JEE Mains · Maths · STD 11 - 13. statistics
The mean and variance of seven observations are \(8\) and \(16\), respectively. If \(5\) of the observations are \(2, 4, 10, 12, 14,\) then the product of the remaining two observations is
- A \(40\)
- B \(45\)
- C \(49\)
- D \(48\)
Answer & Solution
Correct Answer
(D) \(48\)
Step-by-step Solution
Detailed explanation
Let \(7\) observation be \({x_1},{x_2},{x_3},{x_4},{x_5},{x_6},{x_7}\) \(\bar x = 8 \Rightarrow \sum\limits_{i = 1}^7 {{x_i}} = 56\,\,\,\,\,\,.......\left( 1 \right)\) Also \({\sigma ^2} = 16\)…
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