Chapter 2.1, Problem 23E

(a)

To determine

To explain the effect on the shape due to increase in the salary of each teacher by $1000.

Answer to Problem 23E

No change

Explanation of Solution

Here the changes are being made in the salary of each teacher which is increase in the salary of each teacher by $1000. The changes in the salary of all means that there is change in origin and there is no effect on the shape of the distribution due to change in origin.

(b)

To determine

To explain the effect on the Mean and median due to increase in the salary of each teacher by $1000.

Answer to Problem 23E

Mean = It will be increased by 3

Median = No effect

Explanation of Solution

Here the changes are being made in the salary of each teacher which is increase in the salary of teacher by $1000. The changes in the salary of all teacher means that there is change in origin and when there is change in origin means that there is also increase or decrease in the mean by the same amount, so the mean will increase by $1000, but there is no effect on the median of the data still the middle term will be the median.

(c)

To determine

To explain the effect on the Mean and median due to increase in the salary of each teacher by $1000.

Answer to Problem 23E

Standard deviation = No change

Interquartile range = No change

Explanation of Solution

Here the changes are being made in the salary of each teacher which is increase in the salary of teacher by $1000. The changes in the salary of all teachers means that there is change in origin and when there is change in origin then there is no effect on the measures of the dispersion like standard and interquartile range.