. 2CYPCh. 13.1 - Prob. 3CYPCh. 13.1 - Prob. 4CYPCh. 13.1 - Prob. 1CYUCh. 13.1 - Prob. 2CYUCh. 13.1 - Prob. 3CYUCh. 13.1 - Prob. 4CYUCh. 13.1 - Prob. 5CYUCh. 13.1 - Prob. 6PPS
Ch. 13.1 - Prob. 7PPSCh. 13.1 - Prob. 8PPSCh. 13.1 - Prob. 9PPSCh. 13.1 - Prob. 10PPSCh. 13.1 - Prob. 11PPSCh. 13.1 - Prob. 12PPSCh. 13.1 - Prob. 13PPSCh. 13.1 - Prob. 14PPSCh. 13.1 - Prob. 15PPSCh. 13.1 - Prob. 16HPCh. 13.1 - Prob. 17HPCh. 13.1 - Prob. 18HPCh. 13.1 - Prob. 19HPCh. 13.1 - Prob. 20HPCh. 13.1 - Prob. 21HPCh. 13.1 - Prob. 22STPCh. 13.1 - Prob. 23STPCh. 13.1 - Prob. 24STPCh. 13.1 - Prob. 25STPCh. 13.1 - Prob. 26SRCh. 13.1 - Prob. 27SRCh. 13.1 - Prob. 28SRCh. 13.1 - Prob. 29SCh. 13.2 - Prob. 1CYPCh. 13.2 - Prob. 2ACYPCh. 13.2 - Prob. 2BCYPCh. 13.2 - Prob. 3ACYPCh. 13.2 - Prob. 3BCYPCh. 13.2 - Prob. 1CYUCh. 13.2 - Prob. 2CYUCh. 13.2 - Prob. 3CYUCh. 13.2 - Prob. 4CYUCh. 13.2 - Prob. 5PPSCh. 13.2 - Prob. 6PPSCh. 13.2 - Prob. 7PPSCh. 13.2 - Prob. 8PPSCh. 13.2 - Prob. 9PPSCh. 13.2 - Prob. 10PPSCh. 13.2 - Prob. 11PPSCh. 13.2 - Prob. 12PPSCh. 13.2 - Prob. 13PPSCh. 13.2 - Prob. 14PPSCh. 13.2 - Prob. 15PPSCh. 13.2 - Prob. 16PPSCh. 13.2 - Prob. 17HPCh. 13.2 - Prob. 18HPCh. 13.2 - Prob. 19HPCh. 13.2 - Prob. 20HPCh. 13.2 - Prob. 21HPCh. 13.2 - Prob. 22STPCh. 13.2 - Prob. 23STPCh. 13.2 - Prob. 24STPCh. 13.2 - Prob. 25STPCh. 13.2 - Prob. 26SRCh. 13.2 - Prob. 27SRCh. 13.2 - Prob. 28SRCh. 13.2 - Prob. 29SRCh. 13.2 - Prob. 30SCh. 13.2 - Prob. 31SCh. 13.2 - Prob. 32SCh. 13.2 - Prob. 33SCh. 13.3 - Prob. 1ACYPCh. 13.3 - Prob. 1BCYPCh. 13.3 - Prob. 2CYPCh. 13.3 - Prob. 3CYPCh. 13.3 - Prob. 4CYPCh. 13.3 - Prob. 5CYPCh. 13.3 - Prob. 1CYUCh. 13.3 - Prob. 2CYUCh. 13.3 - Prob. 3CYUCh. 13.3 - Prob. 4PPSCh. 13.3 - Prob. 5PPSCh. 13.3 - Prob. 6PPSCh. 13.3 - Prob. 7PPSCh. 13.3 - Prob. 8PPSCh. 13.3 - Prob. 9PPSCh. 13.3 - Prob. 10PPSCh. 13.3 - Prob. 11PPSCh. 13.3 - Prob. 12HPCh. 13.3 - Prob. 13HPCh. 13.3 - Prob. 14HPCh. 13.3 - Prob. 15HPCh. 13.3 - Prob. 16HPCh. 13.3 - Prob. 17STPCh. 13.3 - Prob. 18STPCh. 13.3 - Prob. 19STPCh. 13.3 - Prob. 20STPCh. 13.3 - Prob. 21SRCh. 13.3 - Prob. 22SRCh. 13.3 - Prob. 23SRCh. 13.3 - Prob. 24SRCh. 13.3 - Prob. 25SRCh. 13.3 - Prob. 26SRCh. 13.3 - Prob. 27SRCh. 13.3 - Prob. 28SCh. 13.3 - Prob. 29SCh. 13.4 - Prob. 1CYPCh. 13.4 - Prob. 2CYPCh. 13.4 - Prob. 3CYPCh. 13.4 - Prob. 1CYUCh. 13.4 - Prob. 2CYUCh. 13.4 - Prob. 3CYUCh. 13.4 - Prob. 4PPSCh. 13.4 - Prob. 5PPSCh. 13.4 - Prob. 6PPSCh. 13.4 - Prob. 7PPSCh. 13.4 - Prob. 8PPSCh. 13.4 - Prob. 9PPSCh. 13.4 - Prob. 10PPSCh. 13.4 - Prob. 11PPSCh. 13.4 - Prob. 12PPSCh. 13.4 - Prob. 13HPCh. 13.4 - Prob. 14HPCh. 13.4 - Prob. 15HPCh. 13.4 - Prob. 16HPCh. 13.4 - Prob. 17STPCh. 13.4 - Prob. 18STPCh. 13.4 - Prob. 19STPCh. 13.4 - Prob. 20STPCh. 13.4 - Prob. 21SRCh. 13.4 - Prob. 22SCh. 13.5 - Prob. 1CYPCh. 13.5 - Prob. 2CYPCh. 13.5 - Prob. 1CYUCh. 13.5 - Prob. 2CYUCh. 13.5 - Prob. 3CYUCh. 13.5 - Prob. 4CYUCh. 13.5 - Prob. 5PPSCh. 13.5 - Prob. 6PPSCh. 13.5 - Prob. 7PPSCh. 13.5 - Prob. 8PPSCh. 13.5 - Prob. 9PPSCh. 13.5 - Prob. 10PPSCh. 13.5 - Prob. 11PPSCh. 13.5 - Prob. 12HPCh. 13.5 - Prob. 13HPCh. 13.5 - Prob. 14HPCh. 13.5 - Prob. 15HPCh. 13.5 - Prob. 16HPCh. 13.5 - Prob. 17STPCh. 13.5 - Prob. 18STPCh. 13.5 - Prob. 19STPCh. 13.5 - Prob. 20STPCh. 13.5 - Prob. 21SRCh. 13.5 - Prob. 22SRCh. 13.5 - Prob. 23SCh. 13.5 - Prob. 24SCh. 13.5 - Prob. 25SCh. 13.6 - Prob. 1CYPCh. 13.6 - Prob. 2CYPCh. 13.6 - Prob. 3CYPCh. 13.6 - Prob. 4CYPCh. 13.6 - Prob. 5CYPCh. 13.6 - Prob. 1CYUCh. 13.6 - Prob. 2CYUCh. 13.6 - Prob. 3CYUCh. 13.6 - Prob. 4CYUCh. 13.6 - Prob. 5CYUCh. 13.6 - Prob. 6CYUCh. 13.6 - Prob. 7CYUCh. 13.6 - Prob. 8CYUCh. 13.6 - Prob. 9PPSCh. 13.6 - Prob. 10PPSCh. 13.6 - Prob. 11PPSCh. 13.6 - Prob. 12PPSCh. 13.6 - Prob. 13PPSCh. 13.6 - Prob. 14PPSCh. 13.6 - Prob. 15PPSCh. 13.6 - Prob. 16PPSCh. 13.6 - Prob. 17PPSCh. 13.6 - Prob. 18PPSCh. 13.6 - Prob. 19PPSCh. 13.6 - Prob. 20PPSCh. 13.6 - Prob. 21PPSCh. 13.6 - Prob. 22HPCh. 13.6 - Prob. 23HPCh. 13.6 - Prob. 24HPCh. 13.6 - Prob. 25HPCh. 13.6 - Prob. 26STPCh. 13.6 - Prob. 27STPCh. 13.6 - Prob. 28STPCh. 13.6 - Prob. 29STPCh. 13.6 - Prob. 30SRCh. 13.6 - Prob. 31SRCh. 13.6 - Prob. 32SCh. 13.6 - Prob. 33SCh. 13.6 - Prob. 34SCh. 13.6 - Prob. 35SCh. 13.7 - Prob. 1CYPCh. 13.7 - Prob. 2CYPCh. 13.7 - Prob. 3CYPCh. 13.7 - Prob. 1CYUCh. 13.7 - Prob. 2CYUCh. 13.7 - Prob. 3CYUCh. 13.7 - Prob. 4CYUCh. 13.7 - Prob. 5PPSCh. 13.7 - Prob. 6PPSCh. 13.7 - Prob. 7PPSCh. 13.7 - Prob. 8PPSCh. 13.7 - Prob. 9PPSCh. 13.7 - Prob. 10PPSCh. 13.7 - Prob. 11PPSCh. 13.7 - Prob. 12PPSCh. 13.7 - Prob. 13PPSCh. 13.7 - Prob. 14PPSCh. 13.7 - Prob. 15PPSCh. 13.7 - Prob. 16PPSCh. 13.7 - Prob. 17HPCh. 13.7 - Prob. 18HPCh. 13.7 - Prob. 19HPCh. 13.7 - Prob. 20HPCh. 13.7 - Prob. 21STPCh. 13.7 - Prob. 22STPCh. 13.7 - Prob. 23STPCh. 13.7 - Prob. 24STPCh. 13.7 - Prob. 25SRCh. 13.7 - Prob. 26SRCh. 13.7 - Prob. 27SRCh. 13.7 - Prob. 28SRCh. 13.7 - Prob. 29SRCh. 13.7 - Prob. 30SRCh. 13.7 - Prob. 31SCh. 13.7 - Prob. 32SCh. 13.7 - Prob. 33SCh. 13.7 - Prob. 34SCh. 13.8 - Prob. 1CYPCh. 13.8 - Prob. 2CYPCh. 13.8 - Prob. 3CYPCh. 13.8 - Prob. 4CYPCh. 13.8 - Prob. 1CYUCh. 13.8 - Prob. 2CYUCh. 13.8 - Prob. 3CYUCh. 13.8 - Prob. 4CYUCh. 13.8 - Prob. 5CYUCh. 13.8 - Prob. 6PPSCh. 13.8 - Prob. 7PPSCh. 13.8 - Prob. 8PPSCh. 13.8 - Prob. 9PPSCh. 13.8 - Prob. 10PPSCh. 13.8 - Prob. 11PPSCh. 13.8 - Prob. 12PPSCh. 13.8 - Prob. 13PPSCh. 13.8 - Prob. 14PPSCh. 13.8 - Prob. 15PPSCh. 13.8 - Prob. 16HPCh. 13.8 - Prob. 17HPCh. 13.8 - Prob. 18HPCh. 13.8 - Prob. 19HPCh. 13.8 - Prob. 20HPCh. 13.8 - Prob. 21STPCh. 13.8 - Prob. 22STPCh. 13.8 - Prob. 23STPCh. 13.8 - Prob. 24STPCh. 13.8 - Prob. 25SRCh. 13.8 - Prob. 26SRCh. 13.8 - Prob. 27SRCh. 13.8 - Prob. 28SRCh. 13.8 - Prob. 29SCh. 13.8 - Prob. 30SCh. 13.8 - Prob. 31SCh. 13.8 - Prob. 32SCh. 13.9 - Prob. 1ACYPCh. 13.9 - Prob. 1BCYPCh. 13.9 - Prob. 2CYPCh. 13.9 - Prob. 3ACYPCh. 13.9 - Prob. 3BCYPCh. 13.9 - Prob. 4CYPCh. 13.9 - Prob. 1CYUCh. 13.9 - Prob. 2CYUCh. 13.9 - Prob. 3CYUCh. 13.9 - Prob. 4CYUCh. 13.9 - Prob. 5PPSCh. 13.9 - Prob. 6PPSCh. 13.9 - Prob. 7PPSCh. 13.9 - Prob. 8PPSCh. 13.9 - Prob. 9PPSCh. 13.9 - Prob. 10PPSCh. 13.9 - Prob. 11PPSCh. 13.9 - Prob. 12PPSCh. 13.9 - Prob. 13PPSCh. 13.9 - Prob. 14PPSCh. 13.9 - Prob. 15PPSCh. 13.9 - Prob. 16PPSCh. 13.9 - Prob. 17PPSCh. 13.9 - Prob. 18PPSCh. 13.9 - Prob. 19PPSCh. 13.9 - Prob. 20PPSCh. 13.9 - Prob. 21PPSCh. 13.9 - Prob. 22PPSCh. 13.9 - Prob. 23PPSCh. 13.9 - Prob. 24PPSCh. 13.9 - Prob. 25PPSCh. 13.9 - Prob. 26PPSCh. 13.9 - Prob. 27PPSCh. 13.9 - Prob. 28PPSCh. 13.9 - Prob. 29PPSCh. 13.9 - Prob. 30PPSCh. 13.9 - Prob. 31PPSCh. 13.9 - Prob. 32PPSCh. 13.9 - Prob. 33HPCh. 13.9 - Prob. 34HPCh. 13.9 - Prob. 35HPCh. 13.9 - Prob. 36HPCh. 13.9 - Prob. 37HPCh. 13.9 - Prob. 38STPCh. 13.9 - Prob. 39STPCh. 13.9 - Prob. 40STPCh. 13.9 - Prob. 41STPCh. 13.9 - Prob. 42SRCh. 13.9 - Prob. 43SRCh. 13.9 - Prob. 44SRCh. 13.9 - Prob. 45SRCh. 13.9 - Prob. 46SRCh. 13.9 - Prob. 47SRCh. 13.9 - Prob. 48SRCh. 13.9 - Prob. 49SCh. 13.9 - Prob. 50SCh. 13.9 - Prob. 51SCh. 13.9 - Prob. 52SCh. 13.10 - Prob. 1ACYPCh. 13.10 - Prob. 1BCYPCh. 13.10 - Prob. 2ACYPCh. 13.10 - Prob. 2BCYPCh. 13.10 - Prob. 3CYPCh. 13.10 - Prob. 1CYUCh. 13.10 - Prob. 2CYUCh. 13.10 - Prob. 3CYUCh. 13.10 - Prob. 4CYUCh. 13.10 - Prob. 5PPSCh. 13.10 - Prob. 6PPSCh. 13.10 - Prob. 7PPSCh. 13.10 - Prob. 8PPSCh. 13.10 - Prob. 9PPSCh. 13.10 - Prob. 10PPSCh. 13.10 - Prob. 11PPSCh. 13.10 - Prob. 12PPSCh. 13.10 - Prob. 13PPSCh. 13.10 - Prob. 14PPSCh. 13.10 - Prob. 15PPSCh. 13.10 - Prob. 16PPSCh. 13.10 - Prob. 17PPSCh. 13.10 - Prob. 18PPSCh. 13.10 - Prob. 19PPSCh. 13.10 - Prob. 20PPSCh. 13.10 - Prob. 21PPSCh. 13.10 - Prob. 22PPSCh. 13.10 - Prob. 23PPSCh. 13.10 - Prob. 24PPSCh. 13.10 - Prob. 25PPSCh. 13.10 - Prob. 26HPCh. 13.10 - Prob. 27HPCh. 13.10 - Prob. 28HPCh. 13.10 - Prob. 29HPCh. 13.10 - Prob. 30HPCh. 13.10 - Prob. 31STPCh. 13.10 - Prob. 32STPCh. 13.10 - Prob. 33STPCh. 13.10 - Prob. 34STPCh. 13.10 - Prob. 35SRCh. 13.10 - Prob. 36SRCh. 13.10 - Prob. 37SRCh. 13.10 - Prob. 38SRCh. 13.10 - Prob. 39SRCh. 13.10 - Prob. 40SRCh. 13 - Prob. 1QCCh. 13 - Prob. 2QCCh. 13 - Prob. 3QCCh. 13 - Prob. 4QCCh. 13 - Prob. 5QCCh. 13 - Prob. 6QCCh. 13 - Prob. 7QCCh. 13 - Prob. 8QCCh. 13 - Prob. 9QCCh. 13 - Prob. 10QCCh. 13 - Prob. 11QCCh. 13 - Prob. 12QCCh. 13 - Prob. 13QCCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 11MCQCh. 13 - Prob. 12MCQCh. 13 - Prob. 1SGRCh. 13 - Prob. 2SGRCh. 13 - Prob. 3SGRCh. 13 - Prob. 4SGRCh. 13 - Prob. 5SGRCh. 13 - Prob. 6SGRCh. 13 - Prob. 7SGRCh. 13 - Prob. 8SGRCh. 13 - Prob. 9SGRCh. 13 - Prob. 10SGRCh. 13 - Prob. 11SGRCh. 13 - Prob. 12SGRCh. 13 - Prob. 13SGRCh. 13 - Prob. 14SGRCh. 13 - Prob. 15SGRCh. 13 - Prob. 16SGRCh. 13 - Prob. 17SGRCh. 13 - Prob. 18SGRCh. 13 - Prob. 19SGRCh. 13 - Prob. 20SGRCh. 13 - Prob. 21SGRCh. 13 - Prob. 22SGRCh. 13 - Prob. 23SGRCh. 13 - Prob. 24SGRCh. 13 - Prob. 25SGRCh. 13 - Prob. 26SGRCh. 13 - Prob. 27SGRCh. 13 - Prob. 28SGRCh. 13 - Prob. 29SGRCh. 13 - Prob. 30SGRCh. 13 - Prob. 31SGRCh. 13 - Prob. 32SGRCh. 13 - Prob. 33SGRCh. 13 - Prob. 34SGRCh. 13 - Prob. 35SGRCh. 13 - Prob. 36SGRCh. 13 - Prob. 37SGRCh. 13 - Prob. 38SGRCh. 13 - Prob. 39SGRCh. 13 - Prob. 40SGRCh. 13 - Prob. 41SGRCh. 13 - Prob. 42SGRCh. 13 - Prob. 1PTCh. 13 - Prob. 2PTCh. 13 - Prob. 3PTCh. 13 - Prob. 4PTCh. 13 - Prob. 5PTCh. 13 - Prob. 6PTCh. 13 - Prob. 7PTCh. 13 - Prob. 8PTCh. 13 - Prob. 9PTCh. 13 - Prob. 10PTCh. 13 - Prob. 11PTCh. 13 - Prob. 12PTCh. 13 - Prob. 13PTCh. 13 - Prob. 14PTCh. 13 - Prob. 15PTCh. 13 - Prob. 16PTCh. 13 - Prob. 17PTCh. 13 - Prob. 18PTCh. 13 - Prob. 19PTCh. 13 - Prob. 20PTCh. 13 - Prob. 1ECh. 13 - Prob. 2ECh. 13 - Prob. 1STPCh. 13 - Prob. 2STPCh. 13 - Prob. 3STPCh. 13 - Prob. 4STPCh. 13 - Prob. 5STPCh. 13 - Prob. 6STPCh. 13 - Prob. 7STPCh. 13 - Prob. 8STPCh. 13 - Prob. 9STPCh. 13 - Prob. 10STPCh. 13 - Prob. 11STPCh. 13 - Prob. 12STPCh. 13 - Prob. 13STP

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