Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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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
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
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.
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.
Chapter 10 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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. 13PPSCh. 10.4 - Prob. 14PPSCh. 10.4 - Prob. 15PPSCh. 10.4 - Prob. 16PPSCh. 10.4 - Prob. 17PPSCh. 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. 1PFACh. 10 - Prob. 2PFACh. 10 - Prob. 3PFACh. 10 - Prob. 4PFACh. 10 - Prob. 5PFACh. 10 - Prob. 6PFACh. 10 - Prob. 7PFACh. 10 - Prob. 8PFACh. 10 - Prob. 9PFACh. 10 - Prob. 10PFACh. 10 - Prob. 11PFACh. 10 - Prob. 12PFACh. 10 - Prob. 13PFA
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