Question

QuestionWhich of the following lists of data has the largest standard deviation? Hint: you should not need to compute the standard deviation for each list.Select the correct answer below:22, 25, 25, 22, 25, 23, 24, 23, 26, 2413, 11, 11, 11, 10, 14, 14, 10, 11, 1116, 14, 15, 15, 16, 16, 15, 16, 18, 1425, 23, 25, 22, 21, 25, 22, 21, 25, 237, 14, 19, 18, 4, 16, 5, 11, 11, 12

Answer 1

Standard deviation of a data set is the square root of the calculated variance of a set of data.

Standard deviation is a statistical measure of diversity or variability in a data set. A low standard deviation indicates that data points are generally close to the mean or the average value. A high standard deviation indicates greater variability in data points or higher dispersion from the mean.

If we have a data set that shows high variability in the data values and the range, that data set has a greater standard deviation.

From the options, the option that shows the higher variability in the numbers and a higher range is the last option.

The LAST OPTION is correct.