Frequency distribution

The following frequency distribution gives the time spent for fill-up at a gas station.  Assume that each value in a class is equal to the midpoint of the class.  Estimate the mean fill-up time for the given data.  Round your answer to the nearest hundredth.

 Time for Fill-Up at Gas Station (In Minutes) Frequency
8.50-9.49 52
9.50-10.49 47
10.50-11.49 22
11.50-12.49 51
12.50-13.49 37


Correct answer:

m =  10.8706 min

Step-by-step explanation:

a=(9.49+8.50)/2=1799200=8.995 min b=(10.49+9.50)/2=1999200=9.995 min c=(11.49+10.50)/2=2199200=10.995 min d=(12.49+11.50)/2=2399200=11.995 min e=(13.49+12.50)/2=2599200=12.995 min  m=a 52+b 47+c 22+d 51+e 3752+47+22+51+37=8.995 52+9.995 47+10.995 22+11.995 51+12.995 3752+47+22+51+37=10.8706 min



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