Question

If the classes of a frequency distribution are 1-10,11-20,21-30,.......51-60 then size of each class is
a) 9
b) 10
c) 11
d) 5.5
​

Answer 1

Answer:

Step-by-step explanation;

the class size is 10 (b)

Size of even class is

0.5 – 10.5, 10.5 – 20.5, 20.5 – 30.5, 30.5 – 40.5, 40.5 – 50.5, 50.5 – 60.5

Step-by-step explanation:

Given class interval of frequency distribution:

1 – 10, 11 – 20, 21 – 30, 31 – 40, 41 – 50, 51 – 60

(Lower limit of next class – Upper limit of previous class) ÷ 2

(11 – 10) ÷ 2

1 ÷ 2 = 0.5

(Lower limit of next class – Upper limit of previous class) ÷ 2 = 0.5

Now, subtract 0.5 from every lower limit and 0.5 from every upper limit

1 – 10   :  0.5 – 10.5

11 – 20  :  10.5 – 20.5

21 – 30 :  20.5 – 30.5

31 – 40 :  30.5 – 40.5

41 – 50 :  40.5 – 50.5

51 – 60 :  50.5 – 60.5

Therefore the size of even class is

0.5 – 10.5, 10.5 – 20.5, 20.5 – 30.5, 30.5 – 40.5, 40.5 – 50.5, 50.5 – 60.5