AP EAMCET · Maths · Statistics
If \(a_0, a_1, \ldots, a_{11}\) are in an arithmetic progression with common difference \(d\), then their mean deviation from their arithmetic mean is
- A \(\frac{30}{11}|d|\)
- B \(2|d|\)
- C \(3|d|\)
- D \(12|d|\)
Answer & Solution
Correct Answer
(C) \(3|d|\)
Step-by-step Solution
Detailed explanation
Since, mean of given data is \(\begin{aligned} \bar{x} & =\frac{a_0+a_1+a_2+\ldots+a_{11}}{12}=\frac{a_0+a_{11}}{2} \\ & =\frac{a_1+a_{10}}{2}=\ldots \end{aligned}\) Now, deviations from their mean are…
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