Relative Frequency of Salespersons Earning More than $1,599

E

This is found by adding up all the frequencies of the classes above $1599. In this case 24 + 9 + 4 = 37. Then we divide this by the total frequencies, which is 120.

Therefore, 37/120 = 30.8%

To find the relative frequency of salespersons who earn more than $1,599, we need to calculate the total number of salespersons who earn more than $1,599 and divide it by the total number of salespersons.

From the given distribution, we can see that the commissions are categorized into different ranges. To calculate the relative frequency of salespersons earning more than $1,599, we need to sum the frequencies of the categories that fall within that range.

Looking at the table, the relevant categories are:

$1,600 - $1,799: 24 salespersons $1,800 - $1,999: 9 salespersons $2,000 - $2,199: 4 salespersons

Adding up the frequencies, we get: 24 + 9 + 4 = 37 salespersons who earn more than $1,599.

To find the total number of salespersons, we sum up all the frequencies given: 3 + 7 + 11 + 22 + 40 + 24 + 9 + 4 = 120 salespersons.

Now, we can calculate the relative frequency by dividing the number of salespersons earning more than $1,599 by the total number of salespersons: Relative Frequency = (37 / 120) * 100%

Using a calculator, we can compute this as: Relative Frequency = 30.8333%

Rounding this to the nearest tenth, we get approximately 30.8%.

Therefore, the correct answer is E. 30.8%.