AP EAMCET · Maths · Statistics
The mean of 5 observations is 15 and variance is 9. If two observations having values -5 and 13 are combined with these observations, then what will be the new variance?
- A \(\frac{6259}{7}\)
- B \(\frac{6259}{49}\)
- C \(\frac{2659}{7}\)
- D \(\frac{2659}{49}\)
Answer & Solution
Correct Answer
(D) \(\frac{2659}{49}\)
Step-by-step Solution
Detailed explanation
Let the observations are \(x_1, x_2, x_3, x_4, x_5\), so the mean \(\bar{x}=\frac{x_1+x_2+x_3+x_4+x_5}{5}=15\) (given) \(\Rightarrow \quad x_1+x_2+x_3+x_4+x_5=75\) ...(i) and variance…
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