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Day 2 HomeworkName _________________________________________Topic: Measures of Center and spread363220034544000Assigned: ______________Stamped: _________________Due: ________________1.) The table shows the average monthly precipitation in millimeters during the summer for theSouthern states.a. Determine the five number summary for this data:Minimum: _________________Q1: _________________Median: _________________ Q3: _________________Maximum: _________________b. Calculate the IQR and the upper and lower fences. List any outliers:IQR: _____________Lower Fence (Q1-IQR*1.5 ): _______________Upper Fence (Q3+IQR*1.5): _________________Outliers: ___________________c. Draw the Box-and-Whisker plot. Remember that the whiskers should not include outliers and outliers should be drawn with an asterisk (*):0-63500d. The wettest 25% of the states all have an average monthly rainfall more than what amount?e. Calculate the mean and standard deviation for this data set using your calculator. f. Calculate the standard deviation for Alabama, Florida, Kentucky, Maryland, Oklahoma, and Texas algebraically. How does the standard deviation for the smaller data set compare to the standard deviation you calculated in part d?2.)Used Cars. The prices of used 2006 and 2007 Honda Civics advertised on Craigslist were $7,500, $8,900, $5,200, $6,000, $6,500, $8,000, and $8,995.a.)Compute the mean and standard deviation of the prices algebraically. Then verify your answers on your calculator.b.)If the seven car owners all lower their prices by $500, how do the mean and standard deviation of the prices change? (use calculator for rest of problems)c.)Suppose that there is a 5% sales tax on used cars. How does this affect the mean and standard deviation of the cost of these cars? d.)Suppose that another Honda Civic is listed for $4,900. How do you think this will affect the mean and standard deviation of the listed prices?e.) Determine the mean and standard deviation with the new Honda Civic included.f.) How are mean and standard deviation affected by adding a constant amount to each point in a data set? How are the mean and standard deviation affected by multiplying a constant amount to each point in a data set?3.)Class Sizes. A large urban high school has 29 math classes. The number of students enrolled in each of the classes is displayed on the plot below. The outlier is a calculus class with only 7 students enrolled.a.)Jason computed the mean, both with and without the outlier. The two values were 35.97 and 37.00. Which value was computed with the outlier, and which was computed without the outlier? Explain.b.)Jason also computed the standard deviation, both with and without the outlier. The two values were 3.25 and 6.34. Which value was computed with the outlier, and which was computed without the outlier? Explain.c.)How many standard deviations below the mean is the enrollment in the calculus class when it is included in computing the standard deviation? How many standard deviations below the mean is the enrollment in the calculus class when it is not included in the calculation?d.) Suppose five students drop out of each class. What will be the new mean and standard deviation if the calculus class is included in the computation? ................
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