Exam: practice test 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Exam: practice test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) Using the information in the table on home sale prices in the city of Summerhill for the month of June, determine the width of each class. ) Class Limits (Sale price in thousands) (No. of homes sold) C) 0 D) 6 ) Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the class midpoint for class ) Class Limits (Sale price in thousands) (No. of homes sold) C) 0. D) 0.0 ) Using the information in the table on home sale prices in the city of Summerhill for the month of June, find the class boundaries for class ) Class Limits (Sale price in thousands) (No. of homes sold) , , 0.9 C) 9.90, 0.9 D) 9.9, 0.9

2 Construct the relative frequency distribution that corresponds to the given frequency distribution. ) Incomes >600 C) Incomes % % % % >600.8% Incomes 0-00.% 0-00.% 0-00.% % >600.9% D) Incomes % % 0-00.% % >600.9% Incomes % % 0-00.% % > % ) Construct the cumulative frequency distribution that corresponds to the given frequency distribution. ) ) C) D)

3 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the given data to construct a frequency distribution. 6) The following figures represent Jennifer's monthly charges for long distance telephone calls for the past twelve months. 6) Construct a frequency table with classes. Charges MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between and 0. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. ) Approximately what percentage of the people aged -0 had a systolic blood pressure reading between 0 and 9 inclusive? % 0.% C) 0% D).% 8) Approximately what percentage of the people aged -0 had a systolic blood pressure reading between 0 and 9 inclusive? % 89% C) 9% D) 9% ) 8) 9) What common class width was used to construct the frequency distribution? 9) 0 C) 9 D) 00

4 0) Identify the center of the third class. 0) 0 C) 0 D) Use the circle graph to solve the problem. ) The pie chart shows the percent of the total population of,00 of Springfield living in the given types of housing. Round your result to the nearest whole number. ) 9% % % 9% 6% Find the number of people who live in townhouses. 9,0 people 9 people C) 66 people D) 896 people Use the data to create a stemplot. ) The following data show the number of laps run by each participant in a marathon ) Find the mean for the given sample data. ) Six college buddies bought each other Christmas gifts. They spent: $. $. $. $0. $6. $9. What was the mean amount spent? Round your answer to the nearest cent. $0.8 $6. C) $.8 D) $8.8 ) Find the median for the given sample data. ) A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. 8,, 8, 9, 9, 6, Find the median number of newspapers sold. 9 newspapers 8 newspapers C) 8 newspapers D) newspapers ) Find the mode(s) for the given sample data. ) The weights (in ounces) of different apples are shown below None. C).0 D).,.6 )

5 Find the midrange for the given sample data. 6) C) D) 8 6) Find the mean of the data summarized in the given frequency distribution. ) A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. ) Salary ($) Employees,00-0, ,00-,000,00-0,000 0,00-,000,00-0,000 8 $6,. $9,. C) $,00 D) $,9.0 Find the range for the given data. 8) Rich Borne is currently taking Chemistry 0. On the five laboratory assignments for the quarter, he got the following scores: 9 Compute the range. 8 C) D) 8) Find the variance for the given data. Round your answer to one more decimal place than the original data. 9).8,.9, 8.8,., and. 9) C). D) 0.8 Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 0) Christine is currently taking college astronomy. The instructor often gives quizzes. On the past 0) seven quizzes, Christine got the following scores: Compute the standard deviation s. 0,6 8.6 C).9 D) 8 Find the standard deviation of the data summarized in the given frequency distribution. ) The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The frequency distribution below summarizes the results. Find the standard deviation. Round your answer to one decimal place. ) Waiting time (minutes) Number of customer C).0 D).

6 Solve the problem. ) The race speeds for the top eight cars in a 00-mile race are listed below. Use the range rule of thumb to find the standard deviation. Round results to the nearest tenth C) 6.8 D). ) The ages of the members of a gym have a mean of 0 years and a standard deviation of. Use the range rule of thumb to estimate the minimum and maximum "usual" ages. years, years years, 6 years C) years, 66 years D) 6 years, 68 years ) ) Use the empirical rule to solve the problem. ) The systolic blood pressure of 8-year-old women is normally distributed with a mean of 0 mmhg and a standard deviation of mmhg. What percentage of 8-year-old women have a systolic blood pressure between 96 mmhg and mmhg? 99.% 68% C) 99.99% D) 9% ) Solve the problem. ) The ages of the members of a gym have a mean of years and a standard deviation of 0 years. What can you conclude from Chebyshev's theorem about the percentage of gym members aged between and 6? The percentage is approximately.% The percentage is at most.6% C) The percentage is at least.6% D) The percentage is at least.% ) Solve the problem. Round results to the nearest hundredth. 6) The mean of a set of data is. and its standard deviation is.9. Find the z score for a value of C) 0. D).0 6) Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than -.00 or greater than.00. Round the z-score to the nearest tenth if necessary. ) A body temperature of 96.8 F given that human body temperatures have a mean of 98.0 F and a ) standard deviation of ; unusual -.; not unusual C) -.; not ususal D).; unusual Determine which score corresponds to the higher relative position. 8) Which score has a higher relative position, a score of.8 on a test for which x = 8 and s = 9, or a score of 0 on a test for which x = and s =? A score of 0 A score of.8 C) Both scores have the same relative position. 8) Find the percentile for the data point. 9) Data set: ; data point 0 C) 0 D) 9) 6

7 Find the indicated measure. 0) Use the given sample data to find Q C) 6.0 D).0 ) The test scores of 0 students are listed below. Find P C) D) 0) ) Provide an appropriate response. ) If all the values in a data set are converted to z-scores, the shape of the distribution of the z-scores will be bell-shaped regardless of the distribution of the original data. True or false? True False ) For data which are heavily skewed to the right, P0 is likely to be closer to the median than P90. True or false? True False ) ) Construct a boxplot for the given data. Include values of the -number summary in all boxplots. ) The test scores of students are listed below. Construct a boxplot for the data set ) C) D)