Question

5 from unit 1, lesson 14 here are some statistics for the number of minutes it took each of 9 members of the track team to run 1 mile. when a tenth time is added to the list, the standard deviation increases to 1.5. is the tenth time likely an outlier? explain your reasoning. mean: 7.3 median: 7.1 standard deviation: 1.1 q1: 6.8 q3: 7.4

Explanation:

Step1: Understand standard - deviation concept

Standard deviation measures data spread.

Step2: Analyze the change

Initial std dev is 1.1, new is 1.5.

Step3: Relate to outliers

A significant increase in std dev suggests the new data point (tenth time) is far from the mean, which is characteristic of an outlier.

Answer:

Yes, the tenth time is likely an outlier.