Question

Find the mode of following distribution:
Mark 15 16 17 18 19
Frequency 2 3 5 1 4

Answer 1

The mode is "17.333".

Step-by-step explanation:

The below table

Mark               15    16    17    18    19

Frequency      2     3      5     1        4

As the class 17 has maximum frequency. it is caled modal class.

∴$x_{k} = 17, f_{k} = 5, f_{k- 1} = 3, f_{k + 1} = 1$and h = 1

Mode = 17 +$\dfrac{5 - 3}{2(5) - 3 - 1}\times\ 1$

= 17 + $\dfrac{2}{6}\times\ 1$

= 17 + 0.33  

= 17.333

Hence, the mode is 17.333.