Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Question
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Chapter 10.5, Problem 24HP
To determine

To explain your reasoning."If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.what effect on mean, median, mode, range and standard deviation".

Expert Solution & Answer
Check Mark

Answer to Problem 24HP

Mean of set of data will be increase.

Median of set of data will be increase.

No effect on Mode.

Range of set of data will be increase.

Standard deviation of set of data will be increase.

Explanation of Solution

Given information:

k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0

Lets take data set: 6, 7, 8, 9, 10.

Mean=(6+7+8+9+10)/(5)=(40)/(5)=8

Median=8.

Mode=0.

Range=10-6=4

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 10.5, Problem 24HP , additional homework tip 1

Lets take k=2 and m=5 m>0.

New data set according to given information:40, 45, 50, 55, 60.

New mean=50.

New median=50.

New mode=0

Range=60-40=20.

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 10.5, Problem 24HP , additional homework tip 2

Summary:

If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.then mean of set of data will be increase.

If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.then median of a set of data will be increase.

If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.then there is no change in the mode of a set of data.

If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.then range of set of data will be increase.

If k is added to every value in a set of data, and then each resulting value is multiplied by a constant m, m > 0.then standard deviation of set of data will be increase.

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Chapter 10.5, Problem 23HP
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Chapter 10.5, Problem 25HP

Chapter 10 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 10.1 - Prob. 1GPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3AGPCh. 10.1 - Prob. 3BGPCh. 10.1 - Prob. 4GPCh. 10.1 - Prob. 1CYUCh. 10.1 - Prob. 2CYUCh. 10.1 - Prob. 3CYUCh. 10.1 - Prob. 4CYUCh. 10.1 - Prob. 5CYU
Ch. 10.1 - Prob. 6CYUCh. 10.1 - Prob. 7PPSCh. 10.1 - Prob. 8PPSCh. 10.1 - Prob. 9PPSCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15HPCh. 10.1 - Prob. 16HPCh. 10.1 - Prob. 17HPCh. 10.1 - Prob. 18HPCh. 10.1 - Prob. 19HPCh. 10.1 - Prob. 20HPCh. 10.1 - Prob. 21HPCh. 10.1 - Prob. 22PFACh. 10.1 - Prob. 23PFACh. 10.1 - Prob. 24PFACh. 10.1 - Prob. 25PFACh. 10.1 - Prob. 26PFACh. 10.1 - Prob. 27PFACh. 10.2 - Prob. 1AGPCh. 10.2 - Prob. 1BGPCh. 10.2 - Prob. 2AGPCh. 10.2 - Prob. 2BGPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4GPCh. 10.2 - Prob. 5GPCh. 10.2 - Prob. 1CYUCh. 10.2 - Prob. 2CYUCh. 10.2 - Prob. 3CYUCh. 10.2 - Prob. 4CYUCh. 10.2 - Prob. 5CYUCh. 10.2 - Prob. 6PPSCh. 10.2 - Prob. 7PPSCh. 10.2 - Prob. 8PPSCh. 10.2 - Prob. 9PPSCh. 10.2 - Prob. 10PPSCh. 10.2 - Prob. 11PPSCh. 10.2 - Prob. 12PPSCh. 10.2 - Prob. 13PPSCh. 10.2 - Prob. 14PPSCh. 10.2 - Prob. 15PPSCh. 10.2 - Prob. 16HPCh. 10.2 - Prob. 17HPCh. 10.2 - Prob. 18HPCh. 10.2 - Prob. 19PFACh. 10.2 - Prob. 20PFACh. 10.2 - Prob. 21PFACh. 10.2 - Prob. 22PFACh. 10.2 - Prob. 23PFACh. 10.2 - Prob. 24PFACh. 10.2 - Prob. 25PFACh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4GPCh. 10.3 - Prob. 1CYUCh. 10.3 - Prob. 2CYUCh. 10.3 - Prob. 3CYUCh. 10.3 - Prob. 4CYUCh. 10.3 - Prob. 5PPSCh. 10.3 - Prob. 6PPSCh. 10.3 - Prob. 7PPSCh. 10.3 - Prob. 8PPSCh. 10.3 - Prob. 9PPSCh. 10.3 - Prob. 10PPSCh. 10.3 - Prob. 11PPSCh. 10.3 - Prob. 12PPSCh. 10.3 - Prob. 13PPSCh. 10.3 - Prob. 14PPSCh. 10.3 - Prob. 15HPCh. 10.3 - Prob. 16HPCh. 10.3 - Prob. 17HPCh. 10.3 - Prob. 18HPCh. 10.3 - Prob. 19HPCh. 10.3 - Prob. 20HPCh. 10.3 - Prob. 21PFACh. 10.3 - Prob. 22PFACh. 10.3 - Prob. 23PFACh. 10.3 - Prob. 24PFACh. 10.3 - Prob. 25PFACh. 10.3 - Prob. 26PFACh. 10.3 - Prob. 27PFACh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 1CYUCh. 10.4 - Prob. 2CYUCh. 10.4 - Prob. 3CYUCh. 10.4 - Prob. 4CYUCh. 10.4 - Prob. 5PPSCh. 10.4 - Prob. 6PPSCh. 10.4 - Prob. 7PPSCh. 10.4 - Prob. 8PPSCh. 10.4 - Prob. 9PPSCh. 10.4 - Prob. 10PPSCh. 10.4 - Prob. 11PPSCh. 10.4 - Prob. 12HPCh. 10.4 - Prob. 13HPCh. 10.4 - Prob. 14HPCh. 10.4 - Prob. 15HPCh. 10.4 - Prob. 16HPCh. 10.4 - Prob. 17HPCh. 10.4 - Prob. 18PFACh. 10.4 - Prob. 19PFACh. 10.4 - Prob. 20PFACh. 10.4 - Prob. 21PFACh. 10.4 - Prob. 22PFACh. 10.4 - Prob. 23PFACh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3AGPCh. 10.5 - Prob. 3BGPCh. 10.5 - Prob. 4AGPCh. 10.5 - Prob. 4BGPCh. 10.5 - Prob. 1CYUCh. 10.5 - Prob. 2CYUCh. 10.5 - Prob. 3CYUCh. 10.5 - Prob. 4CYUCh. 10.5 - Prob. 5CYUCh. 10.5 - Prob. 6CYUCh. 10.5 - Prob. 7PPSCh. 10.5 - Prob. 8PPSCh. 10.5 - Prob. 9PPSCh. 10.5 - Prob. 10PPSCh. 10.5 - Prob. 11PPSCh. 10.5 - Prob. 12PPSCh. 10.5 - Prob. 13PPSCh. 10.5 - Prob. 14PPSCh. 10.5 - Prob. 15PPSCh. 10.5 - Prob. 16PPSCh. 10.5 - Prob. 17PPSCh. 10.5 - Prob. 18PPSCh. 10.5 - Prob. 19PPSCh. 10.5 - Prob. 20PPSCh. 10.5 - Prob. 21PPSCh. 10.5 - Prob. 22HPCh. 10.5 - Prob. 23HPCh. 10.5 - Prob. 24HPCh. 10.5 - Prob. 25HPCh. 10.5 - Prob. 26PFACh. 10.5 - Prob. 27PFACh. 10.5 - Prob. 28PFACh. 10.5 - Prob. 29PFACh. 10.6 - Prob. 1AGPCh. 10.6 - Prob. 1BGPCh. 10.6 - Prob. 1CGPCh. 10.6 - Prob. 1DGPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3AGPCh. 10.6 - Prob. 3BGPCh. 10.6 - Prob. 4AGPCh. 10.6 - Prob. 4BGPCh. 10.6 - Prob. 4CGPCh. 10.6 - Prob. 4DGPCh. 10.6 - Prob. 5AGPCh. 10.6 - Prob. 1CYUCh. 10.6 - Prob. 2CYUCh. 10.6 - Prob. 3CYUCh. 10.6 - Prob. 4CYUCh. 10.6 - Prob. 5CYUCh. 10.6 - Prob. 6CYUCh. 10.6 - Prob. 7CYUCh. 10.6 - Prob. 8CYUCh. 10.6 - Prob. 9CYUCh. 10.6 - Prob. 10CYUCh. 10.6 - Prob. 11CYUCh. 10.6 - Prob. 12CYUCh. 10.6 - Prob. 13CYUCh. 10.6 - Prob. 14CYUCh. 10.6 - Prob. 15PPSCh. 10.6 - Prob. 16PPSCh. 10.6 - Prob. 17PPSCh. 10.6 - Prob. 18PPSCh. 10.6 - Prob. 19PPSCh. 10.6 - Prob. 20PPSCh. 10.6 - Prob. 21PPSCh. 10.6 - Prob. 22PPSCh. 10.6 - Prob. 23PPSCh. 10.6 - Prob. 24PPSCh. 10.6 - Prob. 25PPSCh. 10.6 - Prob. 26PPSCh. 10.6 - Prob. 27PPSCh. 10.6 - Prob. 28PPSCh. 10.6 - Prob. 29PPSCh. 10.6 - Prob. 30PPSCh. 10.6 - Prob. 31PPSCh. 10.6 - Prob. 32PPSCh. 10.6 - Prob. 33PPSCh. 10.6 - Prob. 34PPSCh. 10.6 - Prob. 35PPSCh. 10.6 - Prob. 36PPSCh. 10.6 - Prob. 37PPSCh. 10.6 - Prob. 38HPCh. 10.6 - Prob. 39HPCh. 10.6 - Prob. 40HPCh. 10.6 - Prob. 41PFACh. 10.6 - Prob. 42PFACh. 10.6 - Prob. 43PFACh. 10 - Prob. 1MCQCh. 10 - Prob. 2MCQCh. 10 - Prob. 3MCQCh. 10 - Prob. 4MCQCh. 10 - Prob. 5MCQCh. 10 - Prob. 6MCQCh. 10 - Prob. 7MCQCh. 10 - Prob. 8MCQCh. 10 - Prob. 9MCQCh. 10 - Prob. 10MCQCh. 10 - Prob. 11MCQCh. 10 - Prob. 1SGRCh. 10 - Prob. 2SGRCh. 10 - Prob. 3SGRCh. 10 - Prob. 4SGRCh. 10 - Prob. 5SGRCh. 10 - Prob. 6SGRCh. 10 - Prob. 7SGRCh. 10 - Prob. 8SGRCh. 10 - Prob. 9SGRCh. 10 - Prob. 10SGRCh. 10 - Prob. 11SGRCh. 10 - Prob. 12SGRCh. 10 - Prob. 13SGRCh. 10 - Prob. 14SGRCh. 10 - Prob. 15SGRCh. 10 - Prob. 16SGRCh. 10 - Prob. 17SGRCh. 10 - Prob. 18SGRCh. 10 - Prob. 19SGRCh. 10 - Prob. 20SGRCh. 10 - Prob. 21SGRCh. 10 - Prob. 22SGRCh. 10 - Prob. 23SGRCh. 10 - Prob. 24SGRCh. 10 - Prob. 25SGRCh. 10 - Prob. 26SGRCh. 10 - Prob. 27SGRCh. 10 - Prob. 1PTCh. 10 - Prob. 2PTCh. 10 - Prob. 3PTCh. 10 - Prob. 4PTCh. 10 - Prob. 5PTCh. 10 - Prob. 6PTCh. 10 - Prob. 7PTCh. 10 - Prob. 8PTCh. 10 - Prob. 9PTCh. 10 - Prob. 10PTCh. 10 - Prob. 11PTCh. 10 - Prob. 12PTCh. 10 - Prob. 13PTCh. 10 - Prob. 1CRCh. 10 - Prob. 2CRCh. 10 - Prob. 3CRCh. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Prob. 11CRCh. 10 - Prob. 12CRCh. 10 - Prob. 13CR

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