if the mode of the following data is 32 5 and the sum of frequencies is 70,then find the missing - Maths - Statistics

Question

if the mode of the following data is 32 5 and the sum of
frequencies is 70,then find the missing frequencies x and y

class frequency

25-30 x

30-35 22

35-40 y

40-45 8

45-50 7

​50-55 3

55-60 2

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

Sum of frequencies=7042+x+y=70x+y=28   
 1Here mode=32
5 ,So modal class is 30-35l=30 , f1=22 , f0=x , f2=yh=5Now,Mode = l+ f1-f02f1-f0-f2×h32
5=30+22-x44-x-y×52
55=22-x44-x-y44-x-y=44-2xx-y=0Adding 1 and 2 , we get2x=28x=14Substituing the value of x in 1 , we get14+y=28y=14
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if the mode of the following data is 32.5 and the sum of frequencies is 70,then find the missing frequencies x and y class frequency 25-30 x 30-35 22 35-40 y 40-45 8 45-50 7 ​50-55 3 55-60 2

if the mode of the following data is 32.5 and the sum of frequencies is 70,then find the missing frequencies x and y

class frequency

25-30 x

30-35 22

35-40 y

40-45 8

45-50 7

50-55 3

55-60 2