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?
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