# Basic Statistics & Probability: The Graph Is Always Greener True or False

1. These are the average temperatures (°F) in Miami, Florida, for each month of the year.

 Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec 67.2 68.5 71.7 75.2 78.7 81.4 82.6 82.8 81.9 78.3 73.6 69.1

Compare the mean and median of the data. -> The median is higher.

2. These are the average temperatures (°F) in Miami, Florida, for each month of the year.

 Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec 67.2 68.5 71.7 75.2 78.7 81.4 82.6 82.8 81.9 78.3 73.6 69.1

Find the interquartile range of this data. -> 5.7

3. These are the average temperatures (°F) in Miami, Florida, for each month of the year.

 Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec 67.2 68.5 71.7 75.2 78.7 81.4 82.6 82.8 81.9 78.3 73.6 69.1

If the average temperature in August were changed to 85°F, how would the mean and median change? -> The mean and median would stay the same.

4.

What type of correlation is depicted with this graph? -> I <3 American Idol.

5.

What age, in years, has produced the most finalists? -> 24

6. What is the mean age, in years, of the finalists?

Hint: This problem is trickier than it seems. There are four 16 year-olds, eight 17 year-olds, two 18 year-olds, and so on. -> 6.43

7. This stem-and-leaf plot shows the grade point averages of 25 random middle school students (3|0 represents a GPA of 3.0).

Find the median of the data set. -> 3.1

8. This stem-and-leaf plot shows the grade point averages of 20 random middle school students (3|0 represents a GPA of 3.0).

What percentage of the students has a GPA above 2.0? -> 88%

9. This stem-and-leaf plot shows the grade point averages of 20 random middle school students (3|0 represents a GPA of 3.0).

What is the mode of this data? -> 3.5

10. Fifteen students took a science test worth 30 points. These are their scores: 20, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 25, 29, and 30.

Which score(s) is an outlier? -> 30