Statistics
NCERT Exemplar Ch 12
CBSE_NCERT_EXEMPLAR_CH12
Grade 10
Question:
If the mode of a data is $18$ and mean is $24$, then its median is:
$20$
$22$
$21$
$24$
Step-by-Step Solution
Key Concept: $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$.
Stepwise Solution:
$3 \text{ Median} = 18 + 2(24) = 18 + 48 = 66$. [0.5 Mark]
$\text{Median} = \dfrac{66}{3} = 22$. [0.5 Mark]
Marking Scheme:
• Substituting into empirical relation $3 \text{ Median} = 18 + 48$: 0.5 Mark
• Solving for Median $= 22$: 0.5 Mark
Correct Answer: $22$
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