Statistics
NCERT Exemplar Ch 12
CBSE_NCERT_EXEMPLAR_CH12
Grade 10
Question:
If $\sum f_i = 11$, $\sum f_i x_i = 2p + 52$ and the mean is $6$, then the value of $p$ is:
$7$
$14$
$11$
$3.5$
Step-by-Step Solution
Key Concept: Mean $\bar{x} = \dfrac{\sum f_i x_i}{\sum f_i} \Rightarrow 6 = \dfrac{2p + 52}{11}$.
Stepwise Solution:
$66 = 2p + 52 \Rightarrow 2p = 14 \Rightarrow p = 7$. [1.0 Mark]
Marking Scheme:
• Mean equation $66 = 2p + 52 \Rightarrow p = 7$: 1.0 Mark
Correct Answer: $7$
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