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Statistics
NCERT Exemplar
CBSE
Grade 10

Question:

In the formula $\bar{x} = a + \dfrac{\sum f_i d_i}{\sum f_i}$, for finding the mean of grouped data, $d_i$ are deviations from $a$ of:
(a) Lower limits of the classes
(b) Upper limits of the classes
(c) Mid-points of the classes
(d) Frequencies of the class marks

Step-by-Step Solution

Key Concept: $d_i = x_i - a$, where $x_i$ is the class mark (mid-point of class).
$d_i$ represents the deviation of class marks $x_i$ (mid-points) from assumed mean $a$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Selecting Mid-points of the classes: 1.0 Mark

Correct Answer: Mid-points of the classes
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