Question

Draw a histogram from the following frequency distribution and find the mode from the graph:

Class	0-5	5-10	10-15	15-20	20-25	25-30
Frequency	2	5	18	14	8	5

Answer 1

Steps for calculation of mode.
(1) Mark the endpoints of the upper corner of the rectangle with maximum frequency
as A and B.
(2) Mark the inner corner of adjacent rectangles as C and D.
(3) Join AC and BD to intersect at K. From K, draw KL perpendicular to the x-axis.
(4) The value of L on the x-axis represents the mode. Thus, Mode = 13

Answer 2

Mode = 13·6