Concept explainers
To find mean median mode, range and standard deviation.
Answer to Problem 1GP
Mean=30
Median=32.5
Mode=22
Range=38
Standard deviation=10.14
Explanation of Solution
Given information:Data set is,
27,41,15,36,26,40,53,38,37,24, 45, 26
Formula used:Mean formula is,
Mean=
Where, n=total number of terms,
Mode formula is,
Mode= most repeating numbers.
Median formula is,
Median=
Range formula is,
Range= maximum- minimum
Standard deviation formula is,
Where
Calculation:
After adding -4,
New data is 23,37,11,32,22,36,49,34,33,20,41,22
Sort the number in ascending order,
11,20,22,22,23,32,33,34,36,37,41,49
For mean.
Substituting the value,
So,
For median.
Substituting value,
=
Substituting the values,
On solving,
For mode, substituting the value
Mode= 22
For Range,
Substituting the values,
On solving,
For standard deviation,
values | Difference= | ( |
11 | -19 | 361 |
20 | -10 | 100 |
22 | -8 | 64 |
22 | -8 | 64 |
23 | -7 | 49 |
32 | 2 | 4 |
33 | 3 | 9 |
34 | 4 | 16 |
36 | 6 | 36 |
37 | 7 | 49 |
41 | 11 | 121 |
49 | 19 | 361 |
Total | 1234 |
Substituting value,
On solving,
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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