Exhibit 2-11.The accompanying relative frequency distribution represents the last year car sales for the sales force at Kelly's Mega Used Car Center. Refer to Exhibit 2-11.If Kelly's employs 100 salespeople,how many of these salespeople have sold at least 45 but less than 65 cars in the last year?
A)15
B)31
C)40
D)46

Question

Exhibit 2-11.The accompanying relative frequency distribution represents the last year car sales for the sales force at Kelly's Mega Used Car Center.  Refer to Exhibit 2-11.If Kelly's employs 100 salespeople,how many of these salespeople have sold at least 45 but less than 65 cars in the last year?
A)15 
B)31 
C)40 
D)46

Quizplus · Accepted Answer

To find the number of salespeople who sold at least 45 but less than 65 cars, we need to add up the relative frequencies for the corresponding classes. 
The relative frequency for the class 40-44 is 0.10, for the class 45-49 it is 0.15, and for the class 50-54 it is 0.22. Adding these up gives us a relative frequency of 0.47 for the interval 40-54 (which includes the range of cars sold from at least 45 but less than 65). 
Therefore, out of 100 salespeople, 0.47 * 100 = 47 have sold at least 45 but less than 65 cars. However, we need to subtract the relative frequency for the interval 55-59 (0.01) and the interval 60-64 (0.02) to get the exact number of salespeople who sold in the desired range. 
Thus, 47 - 0.01 * 100 - 0.02 * 100 = 47 - 1 - 2 = 44. 
Therefore, the best choice is D: 46, as this is the closest answer option to our calculated value of 44.