Question

calculate the value of mode for the following frequency distribution :

class frequency

1-4 2

5-8 5

9-12 8

13-16 9

17- 20 12

21-24 14

25-28 14

29- 32 15

33-36 11

37-40 13

Answer 1

29.8 is it correct. Pls tell

Answer 2

The value of mode is 29.6.

Step-by-step explanation:

The given table:

Class       Frequency

1-4          2

5-8         5

9-12       8

13-16      9

17-20     12

21-24     14

25-28     14

29-32     15

33-36     11

Here, the maximum class frequency is 15 and corresponding to this frequency is 29-32.

The modal class = 29 - 32

∴ Mode $=x_{k} +\dfrac{f_{k}-f_{k-1}}{2f_{k}-f_{k-1}-f_{k+1}} \times h$

h = 3

$=29+\dfrac{15-14}{2(15)-14-11} \times 3$

$=29+\dfrac{1}{30-25} \times 3$

$=29+\dfrac{3}{5} =29+0.6$

= 29.6

Hence,  the value of mode is 29.6.