Q1. Use the frequency table. Find the probability that a person goes to the movies at least 8 times a month. Round to the nearest thousandth.
Trips to the Movies
|
Number of Movies
|
Number of Moviegoers
|
|
More than 7 movies per month
|
123
|
|
5-7 movies per month
|
133
|
|
2-4 movies per month
|
265
|
|
Less than 2 movies per month
|
226
|
|
Total
|
747
|
Q2. The table shows the results of a survey of college students. Find the probability that a student is taking a humanities class, given the student is male. Round to the nearest thousandth.
First Class of the Day for College Students
|
|
Male
|
Female
|
|
Humanities
|
70
|
80
|
|
Science
|
50
|
80
|
|
Other
|
60
|
70
|
Find the mean, median, and mode of the data set. Round to the nearest tenth.
Q3. Test scores on a math exam:
88, 89, 65, 62, 83, 63, 84, 63, 74, 64, 71, 82, 66, 88, 79, 60, 86, 63, 93, 99, 60, 85
Make a box-and-whisker plot of the data.
Q4. Average daily temperatures in Tucson, Arizona, in December:
67, 57, 52, 51, 64, 58, 67, 58, 55, 59, 66, 50, 57, 62, 58, 50, 58, 50, 60, 63
Find the values of the 30th and 90th percentiles of the data.
Q5. 18, 9, 7, 5, 11, 7, 17, 20, 19, 2, 17, 12, 5, 1, 13, 12, 11, 15, 16, 20
Find the outlier in the set of data.
Q6. 17, 13, 16, 18, 38, 14, 21, 24
Find the range and interquartile range of the data. Round to the nearest tenth.
Q7. 44, 45, 38, 8, 40, 35, 10, 55, 23, 36
Find the mean and standard deviation of the of data. Round to the nearest tenth.
Q8. 62, 37, 48, 67, 44, 58, 47, 47
Q9. Susan keeps track of the number of tickets sold for each play presented at The Community Theater. Within how many standard deviations of the mean do all the values fall?
137, 134, 91, 61, 150, 155, 110, 148, 90, 169, 67, 61
Q10. In a sample of 138 teenagers, 38 have never been to a live concert. Find the sample proportion for those who have never been to a live conceit.
Q11. A set of data with a mean of 56 and a standard deviation of 3.3 is normally distributed. Find the values that are 2 standard deviations from the mean.
Q12. A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 7 green ribbons. Lila selects a ribbon at random, and then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that Lila selects a black ribbon and Jessica selects a green ribbon? Express your answer as a fraction in simplest form.
Q13. Make a box-and-whisker plot of the data. Find the interquartile range.
7, 9, 11, 12, 13, 15, 12, 17, 18, 12, 9, 7, 12, 15, 18, 10
Q14. The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64 and a standard deviation of 4. What percent of bags of cookies will contain between 60 and 68 cookies?
Q15. The scores on an exam are normally distributed, with a mean of 77 and a standard deviation of 10. What percent of the scores are greater than 87?