Question

Which answer best describes a standard deviation? Read all answers and then choose the answer that is most complete and accurate. The standard deviation is the square root of the corresponding variance. The standard deviation is the average amount that scores in a distribution deviate from the mean of that distribution. The standard deviation is a measure of variability. All of the answers above correctly describe the standard deviation. None of the answers above correctly describe the standard deviation.

Answer 1

Answer:

The correct answer is All of the answers above correctly describe the standard deviation.

Step-by-step explanation:

From the information given:

"The standard deviation is the square root of the corresponding variance" this statement is true because this is the way is defined $\sigma = \sqrt {\mu _2 }$ where $\mu _2$ is the variance.

The statement "The standard deviation is the average amount that scores in a distribution deviate from the mean of that distribution." is true because it measures the spread of data about the mean value and this is the way is defined $\sigma = \sqrt{\frac{\sum{(x-\mu)^2}}{N}} \nonumber$ where $\mu$ is the mean, x denotes each value of data and N is the set of values.

"The standard deviation is a measure of variability."  is true because the standard deviation measures the spread of a data distribution and it is a useful measure of variability when the distribution is normal or approximately normal.

Therefore the correct answer is All of the answers above correctly describe the standard deviation.