Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Inverse Normal Distribution
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Mean, Median, Mode
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Question
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Chapter 12.3, Problem 23HP
To determine

To calculate : the mean and standard deviation of the given population of data represented by the histogram.

Expert Solution & Answer
Check Mark

Answer to Problem 23HP

The mean of the given data is 4_ .

The standard deviation of the data is 1.9_ .

Explanation of Solution

Given information :

Consider the histogram given in the question:

  Algebra 1, Chapter 12.3, Problem 23HP , additional homework tip 1

Formula used :

Mean, ˉx=ΣfixiΣfi , where fi is the frequency of each class interval and xi is the mid-point of each class.

Variance, σ2=Σfi(xi−ˉx)2Σfi

Standard deviation is the square root of variance.

Calculation :

As per problem,

From the histogram:

  Algebra 1, Chapter 12.3, Problem 23HP , additional homework tip 2

Divide the sum of lower limit and upper limit of each class by two to get the mid-point of each class.

To find mean, calculate the sum of the product of mid-point and frequency of each class and the sum of frequencies.

  Algebra 1, Chapter 12.3, Problem 23HP , additional homework tip 3

Therefore the mean of the given data is ˉx=ΣfixiΣfi=28170≈4.0

To calculate the variance, find the square of the difference between the mid points of each class and the mean. Then find the product of frequency and the square of the difference. Finally, calculate the sum of the product.

  Algebra 1, Chapter 12.3, Problem 23HP , additional homework tip 4

The variance of the data is, σ2=Σfi(xi−ˉx)2Σfi=254.570≈3.6

The standard deviation is the square root of variance.

Therefore, standard deviation, σ=√3.6≈1.9

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Chapter 12.2, Problem 51S
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Chapter 12.3, Problem 1CYP

Chapter 12 Solutions

Algebra 1

Ch. 12.1 - Prob. 1ACYPCh. 12.1 - Prob. 1BCYPCh. 12.1 - Prob. 2ACYPCh. 12.1 - Prob. 2BCYPCh. 12.1 - Prob. 3ACYPCh. 12.1 - Prob. 3BCYPCh. 12.1 - Prob. 3CCYPCh. 12.1 - Prob. 1CYUCh. 12.1 - Prob. 2CYUCh. 12.1 - Prob. 3CYU
Ch. 12.1 - Prob. 4CYUCh. 12.1 - Prob. 5CYUCh. 12.1 - Prob. 6CYUCh. 12.1 - Prob. 7PPSCh. 12.1 - Prob. 8PPSCh. 12.1 - Prob. 9PPSCh. 12.1 - Prob. 10PPSCh. 12.1 - Prob. 11PPSCh. 12.1 - Prob. 12PPSCh. 12.1 - Prob. 13PPSCh. 12.1 - Prob. 14PPSCh. 12.1 - Prob. 15PPSCh. 12.1 - Prob. 16PPSCh. 12.1 - Prob. 17PPSCh. 12.1 - Prob. 18PPSCh. 12.1 - Prob. 19PPSCh. 12.1 - Prob. 20PPSCh. 12.1 - Prob. 21HPCh. 12.1 - Prob. 22HPCh. 12.1 - Prob. 23HPCh. 12.1 - Prob. 24HPCh. 12.1 - Prob. 25STPCh. 12.1 - Prob. 26STPCh. 12.1 - Prob. 27STPCh. 12.1 - Prob. 28STPCh. 12.1 - Prob. 29SRCh. 12.1 - Prob. 30SRCh. 12.1 - Prob. 31SRCh. 12.1 - Prob. 32SRCh. 12.1 - Prob. 33SRCh. 12.1 - Prob. 34SRCh. 12.1 - Prob. 35SRCh. 12.1 - Prob. 36SRCh. 12.1 - Prob. 37SRCh. 12.1 - Prob. 38SRCh. 12.1 - Prob. 39SRCh. 12.1 - Prob. 40SCh. 12.2 - Prob. 1ACYPCh. 12.2 - Prob. 1BCYPCh. 12.2 - Prob. 2CYPCh. 12.2 - Prob. 3CYPCh. 12.2 - Prob. 28PPSCh. 12.2 - Prob. 30HPCh. 12.2 - Prob. 35STPCh. 12.2 - Prob. 1CYUCh. 12.2 - Prob. 2CYUCh. 12.2 - Prob. 3CYUCh. 12.2 - Prob. 4CYUCh. 12.2 - Prob. 5CYUCh. 12.2 - Prob. 6CYUCh. 12.2 - Prob. 7CYUCh. 12.2 - Prob. 8CYUCh. 12.2 - Prob. 9CYUCh. 12.2 - Prob. 10PPSCh. 12.2 - Prob. 11PPSCh. 12.2 - Prob. 12PPSCh. 12.2 - Prob. 13PPSCh. 12.2 - Prob. 14PPSCh. 12.2 - Prob. 15PPSCh. 12.2 - Prob. 16PPSCh. 12.2 - Prob. 17PPSCh. 12.2 - Prob. 18PPSCh. 12.2 - Prob. 19PPSCh. 12.2 - Prob. 20PPSCh. 12.2 - Prob. 21PPSCh. 12.2 - Prob. 22PPSCh. 12.2 - Prob. 23PPSCh. 12.2 - Prob. 24PPSCh. 12.2 - Prob. 25PPSCh. 12.2 - Prob. 26PPSCh. 12.2 - Prob. 27PPSCh. 12.2 - Prob. 29HPCh. 12.2 - Prob. 31HPCh. 12.2 - Prob. 33STPCh. 12.2 - Prob. 34STPCh. 12.2 - Prob. 36STPCh. 12.2 - Prob. 37SRCh. 12.2 - Prob. 38SRCh. 12.2 - Prob. 39SRCh. 12.2 - Prob. 40SRCh. 12.2 - Prob. 41SRCh. 12.2 - Prob. 42SRCh. 12.2 - Prob. 43SRCh. 12.2 - Prob. 44SRCh. 12.2 - Prob. 45SRCh. 12.2 - Prob. 46SCh. 12.2 - Prob. 47SCh. 12.2 - Prob. 48SCh. 12.2 - Prob. 49SCh. 12.2 - Prob. 50SCh. 12.2 - Prob. 51SCh. 12.3 - Prob. 23HPCh. 12.3 - Prob. 1CYPCh. 12.3 - Prob. 2CYPCh. 12.3 - Prob. 3ACYPCh. 12.3 - Prob. 3BCYPCh. 12.3 - Prob. 4CYPCh. 12.3 - Prob. 1CYUCh. 12.3 - Prob. 2CYUCh. 12.3 - Prob. 3CYUCh. 12.3 - Prob. 4CYUCh. 12.3 - Prob. 5CYUCh. 12.3 - Prob. 6CYUCh. 12.3 - Prob. 7CYUCh. 12.3 - Prob. 8PPSCh. 12.3 - Prob. 9PPSCh. 12.3 - Prob. 10PPSCh. 12.3 - Prob. 11PPSCh. 12.3 - Prob. 12PPSCh. 12.3 - Prob. 13PPSCh. 12.3 - Prob. 14PPSCh. 12.3 - Prob. 15PPSCh. 12.3 - Prob. 16PPSCh. 12.3 - Prob. 17PPSCh. 12.3 - Prob. 18PPSCh. 12.3 - Prob. 19PPSCh. 12.3 - Prob. 20PPSCh. 12.3 - Prob. 21PPSCh. 12.3 - Prob. 22HPCh. 12.3 - Prob. 24HPCh. 12.3 - Prob. 25HPCh. 12.3 - Prob. 26HPCh. 12.3 - Prob. 27HPCh. 12.3 - Prob. 28STPCh. 12.3 - Prob. 29STPCh. 12.3 - Prob. 30STPCh. 12.3 - Prob. 31STPCh. 12.3 - Prob. 32SRCh. 12.3 - Prob. 33SRCh. 12.3 - Prob. 34SRCh. 12.3 - Prob. 35SRCh. 12.3 - Prob. 36SRCh. 12.3 - Prob. 37SCh. 12.3 - Prob. 38SCh. 12.3 - Prob. 39SCh. 12.3 - Prob. 40SCh. 12.3 - Prob. 41SCh. 12.3 - Prob. 42SCh. 12.3 - Prob. 1MCQCh. 12.3 - Prob. 2MCQCh. 12.3 - Prob. 3MCQCh. 12.3 - Prob. 4MCQCh. 12.3 - Prob. 5MCQCh. 12.3 - Prob. 6MCQCh. 12.3 - Prob. 7MCQCh. 12.3 - Prob. 8MCQCh. 12.3 - Prob. 9MCQCh. 12.3 - Prob. 10MCQCh. 12.3 - Prob. 11MCQCh. 12.3 - Prob. 12MCQCh. 12.3 - Prob. 13MCQCh. 12.3 - Prob. 14MCQCh. 12.3 - Prob. 15MCQCh. 12.4 - Prob. 1CYPCh. 12.4 - Prob. 2CYPCh. 12.4 - Prob. 3CYPCh. 12.4 - Prob. 4CYPCh. 12.4 - Prob. 5ACYPCh. 12.4 - Prob. 5BCYPCh. 12.4 - Prob. 1CYUCh. 12.4 - Prob. 2CYUCh. 12.4 - Prob. 3CYUCh. 12.4 - Prob. 4CYUCh. 12.4 - Prob. 5CYUCh. 12.4 - Prob. 6CYUCh. 12.4 - Prob. 7CYUCh. 12.4 - Prob. 8CYUCh. 12.4 - Prob. 9PPSCh. 12.4 - Prob. 10PPSCh. 12.4 - Prob. 11PPSCh. 12.4 - Prob. 12PPSCh. 12.4 - Prob. 13PPSCh. 12.4 - Prob. 14PPSCh. 12.4 - Prob. 15PPSCh. 12.4 - Prob. 16PPSCh. 12.4 - Prob. 17PPSCh. 12.4 - Prob. 18PPSCh. 12.4 - Prob. 19PPSCh. 12.4 - Prob. 20PPSCh. 12.4 - Prob. 21PPSCh. 12.4 - Prob. 22PPSCh. 12.4 - Prob. 23PPSCh. 12.4 - Prob. 24PPSCh. 12.4 - Prob. 25PPSCh. 12.4 - Prob. 26PPSCh. 12.4 - Prob. 27PPSCh. 12.4 - Prob. 28PPSCh. 12.4 - Prob. 29PPSCh. 12.4 - Prob. 30PPSCh. 12.4 - Prob. 31PPSCh. 12.4 - Prob. 32PPSCh. 12.4 - Prob. 33PPSCh. 12.4 - Prob. 34PPSCh. 12.4 - Prob. 35HPCh. 12.4 - Prob. 36HPCh. 12.4 - Prob. 37HPCh. 12.4 - Prob. 38HPCh. 12.4 - Prob. 39HPCh. 12.4 - Prob. 40STPCh. 12.4 - Prob. 41STPCh. 12.4 - Prob. 42STPCh. 12.4 - Prob. 43STPCh. 12.4 - Prob. 44SRCh. 12.4 - Prob. 45SRCh. 12.4 - Prob. 46SRCh. 12.4 - Prob. 47SRCh. 12.4 - Prob. 48SRCh. 12.4 - Prob. 49SRCh. 12.4 - Prob. 50SRCh. 12.4 - Prob. 51SRCh. 12.4 - Prob. 52SRCh. 12.4 - Prob. 53SRCh. 12.4 - Prob. 54SRCh. 12.4 - Prob. 55SRCh. 12.4 - Prob. 56SRCh. 12.4 - Prob. 57SCh. 12.4 - Prob. 58SCh. 12.4 - Prob. 59SCh. 12.4 - Prob. 60SCh. 12.4 - Prob. 61SCh. 12.4 - Prob. 62SCh. 12.5 - Prob. 1ACYPCh. 12.5 - Prob. 1BCYPCh. 12.5 - Prob. 2ACYPCh. 12.5 - Prob. 2BCYPCh. 12.5 - Prob. 3ACYPCh. 12.5 - Prob. 3BCYPCh. 12.5 - Prob. 4CYPCh. 12.5 - Prob. 1CYUCh. 12.5 - Prob. 2CYUCh. 12.5 - Prob. 3CYUCh. 12.5 - Prob. 4CYUCh. 12.5 - Prob. 5CYUCh. 12.5 - Prob. 6CYUCh. 12.5 - Prob. 7CYUCh. 12.5 - Prob. 8CYUCh. 12.5 - Prob. 9PPSCh. 12.5 - Prob. 10PPSCh. 12.5 - Prob. 11PPSCh. 12.5 - Prob. 12PPSCh. 12.5 - Prob. 13PPSCh. 12.5 - Prob. 14PPSCh. 12.5 - Prob. 15PPSCh. 12.5 - Prob. 16PPSCh. 12.5 - Prob. 17PPSCh. 12.5 - Prob. 18PPSCh. 12.5 - Prob. 19PPSCh. 12.5 - Prob. 20PPSCh. 12.5 - Prob. 21PPSCh. 12.5 - Prob. 22PPSCh. 12.5 - Prob. 23PPSCh. 12.5 - Prob. 24PPSCh. 12.5 - Prob. 25PPSCh. 12.5 - Prob. 26PPSCh. 12.5 - Prob. 27PPSCh. 12.5 - Prob. 28PPSCh. 12.5 - Prob. 29PPSCh. 12.5 - Prob. 30PPSCh. 12.5 - Prob. 31PPSCh. 12.5 - Prob. 32PPSCh. 12.5 - Prob. 33PPSCh. 12.5 - Prob. 34HPCh. 12.5 - Prob. 35HPCh. 12.5 - Prob. 36HPCh. 12.5 - Prob. 37HPCh. 12.5 - Prob. 38HPCh. 12.5 - Prob. 39STPCh. 12.5 - Prob. 40STPCh. 12.5 - Prob. 41STPCh. 12.5 - Prob. 42STPCh. 12.5 - Prob. 43SRCh. 12.5 - Prob. 44SRCh. 12.5 - Prob. 49SRCh. 12.5 - Prob. 50SRCh. 12.5 - Prob. 45SRCh. 12.5 - Prob. 46SRCh. 12.5 - Prob. 47SRCh. 12.5 - Prob. 48SRCh. 12.5 - Prob. 51SCh. 12.5 - Prob. 52SCh. 12.5 - Prob. 53SCh. 12.5 - Prob. 54SCh. 12.5 - Prob. 55SCh. 12.5 - Prob. 56SCh. 12.6 - Prob. 2ACYPCh. 12.6 - Prob. 2CCYPCh. 12.6 - Prob. 2CYUCh. 12.6 - Prob. 10PPSCh. 12.6 - Prob. 11PPSCh. 12.6 - Prob. 12PPSCh. 12.6 - Prob. 13PPSCh. 12.6 - Prob. 14HPCh. 12.6 - Prob. 15HPCh. 12.6 - Prob. 16HPCh. 12.6 - Prob. 17HPCh. 12.6 - Prob. 18HPCh. 12.6 - Prob. 1ACYPCh. 12.6 - Prob. 1BCYPCh. 12.6 - Prob. 2BCYPCh. 12.6 - Prob. 1CYUCh. 12.6 - Prob. 3CYUCh. 12.6 - Prob. 4PPSCh. 12.6 - Prob. 5PPSCh. 12.6 - Prob. 6PPSCh. 12.6 - Prob. 7PPSCh. 12.6 - Prob. 8PPSCh. 12.6 - Prob. 9PPSCh. 12.6 - Prob. 19STPCh. 12.6 - Prob. 20STPCh. 12.6 - Prob. 21STPCh. 12.6 - Prob. 22STPCh. 12.6 - Prob. 23SRCh. 12.6 - Prob. 24SRCh. 12.6 - Prob. 25SRCh. 12.6 - Prob. 26SRCh. 12.6 - Prob. 27SRCh. 12.6 - Prob. 28SRCh. 12.6 - Prob. 29SRCh. 12.6 - Prob. 30SRCh. 12.6 - Prob. 31SRCh. 12.6 - Prob. 32SRCh. 12.6 - Prob. 33SRCh. 12.6 - Prob. 34SRCh. 12.6 - Prob. 35SCh. 12.6 - Prob. 36SCh. 12.6 - Prob. 37SCh. 12.7 - Prob. 30SRCh. 12.7 - Prob. 31SRCh. 12.7 - Prob. 32SRCh. 12.7 - Prob. 33SRCh. 12.7 - Prob. 34SRCh. 12.7 - Prob. 35SRCh. 12.7 - Prob. 36SRCh. 12.7 - Prob. 37SRCh. 12.7 - Prob. 38SRCh. 12.7 - Prob. 39SRCh. 12.7 - Prob. 1CYPCh. 12.7 - Prob. 2ACYPCh. 12.7 - Prob. 2BCYPCh. 12.7 - Prob. 3ACYPCh. 12.7 - Prob. 3BCYPCh. 12.7 - Prob. 3CCYPCh. 12.7 - Prob. 3DCYPCh. 12.7 - Prob. 1CYUCh. 12.7 - Prob. 2CYUCh. 12.7 - Prob. 3CYUCh. 12.7 - Prob. 4CYUCh. 12.7 - Prob. 5PPSCh. 12.7 - Prob. 6PPSCh. 12.7 - Prob. 7PPSCh. 12.7 - Prob. 8PPSCh. 12.7 - Prob. 9PPSCh. 12.7 - Prob. 10PPSCh. 12.7 - Prob. 11PPSCh. 12.7 - Prob. 12PPSCh. 12.7 - Prob. 13PPSCh. 12.7 - Prob. 14PPSCh. 12.7 - Prob. 15HPCh. 12.7 - Prob. 16HPCh. 12.7 - Prob. 17HPCh. 12.7 - Prob. 18HPCh. 12.7 - Prob. 19HPCh. 12.7 - Prob. 20STPCh. 12.7 - Prob. 21STPCh. 12.7 - Prob. 22STPCh. 12.7 - Prob. 23STPCh. 12.7 - Prob. 24SRCh. 12.7 - Prob. 25SRCh. 12.7 - Prob. 26SRCh. 12.7 - Prob. 27SRCh. 12.7 - Prob. 28SRCh. 12.7 - Prob. 29SRCh. 12 - Prob. 1QCCh. 12 - Prob. 2QCCh. 12 - Prob. 3QCCh. 12 - Prob. 4QCCh. 12 - Prob. 5QCCh. 12 - Prob. 6QCCh. 12 - Prob. 7QCCh. 12 - Prob. 8QCCh. 12 - Prob. 9QCCh. 12 - Prob. 10QCCh. 12 - Prob. 11QCCh. 12 - Prob. 12QCCh. 12 - Prob. 13QCCh. 12 - Prob. 14QCCh. 12 - Prob. 15QCCh. 12 - Prob. 16QCCh. 12 - Prob. 17QCCh. 12 - Prob. 1SGRCh. 12 - Prob. 2SGRCh. 12 - Prob. 3SGRCh. 12 - Prob. 4SGRCh. 12 - Prob. 5SGRCh. 12 - Prob. 6SGRCh. 12 - Prob. 7SGRCh. 12 - Prob. 8SGRCh. 12 - Prob. 9SGRCh. 12 - Prob. 10SGRCh. 12 - Prob. 11SGRCh. 12 - Prob. 12SGRCh. 12 - Prob. 13SGRCh. 12 - Prob. 14SGRCh. 12 - Prob. 15SGRCh. 12 - Prob. 16SGRCh. 12 - Prob. 17SGRCh. 12 - Prob. 18SGRCh. 12 - Prob. 19SGRCh. 12 - Prob. 20SGRCh. 12 - Prob. 21SGRCh. 12 - Prob. 22SGRCh. 12 - Prob. 23SGRCh. 12 - Prob. 24SGRCh. 12 - Prob. 25SGRCh. 12 - Prob. 26SGRCh. 12 - Prob. 27SGRCh. 12 - Prob. 28SGRCh. 12 - Prob. 29SGRCh. 12 - Prob. 30SGRCh. 12 - Prob. 31SGRCh. 12 - Prob. 32SGRCh. 12 - Prob. 33SGRCh. 12 - Prob. 34SGRCh. 12 - Prob. 35SGRCh. 12 - Prob. 36SGRCh. 12 - Prob. 1PTCh. 12 - Prob. 2PTCh. 12 - Prob. 3PTCh. 12 - Prob. 4PTCh. 12 - Prob. 5PTCh. 12 - Prob. 6PTCh. 12 - Prob. 7PTCh. 12 - Prob. 8PTCh. 12 - Prob. 9PTCh. 12 - Prob. 10PTCh. 12 - Prob. 11PTCh. 12 - Prob. 12PTCh. 12 - Prob. 13PTCh. 12 - Prob. 14PTCh. 12 - Prob. 15PTCh. 12 - Prob. 16PTCh. 12 - Prob. 17PTCh. 12 - Prob. 18PTCh. 12 - Prob. 19PTCh. 12 - Prob. 20PTCh. 12 - Prob. 1STPCh. 12 - Prob. 2STPCh. 12 - Prob. 3STPCh. 12 - Prob. 4STPCh. 12 - Prob. 5STPCh. 12 - Prob. 6STPCh. 12 - Prob. 7STPCh. 12 - Prob. 8STPCh. 12 - Prob. 9STPCh. 12 - Prob. 10STPCh. 12 - Prob. 11STPCh. 12 - Prob. 12STPCh. 12 - Prob. 13STPCh. 12 - Prob. 14STPCh. 12 - Prob. 15STPCh. 12 - Prob. 16STPCh. 12 - Prob. 17STPCh. 12 - Prob. 18STP

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