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Question
Construct a frequency distribution table from the given cumulative frequency distribution showing the weights of 750 students in a school:
| Weight (in kg) | c.f. |
| More Than 25 | 750 |
| More Than 30 | 640 |
| More Than 35 | 615 |
| More Than 40 | 485 |
| More Than 45 | 370 |
| More Than 50 | 220 |
| More Than 55 | 124 |
| More Than 60 | 49 |
| More Than 65 | 24 |
| More Than 70 | 0 |
a. Find the number of students whose weight lie in the interval 40-45
b. Find the interval which has the most number of students.
Sum
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Solution
Frequency distribution table is as follows:
| Weight (in kg) | c.f. |
| 25 - 30 | 110 (750 - 640) |
| 30 - 35 | 25 (640 - 615) |
| 35 - 40 | 130 (615 - 485) |
| 40 - 45 | 115 (485 - 370) |
| 45 - 50 | 150 (370 - 220) |
| 50 - 55 | 96 (220 - 124) |
| 55 - 60 | 75 (124 - 49) |
| 60 - 65 | 25 (49 - 25) |
| 65 - 70 | 24 (24 - 0) |
| 70 - 75 | 0 |
a. The number of students whose weight lie in the interval 40 - 45 is 115.
b. The interval 45 - 50 has the most number of students.
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