Concept explainers
To find mean, median, mode, range and standard deviation of data after multiply by 3.
Answer to Problem 10.9EP
Mean=53.75
Median=54
Mode=69
Range=33
Standard deviation,
Explanation of Solution
Given information:
Data: 12, 18, 21, 18, 19, 18, 16, 23, 20, 15, 17, 18.
After multiply by 3
Data: 36, 54, 63, 54, 57, 54, 48, 69, 60, 45, 51, 54
Formula used:
nis number of frequency
or Xiis mean
Calculation:
Using mean formula to calculate mean of data
On solving,
mean=53.75
Median
Ordered data is 36, 45, 48, 51, 54, 54, 54, 54, 57, 60, 63, 69
n=12
nis even
Middle two terms 54, 54
Median=(54+54)/2 On solving,
Median=54
Mode
Mode is highest frequency of the data
Then, mode=69
Range
Ordered data is 36, 45, 48, 51, 54, 54, 54, 54, 57, 60, 63, 69
Maximum=69
Minimum=36
Range=maximum-minimum
=69-36
On solving,
=33
Standard deviation
n=12
Using formula of standard deviation
On solving,
So,
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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