Int Math 1 Statistic and Probability. Name:

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1 Name: Int Math 1 1. Juan wants to rent a house. He gathers data on many similar houses. The distance from the center of the city, x, and the monthly rent for each house, y, are shown in the scatter plot. Juan models the data with a linear equation. Based on the scatter plot, what could the number 1275 represent in his equation? A. The estimated rent for a house in the center of the city. B. The estimated minimum rent for a house far from the center of the city. C. The estimated change in rent for each additional mile from the center of the city. D. The estimated change in distance from the center of the city for each dollar change in rent. 2. An analyst researches the relationship between different energy sources in each state for The data in the table show the number of states that use coal and nuclear power as an energy source. Nuclear Given that a state does not use nuclear Yes No power, what percentage of those states use coal? Yes Coal No 2 12 %

2 Int Math 1 Name: 3. A group of students measures the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform an analysis of the data set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set. A. mean of the time B. mean of the distance C. median of the time D. median of the distance E. range of the time F. range of the distance Time (seconds) Distance (meters) Ms. Musto opened a new coffee shop. She recorded the number of customers she served between opening and noon for the first 20 days of business. Her results are shown on the graph. Which line best fits the data? A. y = 3x + 10 B. y = 2x + 20 C. y = 3x + 30 D. y = x + 20

3 Int Math 1 Name: 5. A linear model shows that the relationship between the number of grocery items purchased and the total cost of the grocery bill has a correlation coefficient of Which statement about the variables is true? A. Purchasing more items causes a higher cost of the grocery bill. B. If a grocery bill has a higher cost, then more items must have been purchased. C. There is no relationship between the number of items purchased and the total cost of the grocery bill. D. There is a strong relationship between the number of items purchased and the total cost of the grocery bill. 6. Given the parallel box plots shown below, which of the following statements is true? A. Data set B is skewed toward the larger values. B. Data set B is skewed toward the smaller values. C. Data set B is symmetric. D. Data set A is skewed toward the larger values. 7. Use the data in the following table, which shows the results of a survey of 900 students about their preference for type of dress code for the fall dance. How many of the students prefer a casual or semiformal dress code for the fall dance given that they are juniors? A. 200 B. 250 C. 240 D. 690

4 Int Math 1 Name: 8. A science teacher allows her students to decide whether to use the mean, median, or mode of their test scores to determine their semester grade. One student determined that she will receive her highest semester percentage if she uses the median. Which test scores are hers? A. 80, 81, 80, 87, 82 B. 67, 70, 65, 80, 81 C. 91, 86, 87, 85, 91 D. 60, 80, 75, 90, The scatter plot shows the number of CDs that Disc-O CD factory produced in different months. If you fit a linear function to model the relationship between the number of CDs produced per month, which of the following months would have a negative residual? A. May B. March C. April D. February 10. A teacher allows her students to decide whether to use the mean, median, or mode to determine their test averages. One student determined that he will receive the highest test average if he uses the mean. Which test scores are his? A. 81, 85, 73, 82, 76 B. 72, 81, 95, 72, 85 C. 92, 83, 76, 76, 93 D. 81, 85, 70, 72, 85

5 Name: 11. Int Math 1 Which of the following correlation coefficients would best describe the linear relationship between the two variables and why? A. r =.23, because the scatterplot shows a weak positive linear B. r =.86, because the scatterplot shows a fairly strong positive linear C. r =.86, because the scatterplot shows a fairly strong negative linear D. r =.23, because the scatterplot shows a weak negative linear 12. Of the following measures: mean, median, IQR, and standard deviation, which are resistant to outliers? A. mean and standard deviation B. mean and median C. None of the choices are resistant to outliers. D. median and interquartile range 13. A study was done to see if there is a relationship between the outside temperature and number of colds. They found that the correlation coefficient was.6. What can we conclude based on this study? A. As the outside temperature increases, the number of colds increases at a moderate rate showing a moderate negative linear B. As the outside temperature decreases, the number of colds increases at a moderate rate showing that colder temperatures cause the number of colds to increase. C. As the outside temperature decreases, the number of colds increases at a moderate rate showing a moderate negative linear D. As the outside temperature increases, the number of colds increases at a moderate rate showing a moderate positive linear

6 Name: 14. Consider the two data sets given below. Data Set A: {1, 4, 6, 8, 11} and Data Set B: {3, 5, 7, 9, 11} Which of the following statements is true? Int Math 1 A. Data Set A has a larger mean and a smaller standard deviation than B. Data Set A has the same standard deviation and a smaller mean than C. Data Set A has a smaller mean and a larger standard deviation than D. Data Set A has the same mean and a larger standard deviation than 15. The frequency table shows the number of cars washed at the Brite & Shiny car wash this week. On how many days during the week were at least 20 cars washed? A. 6 days B. 5 days C. 3 days D. 4 days