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Mathematics

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Unit 5 Review. You must show ALL your work to receive credit. 1.) Write and solve an equation to find the value of the variable. 102, 115, 134, x; mean = 118 2.) Find the mean, median, and mode for the following data set (round to the nearest tenth): 55, 37, 42, 48, 54, 51, 52, 53, 54 3.) Using the box-and-whisker plot shown, find the quartile values for Q1, Q3, and the IQR value. 4.) Using the dotplot, find the values of the dataset. 5.) A police radar unit measured the speed of 25 cars on a certain street. The resulting speeds were: 29, 23, 30, 30, 27, 24, 30, 25, 23, 28, 25, 24, 28, 30, 23, 30, 27, 25, 29, 24, 23, 26, 30, 28, 25. a. Prepare a frequency distribution for this data using four classes. b. Draw a histogram to represent this data 6.) The local ice cream shop keeps track of how much ice cream they sell versus the temperature at 3 PM on that day. The table at the left shows this data. Represent this data as a scatter plot and find a trend line or “Line of Best Fit”. (Hint: Plot temperature on the x-axis.) Please describe the correlation for this scatter plot. Temperature °F 55° 60° 51° 72° 62° 70° 75° 62° 76° 68° Ice Cream Sales 240 350 210 500 350 477 510 375 514 412 7.) Identify the set of data for the stem and leaf plot below. Stem Leaf 1 1 1 4 2 0 3 3 7 9 9 1|1 means 1.1 8.) Using the graph below, how many customers had telephone bills greater than \$40? 9.) Given the frequency distribution below, please answer the following questions? a.) What are the class boundaries? b.) What are the lower class limits? c.) What are the upper class limits? d.) What are the class midpoints? e.) What is class width? 10. The following table shows the number of college credits completed by a sample of 53 students. Calculate the relative frequency for each class and create a relative frequency histogram.
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