The following table shows the weights (in gm) of a sample of 100 apples, taken from a large consignment:

Weight (in gm)	Number of apples
50 - 60	8
60 - 70	10
70 - 80	12
80 - 90	16
90 - 100	18
100 - 110	14
110 - 120	12
120 - 130	10

(i) Construct the cumulative frequency table

(ii) Draw the cumulative frequency curve on a graph paper and from it, determine the median weight of the apples.

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

(ii) Steps of construction :

1. Take 1 cm along x- axis = 10 grams

2. Take 1 cm along y- axis = 10 units

3. A kink is drawn near x-axis to show that the scale starts from 50 and not zero. Plot the point (50, 0) as ogive starts from x- axis representing lower limit of first class.

4. Plot the points (60, 8), (70, 18), (80, 30), (90, 46), (100, 64), (110, 78), (120, 90), (130, 100)

5. Joint the points by a free hand curve.

Here, n (no, of students) = 100.

To find the median :

Let A be the point on y-axis representing frequency = $\dfrac{\text{n}}{2} = \dfrac{100}{2}$ = 50.

Through A draw a horizontal line to meet the ogive at P. Through P, draw a vertical line to meet the x-axis at M. The abscissa of the points M represents 92.5.

Hence, the median weight is 92.5 gm.