Statistics
NCERT Exemplar Ch 12
CBSE_NCERT_EXEMPLAR_CH12
Grade 10
Question:
For a certain frequency distribution, the values of Mean and Mode are $35.4$ and $32.1$ respectively. Find the value of Median.
Step-by-Step Solution
Key Concept: $3 \text{ Median} = \text{Mode} + 2 \text{ Mean}$.
Stepwise Solution:
$3 \text{ Median} = 32.1 + 2(35.4) = 32.1 + 70.8 = 102.9$. [1.0 Mark]
$\text{Median} = \dfrac{102.9}{3} = 34.3$. [1.0 Mark]
Marking Scheme:
• Substituting into empirical formula $3 \text{ Median} = 32.1 + 70.8$: 1.0 Mark
• Calculating Median $= 34.3$: 1.0 Mark
Correct Answer:
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