Question

The following chart represents the record high temperatures recorded in Phoenix for April - November. Select the answer below that best describes the mean and median of the data set ( round answers to the nearest tenth)

A. The mean is 114.5F and the median is 111.9F.
B. The mean is 121F and the median is 118.5F.
C. The mean is 111.9F and the median is 114.5F.
D. The mean is 118.5F and the median is 121F

Answer 1

The answer would be "C"

mean = 111.9F

median = 114.5F

For the mean, we would add up all the numbers in the data. In this case, we would add...

105 + 113 + 122 + 121 + 116 + 118 + 107 + 93 = 895

Next, we would divide the sum by the number of bars we have in the graph. There are 8 bars in the graph with 8 different temperatures so we would divide 895 by 8 and we will get a quotient of 111.875. 111.875 rounded to the nearest tenths place is 111.9F

For the median, we would first place all the numbers in order from least to greatest.

least to greatest- 93,105,107,113,116,118,121,122

next, we need to find the two middle numbers because there is no middle number in an even set of data.

The two middle numbers in the data set are 113 and 116. The halfway point between 113 and 116 is 114.5 so our median would be 114.5

Answer 2

C. The mean is 111.9F and the median is 114.5F.

Explanation:

The mean is 111.9 given that (105 + 113 + 122 + 121 + 116 + 118 + 107 + 93)/8 = 111.875 which can be rounded to 111.9 F.

Organizing the values we have:

[93, 105, 107, 113, 116, 118, 121, 122]

We find that the median is going to be between 113 and 116. Therefore:

(113 + 116) / 2 = 114,5

Therefore, the correct answer is option C.