Question

income of familie in a locality are given.find the mode of the data income (in) 1-200 201-400 401-600 601-800 801-1000 number of families 7 10 16 12 3

Answer 1

first you need to make correct class interval that will be
Subtract 0.5 from lower limit and add 0.5 to upper limit
0.5—200.5
200.5—400.5
400.5—600.5
600.5—800.5
800.5—1000.5
now see the frequency given for each column:
formula of mode=L+{f1-f0/2(f1)-f2-f0}×h
f1= highest frequency
f0= the frequency above f1
f2= the frequency below f1
L= lower limit of the class interval of f1
h=difference between the lower and upper limit
put values:–
answer in the pic .

Answer 2

Answer:

first you need to make correct class interval that will be

Subtract 0.5 from lower limit and add 0.5 to upper limit

0.5—200.5

200.5—400.5

400.5—600.5

600.5—800.5

800.5—1000.5

now see the frequency given for each column:

formula of mode=L+{f1-f0/2(f1)-f2-f0}×h

f1= highest frequency

f0= the frequency above f1

f2= the frequency below f1

L= lower limit of the class interval of f1

h=difference between the lower and upper limit

put values:–

answer in the pic .