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प्रश्न
A grouped frequency distribution table with classes of equal sizes using 63 – 72 (72 included) as one of the class is constructed for the following data:
30, 32, 45, 54, 74, 78, 108, 112, 66, 76, 88, 40, 14, 20, 15, 35, 44, 66, 75, 84, 95, 96, 102, 110, 88, 74, 112, 14, 34, 44.
The number of classes in the distribution will be:
पर्याय
9
10
11
12
उत्तर
10
Explanation:
We arrange the given data into groups like 13 – 22, 23 – 32, 103 – 112. (since, our data is from 14 to 112).
The class width in this case is 9.
Now, the given data can be arranged in tabular form as follows
| Class interval | Tally marks | Frequency |
| 13 – 22 | |||| | 4 |
| 23 – 32 | || | 2 |
| 33 – 42 | ||| | 3 |
| 43 – 52 | ||| | 3 |
| 53 – 62 | | | 1 |
| 63 – 72 | || | 2 |
| 73 – 82 | `\cancel(||||)` | 5 |
| 83 – 92 | ||| | 3 |
| 93 – 102 | ||| | 3 |
| 103 – 112 | |||| | 4 |
Hence, the number of classes in distribution will be 10.
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