The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set.

12,

18,

23,

14,

17,

16,

19,

16,

13,

15

Range:

Mean:

Variance:

Standard Deviation:

Question #2:

Compare the (i) (ii) (iii) O three data sets on the right. 0000000 90900 00900 9090 0900 90 0 11 121314151617 11 121314151617 11 121314151617 (a) Which data set has the greatest sample standard deviation? O A. Data set (ii), because it has two entries that are far away from the mean. O B. Data set (iii), because it has more entries that are farther away from the mean. O C. Data set (i), because it has more entries that are close to the mean. Which data set has the least sample standard deviation? O A. Data set (iii), because it has more entries that are farther away from the mean. O B. Data set (ii), because it has less entries that are farther away from the mean. O C. Data set (i), because it has more entries that are close to the mean. (b) How are the data sets the same? How do they differ? O A. The three data sets have the same mode but have different standard deviations and means. O B. The three data sets have the same mean, median and mode but have different standard deviations. O C. The three data sets have the same standard deviations but have different means. O D. The three data sets have the same mean and mode but have different medians and standard deviations