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Statistics
NCERT Exemplar Ch 12
CBSE_NCERT_EXEMPLAR_CH12
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:

Lower limits of the classes
Upper limits of the classes
Mid-points of the classes
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).
Stepwise Solution:

$d_i$ represents the deviation of class marks $x_i$ (mid-points) from assumed mean $a$. [1.0 Mark]

Marking Scheme:

• Selecting Mid-points of the classes: 1.0 Mark

Correct Answer: Mid-points of the classes
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