Basic Statistics & Probability True or False

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

JanFebMarAprMayJunJulAugSeptOctNovDec
67.268.571.775.278.781.482.682.881.978.373.669.1

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.

JanFebMarAprMayJunJulAugSeptOctNovDec
67.268.571.775.278.781.482.682.881.978.373.669.1

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.

JanFebMarAprMayJunJulAugSeptOctNovDec
67.268.571.775.278.781.482.682.881.978.373.669.1

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

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