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Statistics
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section C]
Find the mean of the frequency distribution shown in the given table using assumed mean method.
Find the mean of the frequency distribution shown in the given table using assumed mean method.
Step-by-Step Solution
Key Concept: Assumed mean $A = 62.5$. $\bar{x} = A + \dfrac{\sum f_i d_i}{\sum f_i}$.
Table setup with class marks $x_i$ and deviations $d_i = x_i - 62.5$. $\sum f_i = 30, \sum f_i d_i = -15$. [1.5 Marks]
$\bar{x} = 62.5 + (-15/30) = 62.5 - 0.5 = 62$. [1.5 Marks]
$\bar{x} = 62.5 + (-15/30) = 62.5 - 0.5 = 62$. [1.5 Marks]
Correct Answer: Mean $= 62$
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