Mathematics
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 |
Answer
The frequency distribution table for above distribution is :
| Marks | Cumulative frequency | Frequency |
|---|---|---|
| 0 - 10 | 100 | 13 (100 - 87) |
| 10 - 20 | 87 | 22 (87 - 65) |
| 20 - 30 | 65 | 10 (65 - 55) |
| 30 - 40 | 55 | 13 (55 - 42) |
| 40 - 50 | 42 | 6 (42 - 36) |
| 50 - 60 | 36 | 5 (36 - 31) |
| 60 - 70 | 31 | 10 (31 - 21) |
| 70 - 80 | 21 | 3 (21 - 18) |
| 80 - 90 | 18 | 11 (18 - 7) |
| 90 - 100 | 7 | 7 |
Related Questions
(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.
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 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