To find: The mean and the standard deviation for the data set of the Dow Jones Industrial average for the first 12 weeks of 1988 as follows:
The mean and standard deviation for the given data set are
Given information:
The given data set is
Calculation:
The mean of the data is given by:
To determine the variance, the following table is used:
1911.31 | 1992.33 | -81.02 | 6564.24 |
1956.07 | 1992.33 | -36.26 | 1314.79 |
1903.51 | 1992.33 | -88.82 | 7888.99 |
1958.22 | 1992.33 | -34.11 | 1163.49 |
1910.48 | 1992.33 | -81.85 | 6699.42 |
1983.26 | 1992.33 | -9.07 | 82.26 |
2014.59 | 1992.33 | 22.26 | 495.51 |
2023.21 | 1992.33 | 30.88 | 953.57 |
2057.86 | 1992.33 | 65.53 | 4294.18 |
2034.98 | 1992.33 | 42.65 | 1819.02 |
2087.37 | 1992.33 | 95.04 | 9032.6 |
2067.14 | 1992.33 | 74.81 | 5596.54 |
45904.61 |
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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