Question

The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 101° is added to the data, how does the mean change?
The mean decreases by 1.6°.
The mean increases by 1.6°.
The mean decreases by 8.4°.
The mean increases by 8.4°.

Answer 1

Answer: The mean increases by 1.6°.

Explanation:

The mean is the average or the sum of all the data divided by the amount of data.

58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 = 965

There are 12 data points so...

965 / 12 ≈ 80.4

To find the new mean add 101 to 965, then divide by 13.

965 + 101 = 1066

1066 / 13 = 82

The mean increases by 1.6°.

Hope this helps!