1. Construct a grouped frequency distribution table from the following data
`77,41,85,82,85,96,93,66,78,94,50,57`Solution:`77,41,85,82,85,96,93,66,78,94,50,57`
Here minimum value is 41 and maximum value is 96
Class | Class Boundaries | Tally marks | Frequency |
41 - 50 | | | |
51 - 60 | | | |
61 - 70 | | | |
71 - 80 | | | |
81 - 90 | | | |
91 - 100 | | | |
Total | | | |
Class boundaries : subtracting 0.5 from lower class limit and adding 0.5 to upper class limit
Class | Class Boundaries | Tally marks | Frequency |
41 - 50 | 40.5 - 50.5 | | |
51 - 60 | 50.5 - 60.5 | | |
61 - 70 | 60.5 - 70.5 | | |
71 - 80 | 70.5 - 80.5 | | |
81 - 90 | 80.5 - 90.5 | | |
91 - 100 | 90.5 - 100.5 | | |
Total | | | |
For each value draw a tally mark, next to the class in which this value exists.
`77,41,85,82,85,96,93,66,78,94,50,57`
Class | Class Boundaries | Tally marks | Frequency |
41 - 50 | 40.5 - 50.5 | || | |
51 - 60 | 50.5 - 60.5 | | | |
61 - 70 | 60.5 - 70.5 | | | |
71 - 80 | 70.5 - 80.5 | || | |
81 - 90 | 80.5 - 90.5 | ||| | |
91 - 100 | 90.5 - 100.5 | ||| | |
Total | | | |
Count tally marks to determine the total frequency of each class.
Class | Class Boundaries | Tally marks | Frequency |
41 - 50 | 40.5 - 50.5 | || | 2 |
51 - 60 | 50.5 - 60.5 | | | 1 |
61 - 70 | 60.5 - 70.5 | | | 1 |
71 - 80 | 70.5 - 80.5 | || | 2 |
81 - 90 | 80.5 - 90.5 | ||| | 3 |
91 - 100 | 90.5 - 100.5 | ||| | 3 |
Total | | | 12 |
2. Construct a grouped frequency distribution table from the following data
`85,96,76,108,85,80,100,85,70,95`Solution:`85,96,76,108,85,80,100,85,70,95`
Here minimum value is 70 and maximum value is 108
Class | Class Boundaries | Tally marks | Frequency |
61 - 70 | | | |
71 - 80 | | | |
81 - 90 | | | |
91 - 100 | | | |
101 - 110 | | | |
Total | | | |
Class boundaries : subtracting 0.5 from lower class limit and adding 0.5 to upper class limit
Class | Class Boundaries | Tally marks | Frequency |
61 - 70 | 60.5 - 70.5 | | |
71 - 80 | 70.5 - 80.5 | | |
81 - 90 | 80.5 - 90.5 | | |
91 - 100 | 90.5 - 100.5 | | |
101 - 110 | 100.5 - 110.5 | | |
Total | | | |
For each value draw a tally mark, next to the class in which this value exists.
`85,96,76,108,85,80,100,85,70,95`
Class | Class Boundaries | Tally marks | Frequency |
61 - 70 | 60.5 - 70.5 | | | |
71 - 80 | 70.5 - 80.5 | || | |
81 - 90 | 80.5 - 90.5 | ||| | |
91 - 100 | 90.5 - 100.5 | ||| | |
101 - 110 | 100.5 - 110.5 | | | |
Total | | | |
Count tally marks to determine the total frequency of each class.
Class | Class Boundaries | Tally marks | Frequency |
61 - 70 | 60.5 - 70.5 | | | 1 |
71 - 80 | 70.5 - 80.5 | || | 2 |
81 - 90 | 80.5 - 90.5 | ||| | 3 |
91 - 100 | 90.5 - 100.5 | ||| | 3 |
101 - 110 | 100.5 - 110.5 | | | 1 |
Total | | | 10 |
This material is intended as a summary. Use your textbook for detail explanation.
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