1. Example-1
1. Construct an ungrouped frequency distribution table from the following data `2,3,7,8,8,5,5,3,7,3,1,8,6,7,4,5,6,3,2,4,3,4,9,8,3`
Solution: `2,3,7,8,8,5,5,3,7,3,1,8,6,7,4,5,6,3,2,4,3,4,9,8,3`
Here minimum value is 1 and maximum value is 9
x | Tally marks | Frequency | 1 | | | 2 | | | 3 | | | 4 | | | 5 | | | 6 | | | 7 | | | 8 | | | 9 | | | Total | | |
For each value draw a tally mark, next to the x. `2,3,7,8,8,5,5,3,7,3,1,8,6,7,4,5,6,3,2,4,3,4,9,8,3`
x | Tally marks | Frequency | 1 | | | | 2 | || | | 3 | ||||| | | | 4 | ||| | | 5 | ||| | | 6 | || | | 7 | ||| | | 8 | |||| | | 9 | | | | Total | | |
Count tally marks to determine the total frequency of each x.
x | Tally marks | Frequency | 1 | | | 1 | 2 | || | 2 | 3 | ||||| | | 6 | 4 | ||| | 3 | 5 | ||| | 3 | 6 | || | 2 | 7 | ||| | 3 | 8 | |||| | 4 | 9 | | | 1 | Total | | 25 |
2. Construct an ungrouped frequency distribution table from the following data `21,23,19,17,12,15,15,17,17,19,23,23,21,23,25,25,21,19,19,19`
Solution: `21,23,19,17,12,15,15,17,17,19,23,23,21,23,25,25,21,19,19,19`
Here minimum value is 12 and maximum value is 25
x | Tally marks | Frequency | 12 | | | 13 | | | 14 | | | 15 | | | 16 | | | 17 | | | 18 | | | 19 | | | 20 | | | 21 | | | 22 | | | 23 | | | 24 | | | 25 | | | Total | | |
For each value draw a tally mark, next to the x. `21,23,19,17,12,15,15,17,17,19,23,23,21,23,25,25,21,19,19,19`
x | Tally marks | Frequency | 12 | | | | 13 | | | 14 | | | 15 | || | | 16 | | | 17 | ||| | | 18 | | | 19 | ||||| | | 20 | | | 21 | ||| | | 22 | | | 23 | |||| | | 24 | | | 25 | || | | Total | | |
Count tally marks to determine the total frequency of each x.
x | Tally marks | Frequency | 12 | | | 1 | 13 | | 0 | 14 | | 0 | 15 | || | 2 | 16 | | 0 | 17 | ||| | 3 | 18 | | 0 | 19 | ||||| | 5 | 20 | | 0 | 21 | ||| | 3 | 22 | | 0 | 23 | |||| | 4 | 24 | | 0 | 25 | || | 2 | Total | | 20 |
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