AP EAMCET · Maths · Statistics
The mean deviation of the following data about its mean is
\begin{array}{|l|l|l|l|l|l|}
\hlinex_i & 5 & 15 & 25 & 35 & 45 \\
\hlinef_i & 8 & 48 & 56 & 32 & 16 \\
\hline
\end{array}
- A 25
- B 12
- C 8
- D 16
Answer & Solution
Correct Answer
(C) 8
Step-by-step Solution
Detailed explanation
\( \bar{x} = \frac{\sum f_i x_i}{\sum f_i} = \frac{(8 \times 5) + (48 \times 15) + (56 \times 25) + (32 \times 35) + (16 \times 45)}{8 + 48 + 56 + 32 + 16} \) \( = \frac{40 + 720 + 1400 + 1120 + 720}{160} = \frac{4000}{160} = 25 \)…
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