Question

A weather station recorded the low temperature of each day for the first 30 days in january. the mean of those low temperatures was 20 F. The low temperature on january 31 was 30F. Which statement describes the mean of the low temperatures for the entire month of january?

a. it is exactly 20F
b. it is exactly 25 F
c. It is between 20 F and 25F
d. it is between 25F and 30F

Answer 1

To determine the mean of the low temperatures for the entire month of January, we need to consider the low temperature of January 31.

If the mean of the low temperatures for the first 30 days in January was 20F, then the total of the low temperatures for those 30 days was:

30 days x 20F = 600F

To find the mean of the low temperatures for the entire month of January, we need to include the low temperature for January 31. The total of the low temperatures for the entire month of January would be:

600F + 30F = 630F

Since there are 31 days in January, the mean of the low temperatures for the entire month of January would be:

630F / 31 days = 20.32F (rounded to two decimal places)

Therefore, the statement that describes the mean of the low temperatures for the entire month of January is:

c. It is between 20F and 25F.