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JEE Main 2023Mathematics Probability & Statistics

hard
mcq
2023
Official previous-year question

Verified 30 May 2026.

Question

The variance of the data $2, 4, 6, 8, 10$ is:

Options

  1. A

    $8$

  2. B

    $10$

  3. C

    $6$

  4. D

    $4$

Solution

Mean $= \frac{30}{5} = 6$

$$\sigma^2 = \frac{\sum(x_i - \bar{x})^2}{n} = \frac{16+4+0+4+16}{5} = \frac{40}{5} = 8$$

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