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

(i) The cumulative frequency distribution table is as follows :

(ii) Steps for construction of cumulative frequency curve :

1. Since, the scale on x-axis starts at 6500, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 6500.

2. Take 2 cm along x-axis = ₹ 500.

3. Take 1 cm along y-axis = 10 workers.

4. Ogive always starts from a point on x-axis representing the lower limit of first class. Mark point (6500, 0).

5. Take upper class limits along x-axis, corresponding cumulative frequencies along y-axis, mark the points (7000, 10), (7500, 28), (8000, 50), (8500, 75), (9000, 92), (9500, 102) and (10000, 110).

6. Join the points marked by a free hand curve.

The required ogive is shown in the below figure: