Question

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

I.Q. Score	80-100	100-120	120-140	140-160	160-180	180-200
No. of Students	6	9	16	13	4	2

Answer 1

(a) Take 1cm = 1 unit and plot I. Q. Score 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 120-140 has highest frequency i.e. 16 
(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 = 134