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).
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).
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).
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).
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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