Question

If mode of the following data is 32.5 and sum of frequencies is 71, then find the missing frequencies x and y.

Answer 1

Answer:

X = 13 and Y = 16

Step-by-step explanation:

Given:-

Mode of the given data is 32.5 and the sum of all frequencies is 71.

To find:-

Find the values of the missing terms x and y ?

Solution:-

From the given table :

Mode is 32.5 ,so modal class is 29-34

Lower boundary of the modal class (l)

=(29+30)/2

=59/2

l=29.5

and

Sum of all frequencies is 71

=>42+x+y=71

=>x+y=71-42

=>x+y=29

we know that

Mode = l +[(f1-f0)/(2f1-f0-f2)]×h

See the above attachment for the solution

x=13 and y=16

Answer:-

The values of the missing terms are x=13 and y=16

Used formula:-

• Mode = l +[(f1-f0)/(2f1-f0-f2)]×h

Where,

l=lower boundary of the modal class

f1 =frequency of the modal class

f0=frequency of the preceding class to the modal class

f2=frequency of the succeeding class to the modal class

h=class size