Question

3. Given the three data sets below, choose (and circle) the data set with the largest

standard deviation.
(a) (5,6,7,8,9} (b) {7,7,7,7,7) (c) {1,4,7, 10, 13)

Answer 1

Data set (c) {1,4,7,10,13} has the largest standard deviation, as it has the greatest spread of numbers compared to the other sets.

The question asks to choose the data set with the largest standard deviation from the three given options: (a) (5,6,7,8,9), (b) {7,7,7,7,7), and (c) {1,4,7,10,13). The standard deviation is a measure of how spread out the numbers are in a data set.

Looking at the data sets, set (a) has numbers that are evenly distributed around the mean; set (b) has no spread at all since all the numbers are the same, resulting in a standard deviation of zero; and set (c) has numbers that are more spread out. Since set (c) has the greatest variation in data values, it will have the largest standard deviation.

Therefore, the correct answer is data set (c) {1,4,7,10,13}.