Question

The table given below shows the frequency distribution of the scores obtained by 200 candidates in a BCA entrance examination:

Scores	200-250	250-300	300-350	350-400	400-450	450-500	500-550	550-600
No. of candidates	30	15	45	20	25	40	10	15

Draw a cumulative frequency curve using 'Less than' series.

Answer 1

Less than Series:
We may prepare the 'Less than' series as shown:

Score	Number of candidates
Less than 250	30
Less than 300	45
Less than 350	90
Less than 400	110
Less than 450	135
Less than 500	175
Less than 550	185
Less than 600	200

Scale:
Along the x - axis, 1 big division = 50
Along the y - axis, 1 big division = 20
We plot the points A(250,30) , B(300, 45), C(350, 90), D(400, 110), E(450, 135), F(500, 175), G(550, 185) and H(600, 200) on a graph paper.
Join, AB, BC, CD, DE, EF, FG and GH with a free hand to get the curve representing the 'Less than' series.