COMEDK · Maths · 29. Statistics
If the mean of \(4,7,2,8,6\) and \(k\) is 7 . Then the mean deviation from the mean of these observations is
- A 5
- B 3
- C 1
- D 8
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
The mean of the observations \(4, 7, 2, 8, 6, k\) is given as \(7\). \(\dfrac{4 + 7 + 2 + 8 + 6 + k}{6} = 7\) \(\dfrac{27 + k}{6} = 7\) \(27 + k = 42\) \(k = 42 - 27 = 15\) The observations are \(4, 7, 2, 8, 6, 15\). The mean is \(\bar{x} = 7\). The mean deviation from the mean…
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