Ap Statistics Ch 3 Practice Test Name Stjohns Chs

Ap Statistics Ch 3 Practice Test Name Stjohns Chs AP Statistics Chapter 3 Practice Test St Johns CHS Instructions This practice test covers the material in Chapter 3 of your AP Statistics textbook Please answer all questions to the best of your ability Show your work for all calculations You may use a calculator for this test Multiple Choice 1 Which of the following is NOT a measure of center a Mean b Median c Mode d Range e Standard Deviation 2 The following data represents the number of hours students spent studying for an exam 2 3 4 5 6 7 8 What is the median of this data set a 4 b 5 c 6 d 7 e 8 3 A distribution is skewed to the right Which of the following is true a The mean is greater than the median b The median is greater than the mean c The mean and median are equal d The mode is greater than the median e The mode is less than the mean 4 What is the standard deviation of the following data set 1 2 3 4 5 a 1 b 158 2 c 2 d 25 e 3 5 Which of the following is a measure of variability a Mean b Median c Mode d Range e Interquartile Range 6 The following data represents the heights of 10 students in inches 60 62 63 64 65 66 67 68 69 70 What is the interquartile range IQR a 4 b 5 c 6 d 7 e 8 7 A boxplot is used to visually represent which of the following a Mean and standard deviation b Median and interquartile range c Mode and range d Mean and variance e Median and standard deviation 8 Which of the following is a characteristic of a normal distribution a It is skewed to the left b It is skewed to the right c It is symmetric d It has a single peak e All of the above 9 The empirical rule states that for a normal distribution approximately what percentage of data falls within one standard deviation of the mean a 50 b 68 c 95 d 997 3 e 100 10 A zscore represents a The number of standard deviations a data point is from the mean b The probability of a data point occurring c The median of a distribution d The range of a distribution e The interquartile range of a distribution Free Response 1 The following data represents the number of books read by students in a class 5 7 8 10 12 15 18 20 22 25 a Calculate the mean and median of the data set b Create a boxplot to represent the data c Calculate the standard deviation of the data set d What is the interquartile range IQR of the data set e Describe the shape of the distribution 2 A group of students took a test The mean score was 75 and the standard deviation was 10 Assume the test scores follow a normal distribution a What percentage of students scored between 65 and 85 b What percentage of students scored above 95 c What is the score that corresponds to the 84th percentile 3 A company produces light bulbs The mean lifespan of the bulbs is 1000 hours with a standard deviation of 100 hours What is the probability that a randomly selected light bulb will last more than 1150 hours Answer Key Multiple Choice 1 d Range 2 b 5 3 a The mean is greater than the median 4 b 158 5 d Range 6 b 5 7 b Median and interquartile range 8 e All of the above 4 9 b 68 10 a The number of standard deviations a data point is from the mean Free Response 1 a Mean 145 Median 135 b Boxplot Insert a boxplot here The boxplot should show the minimum value of 5 the first quartile Q1 at 8 the median Q2 at 135 the third quartile Q3 at 20 and the maximum value of 25 c Standard Deviation 632 d IQR 12 e The distribution is skewed to the right 2 a 68 b 25 c 84th percentile score 85 3 Probability zscore 1150 1000 100 15 Probability of a light bulb lasting more than 1150 hours 00668 using a ztable or calculator Important Notes This practice test is intended to help you review and prepare for your actual AP Statistics exam The actual exam may cover a wider range of topics than this practice test Make sure to review your textbook class notes and practice problems from previous 5 chapters Practice solving problems under timed conditions to get used to the exam format Remember to show your work for all calculations to receive full credit Good luck