Number of Hours of Service Algebra 2/Trig Name: _________________________________ Reading & Describing Graphs Practice Date: __________________________________ 1) The graph shows the number of volunteer hours completed by members of a class during the last week. Answer each question about the graph. a) How many students are represented? b) What is the median of the number of hours of service? c) What is the range of the data set? d) What percent of students volunteered for at least 2 hours of service? 2) Stephen asked 200 students to select their favorite sport and then recorded the results in the bar graph shown. a) About what percent of students selected hockey? b) Explain why it is not possible to find measures like mean, median, and range for this data set. c) Stephen will ask another 80 students to select their favorite sport. Based on the information in the bar graph, estimate how many more students of the next 80 asked will select basketball rather than football as their favorite sport? 6 5 4 Number of Students 3 2 1 1 2 3 4 Number of Hours of Service

3) Answer the following questions about the Stem & Leaf Plot showing the number of points scored at each football game of the season. a) What is the range of the number of points scored? b) What is the median of the number of points scored? c) Would you expect the mean to be higher than, lower than, or about the same as the median? Why? d) Check your prediction in part c by calculating the mean. 4) Two box and whisker plots are shown below that represent the scores on an exam for two classes of students. Answer each question about the data. a) Which class has the higher median score? b) Which class has the higher standard deviation? Why? c) Identify and compare the IQR for each class. d) Which class would you rather be in? Why? _____5) The pie chart below shows the percent of the total number of students enrolled in a high school who are in each grade. There are currently 448 freshman enrolled in the high school. About 75% of the senior enrolled in the high school will attend college next year. Which is most likely the number of seniors currently enrolled in the high school who will attend collect next year? A) 167 B) 288 C) 336 D) 384

6) According to the graphs shown, how many freshman are enrolled at Taft High School? _____7) The histogram summarizes the number of hours worked last week by the 40 employees of a manufacturing plant. In the histogram, the first bar represents all works who worked at least 10 hours, but less than 20 hours; the second represents all workers who worked at least 20 hours but less than 30 hours; and so on. Which of the following could be the median and mean number of hours worked for the 40 employees? A) Median = 22; Mean = 22 B) Median = 24; Mean = 22 C) Median = 26; Mean = 32 D) Median = 32; Mean = 35 _____8) The number of cookies sold at a bakery each day last week is listed below. 264, 203, 318, 502, 341, 173, 299 The pie chart below represents the types of cookies sold during the entire week. Based on the data and the pie chart, how many more chocolate chip cookies than oatmeal cookies will most likely be sold during one day next week? A) 25 B) 75 C) 125 D) 275

A) The standard deviation of the scores in Class A is smaller. _____9) The dot plots summarize the scores of two classes (each with 12 students) at a middle school on a quiz (out of 5 points). Which of the following correctly compares the standard deviation of the scores in each class? A) The standard deviation of the scores in Class A is smaller. B) The standard deviation of the scores in Class B is smaller. C) The standard deviation of the scores in Class A and B is the same. D) The relationship cannot be determined from the information given. 10) a) Label each graph with an appropriate description (Symmetric, Right Skewed, or Left Skewed). A) B) C) _________________ __________________ ____________________ b) Which graph would you expect the mean and median to be approximately the same? ___________ c) Which graph would you expect the mean to be greater than the median? _____________________ d) Which graph would you expect the mean to be less than the median? _______________________ 11) Identify the value of each statistic from the box and whisker plot shown. Minimum: _________________ Maximum: _________________ Range: ____________________ Quartile 1: _________________ Quartile 3: __________________ Interquartile Range: ___________ Median: ____________________ 1 2 3 4 5 1 2 3 4 5 Class A Class B 5 10 15 20 25 30 35 40 45 50 Measurement in Inches