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The earnings for each of 50 used-car representatives were recorded in the last week before Christmas. The results are shown in the following grouped frequency distribution.


 Using the appropriate formulae calculate the:
1 Mean weekly earnings 
2 Model weekly earnings 
3 Median weekly earnings 
4 65th percentile

in Statistics 102 by Silver Status (31.3k points) | 11 views

1 Answer

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1. Mean =  (∑midpoint X frequency) / total frequency

               = (150X12 + 375X9 +. ............. + 575X5) / 50

                = 19250/50

                = 385

 

2. Model is the most frequency class midpoint.

    so model = 150

3. Median is mid position data.

    median position is (50+1)/2=25.5

   median class is 400-450

  median = 425

4. 65th percentile position = 65 X (50+1)/100 = 33,15

     65th percentile = (450+500)/2 = 475

by (21 points)

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