JEE Mains · Maths · STD 11 - 13. statistics
The variance \(\sigma^2\) of the data is ...........
| \(x_i\) | \(0\) | \(1\) | \(5\) | \(6\) | \(10\) | \(12\) | \(17\) |
| \(f_i\) | \(3\) | \(2\) | \(3\) | \(2\) | \(6\) | \(3\) | \(3\) |
- A \(28\)
- B \(29\)
- C \(27\)
- D \(25\)
Answer & Solution
Correct Answer
(B) \(29\)
Step-by-step Solution
Detailed explanation
\(x_i\) \(f_i\) \(f_ix_i\) \(f_ix_i^2\) \(0\) \(3\) \(0\) \(0\) \(1\) \(2\) \(2\) \(2\) \(5\) \(3\) \(15\) \(75\) \(6\) \(2\) \(12\) \(72\) \(10\) \(6\) \(60\) \(600\) \(12\) \(3\) \(36\) \(432\) \(17\) \(3\) \(51\) \(867\) \(\sum f_i = 22\) \(\sum f_ix_i^2 = 2048\)…
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