AP Statistics Review: Chapter 1 Name: ____________________________________________________ Date: __________________________________ Multiple Choice 1. A survey typically records many variables of interest to the researchers involved. Below are some of the variables from a survey conducted by the U.S. Postal Service. Which of the variables is categorical? A)
B)
C)
D)
E)
County of Residence Number of people, both adults and children, living in the household Total household income, before taxes, in 2014 Age of respondent Number of rooms in the dwelling. 2. You measure the age (years), weight (pounds), and marital status (single, married, divorced, or widowed) of 1400 women. How many variables did you measure? A) 1 B) 2 C) 3 D) 6 E) 1400 3. Forty-­‐two students took a statistics examination having a maximum of 50 points. The score distribution is given in the following stem plot: The third quartile of the score distribution is equal to: A) 43 B) 44 C) 45 D) 24 E) 31 4. You open a package of plain M & M candies and count how many there are of each color. The distribution of the variable “candy color” is: A) The colors: Red, Orange, Green, Yellow, Brown, & Blue B) The total number of candies in the package. C) Six—the number of different colors there are in the package. D) The six different colors and how many there are of each. E) Since “color” is a categorical variable, it doesn’t have a distribution. 5. The five number summary for scores on a statistics exam is {11, 35, 61, 70, 79}. In all, 380 students took the test. About how many scored between 35 and 61? A) 25 B) 50 C) 76 D) 95 E) 190 6. In a frequency distribution of 250 scores, the mean is reported as 78 and the median as 65. One would expect this distribution to be: A)
B)
C)
D)
E)
symmetrical skewed left skewed right bimodal uniform 7. Which of the following is likely to have a mean that is smaller than the median? A) The salaries of all National Football League players B) The scores of students (out of 100 points) on a very easy exam in which most nearly perfect scores but a few do very poor. C) The prices of homes in a large city. D) The scores of students (out of 100 points) on a very difficult exam in which most get poor scores, but a few do really well. E) Amounts awarded by civil court justices. 8. The weights of the male and female students in a class are summarized in the box plots to the right. Which of the following is NOT correct? A)
B)
C)
D)
E)
About 50% of the male students have weights between 150 and 181 pounds. About 25% of the female students have weights more than 130 pounds. The median weight of male students is about 162 pounds. The mean weight of female students is about 120 pounds because of symmetry. The male students have less variability than the female students. 9. In skewed-­‐left distributions, what is most frequently the relationship of the mean, median, and mode? A)
B)
C)
D)
E)
Mean > Median > Mode Median > Mean > Mode Mode > Median > Mean Mode > Mean > Median Mean > Mode > Median 10. The following dot plots represent test scores for Mrs. Roberts’ algebra class. Which of the following statements is supported by the data? A) A period scores have more variability than B period scores. B) The median score is higher in B period. C) The distributions have the same shape – they both are skewed left. D) A period is a smarter class because the highest score was represented in that class. E) No meaningful information can be determined from a dot plot. B Period A Period Free Response 11. The two-­‐way table below shows the relationship between means of transportation to work and gender for a simple random sample of 250 working adults in the United States. Drive Alone Car Pool Public Transportation Male 113 16 6 Female 85 23 7 A) What percent of the males prefer to drive alone? B) Discuss the relationship between gender and means of transportation to work for the working adults in this sample. Provide appropriate marginal and conditional distributions to support your answer. You may choose whatever methods you want to present those distributions. 12. The body temperature of a healthy person is 97.8℉. In reality, the actual body temperature of individuals varies. Here is a back-­‐to-­‐back stemplot of the body temperatures of 130 healthy individuals (65 males and 65 females). A) Construct parallel boxplots of this data.
B) Write a few sentences comparing and contrasting the body
temperatures of adult males and females.