Question

The variance of a distribution is 50. What is the standard deviation, rounded to the nearest thousandth?

Answer 1

Answer: 7.071

To find the standard deviation, we need to take the square root of the variance. Given that the variance is 50, we can calculate the standard deviation as follows:

1. Take the square root of the variance:

√50 ≈ 7.071

2. Round the result to the nearest thousandth:

The standard deviation is approximately 7.071.

, the standard deviation of the distribution, rounded to the nearest thousandth is 7.071 :>

Answer 2

7.071

Explanation:

The standard deviation, of a distribution is the square root of the variance,
`\sf \sigma^2`:

`\sf S.D= √(\sigma^2)`

Therefore, if the variance of a distribution is 50, the standard deviation is:

`S.D.= √(50) \\\\ = 7.071\textsf{ (rounded to the nearest thousandth)}`

Therefore, the standard deviation of the distribution is 7.071.