a. What is the standard deviation of the 'age' (v3) variable? Round it off to two decimal places (according to APA).

b. What is the variance of the 'age' (v3) variable? Round it off to two decimal places.

242.05

c. What is the mathematical relationship between the standard deviation and the variance?

The standard deviation is the root of the variance; in other words, the variance is the standard deviation squared.

Hints

1 What do we mean by the standard deviation, the variance, and the interquartile range? The standard deviation, the variance, and the interquartile range are all measures of dispersion. A measure of dispersion is a number that shows how far apart the results are from each other and/or from the mean. One number therefore serves to demonstrate the usefulness of the mean.

The standard deviation is the most commonly used measure of dispersion. It is calculated by extracting the root from the variance. The greater the standard deviation, the more the values differ from each other, and the fewer values that equal the mean there are. Analyse -> Descriptive Statistics -> Frequencies -> Statistics -> Std.deviation

Quartile: a quarter of the observations are below the first quartile; three-quarters of the observations are below the third quartile. The interquartile range is calculated as follows: the third quartile (percentile 75) minus the first quartile (percentile 25), divided by 2. Analyse -> Descriptive Statistics -> Frequencies -> Statistics -> Quartiles