Question

germaine has been caught speeding seven times on a certain road near her house. the speed limit on the road is 60km/h. her speeds the 7 times she was caught were recorded as follows, in km/h: 65, 72, 80, 69, 85, 75, 90. she received a letter from the police department saying that unless she reduces her speed to speed limit consistently, she will lose her license, over the next few months, Germaine records her speeds on that road as follows: 60, 61, 58, 64, 57, 60, and 59, should Germaine lose her license? use at least three statistics to justify your answer, and show all calculations.

Answer 1

Average speed

The average speed got reduced from 76.6 to 59.9. The speed limit is 60, which is very close to the average we have.

Median Speed

The median speed got reduced from 75 to 60, which is exactly the same as speed limit.

Outliers

Outliers are the extreme values, which are away from the whole dataset.

Here, we can see that 2 out of 7 times, Germaineexceeded the speed limit, which are 61 and 64. She was on warning, she should be punished and her license should be suspended.