Chapter 1.2, Problem 63E

(a)

To determine

To explain: the reason for having the total for women is greater than 100%.

Answer to Problem 63E

This deviation of 0.1%.

Explanation of Solution

Given:

  

We note that the total for women is 100.1% instead of 100%

This deviation of 0.1% is most likely due to round off error.

(b)

To determine

To make: histograms for the given data.

Answer to Problem 63E

  

Explanation of Solution

Calculation:

The first bar starts at 10 and ends at 15, the other bars are adjacent and each have a width of 5.

The height of the bar has to be equal to the percent.

  

Conclusion:

“Thus, the histogram is made.”

(c)

To determine

To write: few sentences comparing the salary distributions for men and women.

Answer to Problem 63E

Shape:right-skewed

Center: higher for men than for women

Spread: men is more than the women

Explanation of Solution

Shape: Both distributions are right-skewed, because the highest bars are to the left of the histogram.

Center: the center is higher for men than for women, because the highest bar for men is more to the right than for women.

Spread: The spread for men is more than the spread for women, because the histogram of men contains one more bar (that is not almost zero) than the histogram for women.