Suppose that a police officer measured the speed of cars on a highway for an hour. The average speed of the cars was 71.3 and th

Question

3 years ago

5

Suppose that a police officer measured the speed of cars on a highway for an hour. The average speed of the cars was 71.3 and th

e standard deviation was 5.23. However, since the radar gun was biased, 4.9 is added to every observation in the dataset. What will the new standard deviation be?

Mathematics

1 answer:

ad-work [718] · Answer 1 · 2022-04-19T14:45:35+03:00

ad-work [718]3 years ago

6 0

Answer:

The new mean is 76.2

Step-by-step explanation:

Given

Old mean = 71.3

Every observation is increased by 4.9.

Let the data set has N entries, then

The new mean would be

(71.3 *N + 4.9*N)/N

The new mean = 71.3 + 4.9 = 76.2