This problem will take you through calculating the mean for grouped data by hand. The reason that the class midpoint is used in the table below is because it is the expected value for the average score in each class. Part A: Lower Class Limit Upper Class Limit Frequency Class midpoint Frequency times midpoint 40 44 1       45 49 3       50 54 4       55 59 11 57 627 60 64 20 62 1240 65 69 13 67 871 70 74 7 72 504 75 79 7 77 539 80 84 1 82 82 Part B: Now add up the last column of the table above.    Part C: Now add up the third column of your table.    Part D: Now divide your answer to Part B by your answer to Part C. This is the mean for the Grouped Frequency Data Table (GFDT).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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This problem will take you through calculating the mean for grouped data by hand.

The reason that the class midpoint is used in the table below is because it is the expected value for the average score in each class.

Part A:

Lower Class Limit Upper Class Limit Frequency Class midpoint Frequency times midpoint
40 44 1      
45 49 3      
50 54 4      
55 59 11 57 627
60 64 20 62 1240
65 69 13 67 871
70 74 7 72 504
75 79 7 77 539
80 84 1 82 82

Part B: Now add up the last column of the table above.   

Part C: Now add up the third column of your table.   

Part D: Now divide your answer to Part B by your answer to Part C. This is the mean for the Grouped Frequency Data Table (GFDT).   

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