Find the mean, median and mode from the following table:

Now,

⇒x̄ = 24.5 + 1.99

⇒x̄ = 26.5

Now, we calculate the median

We have n = 274

So,

The cumulative Frequency just greater than is 152 then the median class is 21 – 28 such that

the lower limit (l) = 21

cumulative frequency of the class preceding 21 – 28 (cf) = 80

frequency of the median class 21-28 = 72,

class size (h) = 7

Using the formula,,we have

= 21 + 5.57

= 26.57

Now, we have to find the mode

Here, the maximum class frequency is 72, and the class corresponding to this frequency is 21 – 28.

So, the modal class is 21 – 28.

Now, modal class = 21 – 28, lower limit (l) of modal class = 21, class size(h) = 7

frequency (f₁) of the modal class = 72

frequency (f₀) of class preceding the modal class = 36

frequency (f₂) of class succeeding the modal class = 51

Now, let us substitute these values in the formula

= 21 + 4.42

= 25.42