Mathematics
Construct a frequency distribution table for the following distribution :
| Marks (less than) | Cumulative frequency |
|---|---|
| 0 | 0 |
| 10 | 7 |
| 20 | 28 |
| 30 | 54 |
| 40 | 71 |
| 50 | 84 |
| 60 | 105 |
| 70 | 147 |
| 80 | 180 |
| 90 | 196 |
| 100 | 200 |
Answer
The frequency distribution table for above distribution is :
| Marks | Cumulative frequency | Frequency |
|---|---|---|
| 0 - 10 | 7 | 7 |
| 10 - 20 | 28 | 21 (28 - 7) |
| 20 - 30 | 54 | 26 (54 - 28) |
| 30 - 40 | 71 | 17 (71 - 54) |
| 40 - 50 | 84 | 13 (84 - 71) |
| 50 - 60 | 105 | 21 (105 - 84) |
| 60 - 70 | 147 | 42 (147 - 105) |
| 70 - 80 | 180 | 33 (180 - 147) |
| 80 - 90 | 196 | 16 (196 - 180) |
| 90 - 100 | 200 | 4 (200 - 196) |
Related Questions
Construct a frequency distribution table for the following distribution :
Marks (more than) Cumulative frequency 0 100 10 87 20 65 30 55 40 42 50 36 60 31 70 21 80 18 90 7 100 0 Use graph paper for this question.
The table given below shows the monthly wages of some factory workers.
(i) Using the table, calculate the cumulative frequencies of workers.
(ii) Draw a cumulative frequency curve.
Wages (in ₹) No. of workers 6500 - 7000 10 7000 - 7500 18 7500 - 8000 22 8000 - 8500 25 8500 - 9000 17 9000 - 9500 10 9500 - 10000 8 (a) Use the information given in the adjoining histogram to construct a frequency table.
(b) Use this table to construct an ogive.
The following table shows the distribution of the heights of a group of factory workers :
Ht. (cm) No. of workers 150 - 155 6 155 - 160 12 160 - 165 18 165 - 170 20 170 - 175 13 175 - 180 8 180 - 185 6 (i) Determine the cumulative frequencies.
(ii) Draw the 'less than' cumulative frequency curve on graph paper.