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For finding the mode, first we find the modal class i.e. class with maximum frequency
In the given data, Modal class is 40 - 50 and then we use the following formula for finding the mode
Where
Mode=l+(f1-f0/2fi-f0-f2)h
l, lower limit of modal class = 40
h, width of modal class = 10
f1, frequency of modal class = 20
f0, frequency of class preceding modal class = 12
f2, frequency of class exceeding modal class = 11
Putting the values, we get
40+(20-12/2*20-12-11)10
40+8/17*10
= 44.70
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