Question

find the mode of the following distribution.

class: 20-25 25-30 30-35 35-40 40-45 45-50 50-55.

frequency: 10 12 8 20 11 4 5​

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.

∴ = 35,  = 50,  = 34,  = 42 and h =5

Mode = 35 +  × 5

= 35 +  × 5

= 35 + 3.33

= 38.33

Hence, the mode is 38.33.

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