Question

Draw a histogram for the following distribution and estimate the mode: 

Marks%	30-39	40-49	50-59	60-69	70-79	80-89	90-99
No. of students	14	26	40	92	114	78	36

Answer 1

Marks %	No. of students
29.5-39.5	14
39.5-49.5	26
49.5-59.5	40
59.5-69.5	92
69.5-79.5	114
79.5-89.5	78
89.5-99.5	36

(a) Take 1cm = 1 unit and plot marks % on x-axis and no. of students on y-axis. 
(b) Draw a bar graph for the given data. 
(c) From the histogram it is clear that class 69.5-79.5 has highest frequency i.e. 114 
(d) Join the ends of the corresponding frequencies which meet at P and drop a perpendicular on the x-axis from P to Q. Q is the mode. Therefore, Mode = 73