TS EAMCET · Maths · Probability
When a die is rolled 42 times it is so happened that a face having the digit i occurred 2i times. The mean deviation from the mean of this discrete frequency distribution is
- A \(\frac{80}{63}\)
- B \(\frac{32}{3}\)
- C \(\frac{72}{41}\)
- D \(\frac{15}{4}\)
Answer & Solution
Correct Answer
(A) \(\frac{80}{63}\)
Step-by-step Solution
Detailed explanation
\begin{array}{rllllll} \hlinex_i & 1 & 2 & 3 & 4 & 5 & 6 \\ \hlinef_i & 2 & 4 & 6 & 8 & 10 & 12 \\ \hline \operatorname{Mean}(\bar{x}) & =\frac{\sum f_i x_i}{\Sigma f_i} \\ & =\frac{2\left(1^2+2^2+3^2+\ldots+6^2\right)}{2(1+2+3+\ldots+6)} \\ & =\frac{13}{3} \end{array} Mean…
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