Concept explainers
To calculate mean, median, mode, range and standard deviation
Answer to Problem 23SGR
Mean is 22.5, median is 21.5, mode is 38, range is 24, and standard deviation is 7.37
Explanation of Solution
Given information:
The data set is,
27,21,34,42,20,19,18,26,25,33
Formula used:
Mean is,
Median is,
Mode is,
Range is,
Standard deviation is,
Calculation:
Re-arranging the data in ascending order,
18, 19, 20, 21, 25, 26, 27, 33, 34, 42
Adding the constant,
14, 15, 16, 17, 21, 22, 23, 29, 30, 38
The minimum is 14
The maximum is 38
For range, substituting the values,
On solving,
Hence, range is 24.
For mean, substituting the values,
Hence, mode is 38
For median, substituting the values,
On solving,
Substituting the values,
On solving,
Hence, median is 21.5
For mean, substituting the values,
So,
On solving,
Hence, mean is 22.5
For standard deviation, substituting the values,
So,
On solving,
Hence, standard deviation is 7.37
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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