<p> MATH 114 QUANTITATIVE REASONING SUMMER 2009 PRACTICE TEST</p><p>NAMES ______</p><p>Please show all necessary work. Feel free to ask me questions.</p><p>1. Consider the data set: 11, 22, 26, 40, 30, 18, 10, 13, 15, 10, and 14.</p><p> a) Find the Mean and Median.</p><p> b) Which is better? Why?</p><p> c) Find the Standard Deviation using the following table.</p><p> x dev dev2</p><p>2. Find the 5 number summary and draw a box plot of the following data set: 170, 82, 73, 125, 57, 63, 115, 73, 87, 145, 68, 59, 100, 98, 107, 130</p><p>75% of all of the data is less than or equal to what value? _____ 3. Following are the speeds of fastballs pitched in a Major League Baseball game: 96, 89, 92, 94, 80, 97, 88, 95, 87, 90, 93, 94, 96, 95 a) What are the individuals in this example?</p><p> b) What is the variable?</p><p> c) Display the data in a histogram.</p><p> d) Describe the shape of the histogram: is it symmetric? Is there skew? Are there outliers? About where is the center of the distribution?</p><p>4. The weights of baseball bats produced during a production run are normally distributed with a mean of 35 ounces and standard deviation of 0.2 ounces. Using the 68-95-99.7 rule, determine the percentage of baseball bats that weighed</p><p> a) Under 34.8 ounces.</p><p> b) Over 35.6 ounces.</p><p> c) Between 34.6 and 35.2 ounces.</p>