Question

Using the following set of data (the same as in the previous problem), find the sample standard deviation: 6, 12, 11, 11. The sample variance of this data set is 7.3. What is the sample standard deviation?

Answer 1

To find the sample standard deviation, calculate the square root of the sample variance, which is 7.3. The sample standard deviation is approximately 2.70 units.

Step-by-step explanation:

The question asks to find the sample standard deviation, given the sample variance of the data set. To find the sample standard deviation, take the square root of the sample variance. Since the variance given is 7.3, the calculation for the sample standard deviation will look like this: S = √7.3.

The sample standard deviation is the positive square root of the sample variance, so you only take the positive value because standard deviation cannot be negative. Calculating this, we get:

S = √7.3

S ≈ 2.70 (rounded to two decimal places).

Hence, the sample standard deviation for the data set is approximately 2.70 units.