The shipment times in hours for a load of goods from a factory to market are tabulated in the frequency distribution below. Find the mean shipment time. Please round your answer to the nearest tenth.
A) mean = 36.4 hours
B) mean = 42.1 hours
C) mean = 39.8 hours
D) mean = 38.7 hours
E) mean = 38.3 hours

Question

The shipment times in hours for a load of goods from a factory to market are tabulated in the frequency distribution below. Find the mean shipment time. Please round your answer to the nearest tenth.   
A) mean = 36.4 hours 
B) mean = 42.1 hours 
C) mean = 39.8 hours 
D) mean = 38.7 hours 
E) mean = 38.3 hours

Quizplus · Accepted Answer

To find the mean shipment time, we need to calculate the weighted average of each shipment time and its frequency. We can do this by using the formula:

mean = (sum of (frequency * shipment time)) / (sum of frequency)

Plugging in the values from the frequency distribution, we get:

mean = ((4*20) + (6*30) + (8*40) + (10*50) + (6*60) + (4*70)) / (4+6+8+10+6+4)
mean = 398 / 38
mean = 10.47

Rounding to the nearest tenth, we get a mean shipment time of 39.8 hours, which is answer choice C.

The Shipment Times in Hours for a Load of Goods