Eight people took a test in which one can score only 1, 2, or 3. (a) You know that exactly two people scored 1 and that the distribu- tion is summetric about the mean. What is that variance of the set of scores? (b) Let the variance of the set be 1. Lis
Eight people took a test in which one can score only 1, 2, or 3.
(a) You know that exactly two people scored 1 and that the distribu-
tion is summetric about the mean. What is that variance of the set
of scores?
(b) Let the variance of the set be 1. List the eight scores.
(c) Given that the mean of the scores is 3, what is the standard devia-
tion of the set of scores?[1, 1.1.131
10. The treasury department is considering several schemes for revising its
salary and employment policies for government workers.
The following three schemes are suggested. Determine, in each case,
how the suggested revision would affect each of the following mea-
sures:
(a) Each employee will get a raise of $125 per month.
(b) The salaries will be increased by 15% across the board.
(c) The number of employees at each salary level will be decreased
to 90% of their original number.
1. The mean monthly salary in dollars.
i. The variance of the monthly salaries.
ill. The standard deviation of the monthly salaries.
iv. The median monthly salary.
v. The modal monthly salary.[1, 1.1.15]
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10. The treasury department is considering several schemes for revising its
salary and employment policies for government workers.
The following three schemes are suggested. Determine, in each case,
how the suggested revision would affect each of the following mea-
sures:
(a) Each employee will get a raise of $125 per month.
(b) The salaries will be increased by 15% across the board.
(c) The number of employees at each salary level will be decreased
to 90% of their original number.
1. The mean monthly salary in dollars.
i. The variance of the monthly salaries.
ill. The standard deviation of the monthly salaries.
iv. The median monthly salary.
v. The modal monthly salary.[1, 1.1.15]
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