Algebra 1 Unit 6 HMWK Statistics Review 1 Name: _______________________ Date: _______________________ 1) During spring break, Daniel and Andres spent many hours playing video games at home. Their mothers were so worried that they kept a daily record of the total amounts of time the boys spent each day on their video game systems. Here are the records of their times (in hours): Daniel’s time Andres’ time Mon 4.5 5 Tues Wed 3 5 4 4 Thurs 5 6 Fri 2 3.5 Sat 4.5 1 Sun 0 6 a) On average, which boy spent more time per day playing video games? b) Which boy had the greater median time? c) Which boy’s median playing time was greater than his mean playing time? 2) A town meeting was called to discuss plans for a new road. A researcher collected information from the attendees, including ages. This information is listed below. 16, 18, 18, 21, 26, 27, 30, 31, 35, 39, 45, 47, 51, 52, 59, 63, 67 a) Put the data in order from least to greatest. b) Find the following data: Median: _____________ Lower quartile: _____________ Upper quartile: _____________ Minimum value: _____________ Maximum value: _____________ c) Create a box-and-whisker plot of the data. 3) In which of the following data sets are the mean, median, and the mode all equal to one another? a) {15, 20, 25, 25, 30, 35} b) {15, 20, 25, 30, 35, 40} c) {15, 20, 30, 30, 40} d) {15, 20, 20, 25, 25, 30} 4) The test scores for a math class are shown below: 73, 55, 70, 89, 84, 73, 98, 100, 87, 65, 84, 73 a) If Amanda scored 73 on her test, how did her score compare with the mean score for the class? a) Her score was above the mean. b) Her score was below the mean. c) Her score was the same as the mean. b) What was the median score? c) Find the mode(s). d) Suppose one student later took a make-up test and his score was then included in the data set above. If he scored 84 on the test, how would the mean be changed? a) It would be raised. b) It would be lower. c) It would not change. 5) The average temperature for a week in April was 65oF. The high temperatures for the first six days were: 62 oF, 65 oF, 66 oF, 68 oF, 70 oF, and 64 oF. What was the temperature on the seventh day? 2 6) The chart below shows the number of goals the boys’ and girls’ soccer teams scored in each game this season. Boys 3 4 3 2 1 4 4 Girls 3 0 2 5 2 0 5 What is the difference in the median scores of the two teams? 7) Jorge made the following stem-and-leaf plot of the weights of the members of the football team he was coaching. Stem Leaves 10 9 11 12 3, 8 13 2, 14 4, 4, 6, 8 15 2, 3, 7, 7, 9 16 1, 3, 7, 8, 8, 8, 9 17 3, 8 Find the median and mode of the players’ weights. 3 8) The data below shows the times, in seconds, it took some students to complete a task. 7.6, 8.1, 9.2, 6.8, 5.9, 6.2, 6.1, 5.8, 7.3, 8.1, 8.7, 7.4, 7.8, 8.2 a) Make a stem-and-leaf plot of the data. Use the following key: 7 | 6 = 7.6 Stem Leaves b) Find the median and mode of the data. c) Find the upper quartile, lower quartile, minimum, and maximum value, and draw a boxand-whisker plot of the data. 4