ExamBro
ExamBro
AP EAMCET · Maths · Statistics

If the variance of the distribution
\begin{array}{cccccccc}
\hline \boldsymbol{x}_{\boldsymbol{i}} & 4 & 8 & 11 & 17 & 20 & 24 & 32 \\
\hline \boldsymbol{f}_{\boldsymbol{i}} & 3 & 5 & 9 & 5 & 4 & 3 & 1
\end{array}
is 45.8 , then the variance of the distribution.
\begin{array}{llllllll}
\hline \boldsymbol{x}_{\boldsymbol{i}} & 10 & 18 & 24 & 36 & 42 & 50 & 66 \\
\hline \boldsymbol{f}_{\boldsymbol{i}} & 3 & 5 & 9 & 5 & 4 & 3 & 1 \\
\hline
\end{array}

  1. A 93.6
  2. B \(\sqrt{93.9}\)
  3. C 183.2
  4. D \(\sqrt{183.2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) 183.2

Step-by-step Solution

Detailed explanation

Mean of given observation \(\left(x_i\right)\) is \[ \begin{array}{r} \frac{(4 \times 3)+(8 \times 5)+(11 \times 9)+(17 \times 5)+(20 \times 4)}{+(24 \times 3)+(32 \times 1)} \\ =\frac{420}{30}=14 \end{array} \] So,…