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The box plots below show the average daily temperatures in January and December for a U.S. city: two box plots shown. The top one is labeled January. Minimum at 0, Q1 at 10, median at 12, Q3 at 13, maximum at 16. The bottom box plot is labeled December. Minimum at 1, Q1 at 5, median at 18, Q3 at 25, maximum at 35 What can you tell about the means for these two months? The mean for December is higher than January's mean. It is almost certain that January's mean is higher. There is no way of telling what the means are. The narrow IQR for January causes its mean to be lower. Question 2 (Multiple Choice Worth 2 points) (06.02) Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots: two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 Identify any values of data that might affect the statistical measures of spread and center. The females worked less than the males, and the female median is close to Q1. There is a high data value that causes the data set to be asymmetrical for the males. There are significant outliers at the high ends of both the males and the females. Both graphs have the required quartiles. Question 3 (Multiple Choice Worth 2 points) (06.02) The table below shows data from a survey about the amount of time high school students spent reading and the amount of time spent watching videos each week (without reading): Reading Video 4 4 4 5 5 6 5 8 5 9 6 10 7 11 8 12 8 14 9 25 Which response best describes outliers in these data sets? Neither data set has suspected outliers. The range of data is too small to identify outliers. Video has a suspected outlier in the 25-hour value. The 25-hour value for video does not pass the outlier test of 1.5 ⋅ (IQR) + Q3. Question 4 (Multiple Choice Worth 2 points) (06.02) The table below shows data from a survey about the amount of time students spend doing homework each week. The students were either in college or in high school: High Low Q1 Q3 IQR Median Mean σ College 50 6 8.5 17 8.5 12 15.4 11.7 High School 28 3 4.5 15 10.5 11 10.5 5.8 Which of the choices below best describes how to measure the spread of this data? Both spreads are best described with the IQR. Both spreads are best described with the standard deviation. The college spread is best described by the IQR. The high school spread is best described by the standard deviation. The college spread is best described by the standard deviation. The high school spread is best described by the IQR. Question 5 (Multiple Choice Worth 1 points) (06.02) The box plots below show attendance at a local movie theater and high school basketball games: two box plots shown. The top one is labeled Movies. Minimum at 100, Q1 at 130, median at 165, Q3 at 185, maximum at 200. The bottom box plot is labeled Basketball games. Minimum at 135, Q1 at 225, median at 248, Q3 at 275, maximum at 300. Which of the following best describes how to measure the spread of the data? The IQR is a better measure of spread for movies than it is for basketball games. The standard deviation is a better measure of spread for movies than it is for basketball games. The IQR is the best measurement of spread for games and movies. The standard deviation is the best measurement of spread for games and movies. Question 6 (Multiple Choice Worth 1 points) (06.02) The table below shows data for a class's mid-term and final exams: Mid-Term Final 96 100 95 85 92 85 90 83 87 83 86 82 82 81 81 78 80 78 78 78 73 75 Which data set has the smallest IQR? They have the same IQR Mid-term exams Final exams There is not enough information Question 7 (Multiple Choice Worth 1 points) (06.02) The box plots below show student grades on the most recent exam compared to overall grades in the class: two box plots shown. The top one is labeled Class. Minimum at 68, Q1 at 71, median at 84, Q3 at 89, maximum at 100. The bottom box plot is labeled Exam. Minimum at 55, Q1 at 76, median at 85, Q3 at 94, maximum at 100. Which of the following best describes the information about the medians? The class and exam medians are almost the same. The exam median is much higher than the class median. The class and exam Q3 are the same, but the exam has the lowest median. The low outlier on exams pulls the median lower.

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