# Some surnames were picked up from a local telephone directory and the frequency distribution of the number of letters of the English alphabets was obtained as follows: Number of letters 1-4 4-7 7-10 10-13 13-16 16-19 Number of surnames  10 25 35 x 12 8 If it is given that mode of the distribution is 8, then find the missing frequency (x)

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This ques is super simple!!!
to get the answer we must no the formula of mode i.e   MODE= L+ (f1-f0/2*f1-f0-f2) * H
Here the modal class is 7-10
hence, L=7 H=3 f1=35 f2=x f0=25
and mode is given 8.
hence, 8= 7+(35-25/70-25-x)*3
=> 1= 30/45-x
=>  45-x=30
=> -x = -15
hence, x= 15  is the solution
hope u got the ans
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