JEE Mains · Maths · STD 11 - 13. statistics
The mean of \(5\) observations is \(5\) and their variance is \(124\) . If three of the observations are \(1, 2\) and \(6\); then the mean deviation from the mean of the data is
- A \(2.5\)
- B \(2.6\)
- C \(2.8\)
- D \(2.4\)
Answer & Solution
Correct Answer
(C) \(2.8\)
Step-by-step Solution
Detailed explanation
\(n = 5\) \(\bar x = 5\) variance \(=124\) \({x_1} = 1,{x_2} = 2,{x_3} = 6\) \(\bar x = 5\) \(\frac{{{x_1} + {x_2} + {x_3} + {x_4} + {x_5}}}{5} = 5\) \( \Rightarrow {x_4} + {x_5} + 9 = 25\) \( \Rightarrow {x_4} + {x_5} = 16\) \( \Rightarrow {x_4} + {x_5} + 10 - 10 = 16\)…
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