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

(Q 35 A – 30/5/2 – CBSE 2026 Question Paper)
Ans:
(i) Mean value:Â
Let’s rearrange the data:

Now, from this improved table, we have:
∑fx = 60500 and ∑f = 110
∴ Mean = ![]()
∴ Mean =
= 550
Therefore, the mean value of the given grouped data is 550
(ii) Mode value:.
Since the frequency is highest in “550-600”
∴ “550-600” is the modal class
Since the mode value is calculated by = L +
h
Here, L = 550, f0 = 20, f1 = 23, f2 = 22 and h = 600-550 = 50
∴ Mode = 550 +
(50)
= 550 +
(50)
= 550 + 37.5 = 587.5
Therefore, the mode value of the given grouped data is 587.5
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