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Statistics
NCERT Exemplar
CBSE
Grade 10

Question:

Consider the following frequency distribution:
Class: 0-6, 6-12, 12-18, 18-24, 24-30
Frequency: 5, 7, 10, 8, 4
The median class is:
(a) $6-12$
(b) $12-18$
(c) $18-24$
(d) $24-30$

Step-by-Step Solution

Key Concept: $N = 34 \Rightarrow N/2 = 17$. Cumulative frequencies: 5, 12, 22, 30, 34. $cf \geq 17$ is 22, corresponding to $12-18$.
$N = 34 \Rightarrow N/2 = 17$. Cumulative frequencies: $5, 12, 22, 30, 34$. [0.5 Mark]
First $cf \geq 17$ is $22$, corresponding to class $12-18$. [0.5 Mark]

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🎯 Official CBSE Marking Scheme:
Cumulative frequency calculation: 0.5 Mark
Identifying median class $12-18$: 0.5 Mark

Correct Answer: $12-18$
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