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 110.5° is added to the data, how does the mean change and by how much?

The mean increases by 2.3°.
The mean increases by 2.7°.
The means stays at 80.4°.
The mean stays at 82.7°.

Answer 1

The mean increases by 2.3°

Explanation:

Answer 2

The mean increases by 2.3°

Hope this helps :)

Explanation:

To find the mean, or average, we simply add up all the values and then divide the sum by the number of values.

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

965/12 = ~80.4

After adding 110.5 to 965, we have to divide by 13 because another value has been added:

965 + 110.5 = 1075.5

1075.5/13 = ~82.7

If we subtract the final mean by the initial mean, we can find the difference, or change, in the numbers:

82.7 - 80.4 = 2.3

The mean increases by 2.3°

(~ means approximately btw)