AP EAMCET · Maths · Statistics
The following data represents the frequency distribution of 20 observations
| \(x_i\) | 3 | 4 | 5 | 8 | 10 | 11 |
|---|---|---|---|---|---|---|
| \(f_i\) | \(\alpha+2\) | \((\alpha-1)^2\) | 4 | \(\alpha-1\) | 2 | \(\alpha\) |
- A 3
- B 2.4
- C 2.7
- D 2.9
Answer & Solution
Correct Answer
(C) 2.7
Step-by-step Solution
Detailed explanation
\(\sum f_i = 20 \Rightarrow (\alpha+2) + (\alpha-1)^2 + 4 + (\alpha-1) + 2 + \alpha = 20\) \(\alpha^2 + \alpha + 8 = 20 \Rightarrow \alpha^2 + \alpha - 12 = 0\) \((\alpha+4)(\alpha-3) = 0 \Rightarrow \alpha = 3\) (since frequencies must be non-negative)…
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