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Convert the given frequency distribution into a continuous grouped frequency distribution:
| Class interval | Frequency |
| 150-153 | 7 |
| 154-157 | 7 |
| 158-161 | 15 |
| 162-165 | 10 |
| 166-169 | 5 |
| 170-173 | 6 |
In which intervals would 153.5 and 157.5 be included?
Answers (1)
Given classes are :
150 - 153, 154 - 157, 158-161 and so on.
Consider any one class: 150-153
The lower limit of 154 -157 = 154
Upper limit of 150 - 153 = 153
Difference = 154 - 153 = 1
Half of the difference = 0.5
The new class interval formed = (150 - 0.5) - (153 + 0.5) = 149.5 - 153.5.
Similarly for other classes as well. So we get:
| Class interval | Frequency |
| 149.5-153-5 | 7 |
| 153.5-157.5 | 7 |
| 157.5-161.5 | 15 |
| 161.5-165.5 | 10 |
| 165.5-169.5 | 5 |
| 169.5-173.5 | 6 |
Hence 153.5 belongs to the class interval 153.5 -157.5 and 157.5 belongs to the class interval 157.5 - 161.5
View full answer
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