Chapter 4, Problem 22E

(a)

To determine

To Explain: the distribution.

Explanation of Solution

Given:

  

By seeing the histogram, it is observed that the distribution is centred at about 290, with a standard deviation of about 10. The distribution looks normal (bell-shaped). The peak is at 290, and the standard spread looks to be about 10.

(b)

To determine

To find: the proportion of professional male golfers that is less than 280 yards.

Answer to Problem 22E

15%

Explanation of Solution

Given:

  

Calculation:

About 15%

Approximately 30 professional male golfers which is less than 280 yards therefore the proportion of professional male golfers drive on average less than 280 yard is

30 (20+5+3+1=29, take it 30 approximately.)

There are 202 golfers total. $\frac{30}{202}=15\%$ .

(c)

To determine

To Calculate: the mean on the basis of given histogram.

Answer to Problem 22E

287.5

Explanation of Solution

Given:

  

The mean is approximately 287.5

The data is largely normal (bell-shaped). The mean is about where the peak is lie.

(d)

To determine

To Explain: that expect the mean to be smaller, equal or larger than the median.

Explanation of Solution

Given:

  

The mean would be about equal to the median. The histogram appears to be normally distributed. The spread is equal approximately the mean in a perfectly normally distributed curve, the mean, median, and mode coincide