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AP EAMCET · Maths · Statistics

\(\begin{aligned}
&\text { Mean deviation about the mean for the following data is }\\
&\begin{array}{|l|c|c|c|c|c|}
\hline \text { Class Interval } & 0-6 & 6-12 & 12-18 & 18-24 & 24-30 \\
\hline \text { Frequency } & 1 & 2 & 3 & 2 & 1 \\
\hline
\end{array}
\end{aligned}\)

  1. A 5
  2. B \(\frac{16}{3}\)
  3. C 6
  4. D \(\frac{19}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{16}{3}\)

Step-by-step Solution

Detailed explanation

Step 1: Find the class midpoints \(\left(x_i\right)\) : The midpoint for a class interval is calculated as: \(x_i=\frac{\text { Lower limit }+ \text { Upper limit }}{2}\) - \(x_1=\frac{0+6}{2}=3\) - \(x_2=\frac{6+12}{2}=9\) - \(x_3=\frac{12+18}{2}=15\) -…
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