Math Cafe Statistics and Probability

Suppose you tossed the dimes 120 times. How many times would you expect an outcome of “tail and tail”?

(Show your math work)

• 24

• 5

• 25

• 60

What is the probability that Bill will get the next arrow in the inner OR outer ring?

• 0.297

• 0.423

• 0.720

• 0.126

A random sample of 50 women was surveyed to find their favorite sport. Of the women surveyed, 15 chose basketball, 10 chose baseball, and 25 chose football. How many of the 720 women would choose basketball as their favorite sport?

Select the math work that will help you solve. Copy on your paper.

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There are 900 students in your school. You ask 150 randomly chosen students how much time they spend doing homework on a typical day. The results are shown. Predict the number of students in your school who, on a typical day, spend an hour? (Show your math work. Use #13 as your guide)

• 36

• 54

• 324

• 2500

The test scores of two students are shown. Solve for the mean, median, and mode of Student B.

(Use your math work for Student A as your guide)

• I completed the math work on my paper. They are labeled completely.

• I did not show my math work on my paper.

The table shows the number of miles Liz and Sara rode their bikes during five randomly selected days. Which is the best comparative statement about the number of miles each girl rides on a typical day?

(Show the needed math work: mean and range of each girl)

• On a typical day, Liz rides farther than Sara because Liz’s mean is greater than Sara’s mean

• On a typical day, Sara rides farther than Liz because Sara’s mean is greater than Liz’s mean.

• On a typical day, Liz rides farther than Sara because Liz’s range is greater than Sara’s range.

• On a typical day, Sara rides farther than Liz because Sara’s range is greater than Liz’s range.

The manager recorded the numbers of bags of potatoes sold at each of two stores over the last month. The box-and-whisker plot shows the summary of the data. Based on the median, which store is selling more potatoes? (Write the median of each store on your paper)

• Store S

• Store V

• The medians of the 2 stores are equal.

Which store has a more varied data? (Show the needed math work) Range = Highest Value − Lowest Value Interquartile Range = Quartile 3 − Quartile 1

• Store V, based on RANGE

• Store S, based on INTERQUARTILE RANGE

• Both stores have equally varied data, based on RANGE

• Both stores have equally varied data, based on INTERQUARTILE RANGE

Cole spun the spinner twice. What’s the probability of the spinner landing on the 3 twice in a row?

• 1/4

• 1/36

• 1/6

• 2/3

The graph compares Homework Time versus TV Time for a group of high school students.What is the interquartile range of homework time?

• 40 minutes

• 190 minutes

• 28 minutes

• 12 minutes