Question

Find the mode of the following frequency distribution:
Class Interval: 25-30 30 - 35 35 - 40 40 - 45 45-50 50-55
Frequency: 25
34 50 42 38 14​

Answer 1

The mode is "38.33".

Step-by-step explanation:

The given table:

Class Interval: 25-30       30 - 35   35 - 40   40 - 45    45-50    50-55

Frequency:     25               34            50         42             38           14​

As the class 35-40 has maximum frequency. it is caled modal class.

∴$x_{k}$ = 35, $f_{k}$ = 50, $f_{k- 1}$ = 34, $f_{k + 1}$ = 42 and h =5

Mode = 35 + $\dfrac{50 - 34}{2(50) - 34 - 42}$ × 5

= 35 + $\dfrac{16}{24}$ × 5

= 35 + 3.33

= 38.33

Hence, the mode is 38.33.

Answer 2

Answer:

The mode is "38.33".

Step-by-step explanation:

The given table:

Class Interval: 25-30 30 - 35 35 - 40 40 - 45 45-50 50-55

Frequency: 25 34 50 42 38 14

As the class 35-40 has maximum frequency. it is caled modal class.

∴x_{k}x

k

= 35, f_{k}f

k

= 50, f_{k- 1}f

k−1

= 34, f_{k + 1}f

k+1

= 42 and h =5

Mode = 35 + \dfrac{50 - 34}{2(50) - 34 - 42}

2(50)−34−42

50−34

× 5

= 35 + \dfrac{16}{24}

24

16

× 5

= 35 + 3.33

= 38.33

Hence, the mode is 38.33.