On Level Unit 8 Test Study Guide Test Date: Thursday, June 12, 2014 Topics: All Topics from Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Calculating Mean, Median, Mode Unit 6, and Unit 7 Describing Center, Variability and Shape Statistical Questions Box and Whisker Graphs Creating Line Plots, Frequency Tables and The Mean Absolute Deviation (MAD) Histograms *MANY OF THESE TOPICS CAN BE FOUND IN CHAPTER 13 OF YOUR TEXTBOOK. To study, you should complete odd numbered problems from the pages above so that you can check if you got the correct answer or not in the back of the textbook. Selected answers begin on Pg. SA1. Vocabulary: All vocab from Units 1, 2, 3, 4, 5, 6 and 7 Histogram Mean Absolute Deviation (MAD) Relative Frequency Cumulative Frequency Skewed Data Quartiles and Extremes Box and Whisker Graph Practice: Be sure to include labels and title for all graphs and to show all work. 1. The following are 6th grade Math scores on the Unit 7 Test: 87, 93, 94, 72, 68, 75, 92, 89, 88, 89. a. Create a line plot for the data. Choose an appropriate scale. Title and label the line plot. b. Write a statistical question that you could ask to obtain the above data. c. Calculate the measure of center for the data (mean, median, and mode). Which measure or center best represents the data? Why? Explain fully. Mean: _____________ Median: _____________ Mode: _____________ Why: d. Calculate the measures of spread for the data (range and mean absolute deviation). Which measure of spread best represents the data? Explain fully. Range: _____________ Why: Mean Absolute Deviation: _____________ e. Create a frequency table that includes relative frequency and cumulative frequency for the data above. Interval Tally Frequency Cumulative Frequency Relative Frequency 65 – 69 f. Create a histogram for the data above. Is the histogram approximately symmetrical or skewed? What does this tell you about the data? Shape of graph: ______________________ What this says about the data: _______________________________ g. Create a box-and-whisker plot for the data above. Title and label the box-and-whisker plot. Include all work to calculate the medians and quartiles. What is the interquartile range (IQR)? Median: _____________ Lower Quartile: _____________ Lower Extreme: _____________ Upper Quartile: _____________ Upper Extreme: _____________ IQR: _____________ 2. Create a line plot for the number of letters in a student’s name if 5 students participated, the mode was 10, and the range was 8 letters. Title and label your line plot. 3. Create a line plot for the number of pets a family has if 7 families participated, the mean was 3 pets, and the mode was 2 pets. Title and label your line plot.