Answer of word problem

9:35 K Math 110 Module Update... Q Lab Assignment Name: Section 3.1 Due Date: Math 34 This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week. In exercises 6 - 14, find the (a) mean, (b) median, (c) mode, an (d) midrange for the given sample data. Express answers with the appropriate units of measurement. Then answer the given questions, 6. Top 10 Most Expensive Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidmore, Johns Hopkins, Georgetown, Connecticut College, Harvey Mudd, and Vassar. What does this "Top 10" list tell us about the population of all U.S. college tuitions? $54,410 $51,991 $51,730 $51,300 $51,196 $51,190 $51,122 $51,115 $51,037 $50,875 8. Tests of Child Booster Seats The National Highway Traffic Safety Administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in "hic," which is a measurement of a standard "head injury criterion." According to the safety requirement, the hic measurement should be less than 1000 hic. Do the results suggest that all child booster seats meet the specified requirement? 774 649 1210 546 431 612 14. Mercury in Sushi Listed below are the amounts of mercury (in parts per million, or ppm) found in tuna sushi sampled at different stores in New York City. The study was spon- sored by the New York Times and the stores (in order) are D'Agostino, Eli's Manhattan, Fair- way, Food Emporium, Gourmet Garage, Grace's Marketplace, and Whole Foods. Which store has the healthiest tuna? Does it appear that the different stores get their tuna from the same supplier? 0.56 0.75 0.10 0.95 1.25 0.54 0.88 PAGE 26variance: the square of the standard deviation [5' or all For Data set 1: 5': Data set 2: 5': Empirical mile: when data ls approtdrnatehf bell shaped: About oaot of data values are l.Iritltin one standard deviation {if the mean. About sets of data values are witin two standard deviations of the mean. About 99.?! of data values are within three standard deeiations of the mean. Example: Height: of women have a hell shaped distribution with a mean of 161 cm and a standard deviation of? cm. a. Approximately what is the percentage of I.eonrten bemoan 14? em and m. cm? b. About 99.31; of women are between what mo heights? e. What percentage of women are between 154 and 132 em PAGE 29 9:35 Math 110 Module Update... Q Math 34 Lecture Outline, Section 3.2: Measures of variation Data set #1: 5, 6, 6, 10, 10, 11 Range = S= Data set #2: - 2, 4, 6, 10, 12, 18 X = Range = S = Range: Highest data value minus lowest data value Round off rule: Carry one more decimal place than the original data Standard Deviation: a type of average deviation from the mean Standard deviation is usually positive Standard deviation is zero if all data is the same number Outliers can have a strong effect on the standard deviation 1-14 Standard deviation of a sample N Standard deviation of a population Standard deviation can be estimated using the Range Rule of Thumb : s = range Calculating standard deviation by hand: Data set #1 Data set #2 x-values x - x (x-x) x-values x- x (x - x)2 Total Total Finding descriptive statistics using TI-83/84: Enter the data in L1 by pressing STAT, then selecting Edit and pressing ENTER. After the data are entered, press STAT and select CALC, then select 1-Var Stats and press ENTER twice. Use arrows to scroll up and down to find all results. PAGE 28