The following is a distribution of monthly commissions:
Monthly Commissions Class Frequencies
$600 - $7993
$800 - $9997
$1,000 - $1,19911
$1,200 - $1,39922
$1,400 - $1,59940
$1,600 - $1,79924
$1,800 - $1,9999
$2,000 - $2,1994
Referring to the table above, what is the relative frequency for those salespersons that earn between $1,600 and $1,799?
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A. B. C. D. E.D
The sum of all the class frequencies is 120. The relative frequency for the $1600-$1799 class is therefore 24/120 = 20%
To calculate the relative frequency for the salespersons earning between $1,600 and $1,799, we need to find the total number of salespersons falling within that range and divide it by the total number of salespersons in the entire distribution.
From the given table, we can see that there are 24 salespersons earning between $1,600 and $1,799. To find the total number of salespersons in the distribution, we sum up all the frequencies:
3 + 7 + 11 + 22 + 40 + 24 + 9 + 4 = 120
So, there are a total of 120 salespersons in the distribution.
Now, we can calculate the relative frequency by dividing the frequency of salespersons earning between $1,600 and $1,799 (24) by the total number of salespersons (120):
Relative Frequency = (Frequency of Salespersons earning between $1,600 and $1,799) / (Total number of Salespersons)
Relative Frequency = 24 / 120 = 0.2
To express the relative frequency as a percentage, we multiply it by 100:
Relative Frequency (as a percentage) = 0.2 * 100 = 20%
Therefore, the relative frequency for salespersons earning between $1,600 and $1,799 is 20%.
The correct answer is D. 20%.