Statistics-Target+A-Shape+It-Practice+Problems


 * Target 1A: Analyze the shape, center, and spread of a data set (including how an outlier can skew data)**


 * 1) Jessica has taken her pulse 11 times in the last 7 hours. Her results are 81, 81, 74, 92, 86, 82, 81, 78, 63, 92 and 69 beats per minute.**


 * 1a) Find the minimum, maximum, Q1, Q3, mean and range of the data.**


 * 1b) Construct a dot plot of Jessica's pulse-rate data.**


 * 1c) Construct a box and whisker plot of Jessica's pulse-rate data.**


 * 1d) What is the mode of the data set (or what pulse appeared most)?**


 * 2) You are trying to gather data to market a new volleyball league to customers at your fitness gym. The following is data collected on the average age of volleyball players polled on a given weeknight:**

math {30, 31, 25, 27, 29, 27, 28, 29, 27, 28, 28, 28, 31, 30, 29, 27, 31, 31, 32, 34, 27, 29} math


 * 2a) Create a dot plot to summarize this data.**


 * 2b) Describe the data (is it skewed).**


 * 2c) Suppose a random volleyball player was selected from Illinois. Based on the data above, predict their age.**


 * 2d) What age would your campaign target?**


 * 3) Create an example of a dot plot that is negatively skewed.**


 * 4) You are working for the city of Chicago and are responsible for crowd control at Grant Park. The following is a list of wait times in minutes for entering** **the three day concert [|Lollapalooza]:**

math \begin{matrix} 7&6&5&1 &4& 9& 8& 29& 8& 6 &7 &10 &12 \\ 14& 45& 45& 45& 55& 95& 45& 16& 19& 17& 15& 25& 15 \\ 11& 10& 3& 5& 13& 20& 21& 25& 25& 25& 55& 22& 28 \\ 28& 27& 27& 26& 26& 52& 22& 68& 23& 21& 30& 31& 31 \\ 32& 52& 33& 35& 35& 27& 37& 19& 18& 37& 37& 37& 37 \\ 40& 45& 47& 14& 49\\ \end{matrix} math


 * 4a) Represent this data using a histogram with categories as indicated:**

math 0-9, \ 10-19, \ 20-29, \ 30-39, \ 40-49, \ 50-59, \ 60-69, \ 70-79, \ 80-89, \ 90-99 \ math


 * 4b) Describe the shape and spread of the data.**


 * 4c) Use the graph to approximate the average wait time for the concert. Explain how you came up with your answer.**


 * 4d) Are there any outliers in this set of data? If so, what values are they?**

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 * Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot by sliding the points on the vertical lines. Then to check your answer click on the "Check Answer" check box.**
 * 5)**

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 * 6)**

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 * 7)**


 * 8) Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot.**

math {4, 8, 12, 11, 16, 11, 5, 3, 16, 7, 10, 13} math


 * 9) Given the following set of data, find the 5 number summary (Minimum, Q1, Median, Q3 and Maximum) and create a box and whisker plot.**

math {20, 22, 12, 15, 6, 11, 15, 13, 18, 10, 10, 9, 9, 8, 12} math


 * 10) Below are your test scores for the first 10 tests in science class.**

math {99, 91, 89, 92, 90, 91, 95, 70, 90, 95} math


 * 10a) Create a box and whisker plot for the data.**


 * 10b) What do you notice about the data?**

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 * 11) Compare the following five data sets that have been displayed using box and whisker plots.**
 * 11a) Which of the data sets has the largest range?**


 * 11b)** **Which of the data sets has the largest Median?**


 * 11c)** **Which of the data sets has the largest Q1?**


 * 11d)** **Which of the data sets has the smallest Q2?**


 * 11e)** **Which of the data sets has the smallest Minimum?**


 * 11f)** **Which of the data sets has the largest Maximum?**


 * 11g)** **Which of the data sets has the smallest IQR?**

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 * 12) Assume the Box and Whisker Plot and Dot Plot are using the same data. What happened to the lower whisker?**