AP EAMCET · Maths · Statistics
Variance of the following discrete frequency distribution is
| Class Interval | 0–2 | 2–4 | 4–6 | 6–8 | 8–10 |
|---|---|---|---|---|---|
| Frequency | 2 | 3 | 5 | 3 | 2 |
- A \(\frac{463}{15}\)
- B \(\frac{838}{15}\)
- C \(\frac{44}{5}\)
- D \(\frac{88}{15}\)
Answer & Solution
Correct Answer
(D) \(\frac{88}{15}\)
Step-by-step Solution
Detailed explanation
\(\sum f_i = 2+3+5+3+2 = 15\) \(\sum f_i x_i = 2(1)+3(3)+5(5)+3(7)+2(9) = 2+9+25+21+18 = 75\) \(\sum f_i x_i^2 = 2(1^2)+3(3^2)+5(5^2)+3(7^2)+2(9^2) = 2+27+125+147+162 = 463\)…
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