Q) Find the mean and the mode of the following frequency distribution:

(Q 33 A – 30/4/2 – CBSE 2026 Question Paper)

Ans:

(i) Mean value: 

Let’s rearrange the data:

∑fx = 3340 and ∑f = 100

∴ Mean =

∴ Mean = = 33.4

Therefore, the mean value of the given grouped data is 33.4.

(ii) Mode value:.

Since the frequency is highest in “25-35”

∴ “25-35” is the modal class

Since the mode value is calculated by = L +

Here, L = 25, f₀ = 20, f₁ = 25, f₂ = 22 and h = 35-25 = 10

∴ Mode = L +

= 25 +

= 25 +  

= 25 + 6.25 = 31.25

Therefore, the mode value of the given grouped data is 31.25

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