Find the mode of the following frequency distribution

Asked by admin @ 25/08/2021 in Math viewed by 299 People

Find the mode of the following frequency distribution:

Class Interval: 25-30 30 - 35 35 - 40 40 - 45 45-50 50-55Frequency: 2534 50 42 38 14

Answered by admin @ 25/08/2021

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.

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