To find: The mean and standard deviation of the sample. (Rounded to the nearest tenth of a minute).
The mean and standard deviation for the given data set are
Given information:
Given, a grocery store manager wanted to determine the wait times for customers in the express lines. He timed customers chosen at random as follows:
Calculation:
The mean of the data is given by:
To determine the variance, the following table is used:
3.3 | 5.4 | -2.1 | 4.4 |
5.1 | 5.4 | -0.3 | 0.1 |
5.2 | 5.4 | -0.2 | 0 |
6.7 | 5.4 | 1.3 | 1.7 |
7.3 | 5.4 | 1.9 | 3.6 |
7.5 | 5.4 | 2.1 | 4.4 |
4.6 | 5.4 | -0.8 | 0.6 |
6.2 | 5.4 | 0.8 | 0.6 |
5.5 | 5.4 | 0.1 | 0 |
3.6 | 5.4 | -1.8 | 3.2 |
3.4 | 5.4 | -2 | 4 |
3.5 | 5.4 | -1.9 | 3.6 |
8.2 | 5.4 | 2.8 | 7.8 |
4.2 | 5.4 | -1.2 | 1.4 |
3.8 | 5.4 | -1.6 | 2.6 |
4.7 | 5.4 | -0.7 | 0.5 |
4.6 | 5.4 | -0.8 | 0.6 |
4.7 | 5.4 | -0.7 | 0.5 |
4.5 | 5.4 | -0.9 | 0.8 |
9.7 | 5.4 | 4.3 | 18.5 |
5.4 | 5.4 | 0 | 0 |
5.9 | 5.4 | 0.5 | 0.3 |
6.7 | 5.4 | 1.3 | 1.7 |
6.5 | 5.4 | 1.1 | 1.2 |
8.2 | 5.4 | 2.8 | 7.8 |
3.1 | 5.4 | -2.3 | 5.3 |
3.2 | 5.4 | -2.2 | 4.8 |
8.2 | 5.4 | 2.8 | 7.8 |
2.5 | 5.4 | -2.9 | 8.4 |
4.8 | 5.4 | -0.6 | 0.4 |
Sum: | 96.6 |
Hence,
The standard deviation is given by:
Conclusion:
The mean and standard deviation for the given data set are
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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