
Concept explainers
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".

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.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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