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Section 2-1

Section 2-1. Frequency Distribution Example. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8. First Lower Limit is the Minimum Value!!!. 68. 61.

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Section 2-1

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  1. Section 2-1 Frequency Distribution Example

  2. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8 First Lower Limit is the Minimum Value!!! 68 61 First Upper Limit is one less than 2nd Lower Limit 69 Add Class Width Down 76 Add Class Width Down 84 77 92 85 100 93 108 101

  3. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8 Subtract one-half unit from lower limits to get lower boundaries 68 61 60.5 68.5 64.5 Find the mean of the limits (or boundaries) to find the midpoint of each class. 72.5 69 76 76.5 68.5 84 77 80.5 76.5 84.5 Add one-half unit to upper limits to get upper boundaries 92 88.5 92.5 84.5 85 92.5 100.5 100 96.5 93 108 104.5 100.5 101 108.5

  4. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8 Count how many data points fit in each class and enter that into the Frequency column 61 68 60.5 68.5 64.5 2 69 76 68.5 76.5 72.5 7 77 84 76.5 84.5 80.5 11 85 92 84.5 92.5 88.5 7 93 100 92.5 100.5 96.5 2 101 108 100.5 108.5 104.5 1

  5. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8 Relative Frequency is the class frequency divided by the total frequency. In this case, we have 30 pieces of data, so we divide by 30. 0.07 61 68 60.5 68.5 64.5 2 2/30 0.23 69 76 68.5 76.5 72.5 7 7/30 77 84 76.5 84.5 80.5 11 11/30 0.37 85 92 84.5 92.5 88.5 7 7/30 0.23 0.07 93 100 92.5 100.5 96.5 2 2/30 101 108 100.5 108.5 104.5 1 0.03 1/30

  6. EXAMPLE: Use the table of 30 numbers below to fill in a frequency distribution of 6 classes. Max Value: 104 Min Value: 61 Range: 43 Class Width: 8 Cumulative Frequency is the Frequency of each class, plus the classes that came before it. The last class must have a cumulative frequency that matches the number of data points 61 68 60.5 68.5 64.5 2 0.07 2 69 76 68.5 76.5 72.5 7 0.23 9 77 84 76.5 84.5 80.5 11 0.37 20 85 92 84.5 92.5 88.5 7 0.23 27 93 100 92.5 100.5 96.5 2 0.07 29 101 108 100.5 108.5 104.5 1 0.03 30

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