Question

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

Mangoes	0-9	10-19	20-29	30-39	40-49	50-59
No. of trees	10	16	20	14	6	4

Answer 1

Mangoes per tree	No. of trees
0.5-9.5	10
9.5-19.5	16
19.5-29.5	20
29.5-39.5	14
39.5-49.5	6
49.5-59.5	4

(a) Take 1cm = 1 unit and plot mangoes on x-axis and no. of trees on y-axis. 
(b) Draw a bar graph for the given data. 
(c) From the histogram it is clear that class 19.5-29.5 has highest frequency i.e. 20 
(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 = 23 .5