3.20 Standard milk choolale M&Ms;™ come in six cokr·The Fun Size bags typically

Question

3.20 Standard milk choolale M&Ms;™ come in six cokr·The Fun Size bags typically contain between 6 and 20 candies, so it is common for a Fun Sire hag to have some of the six colors missing. Each of the 14 students in a summer statistics class was given a Fun Sine hag and asked to count the number of colors present in the hag. The following data are the nomber of colors found in these 14 hags Find the mean, median, and mode for these data Are the values of these summary mcasares population parameters or sample statistics7 Explain why. 323 The following data represent the numbers of somadoes that soached down during 1950 to 1994 i the 12 states that had the most tornadoes during this period. The data for these states are given in the fol- lowing order: COFL-LA. IL KS, LA, MO, MS, NE. OK. SD. TX. 113 2009 1374 1137 2110 1086 1166 1039 1673 2300 1139 5490 a. Calculate the mean and median for these data h. Identify the outlier in this data set. Drop the outlier and recalculate the mean and median Which of these two summary measures changes by a larper amount when you drop the outlier? e. Which is the beter summary measure for these data the mean or the median? Explain 3.54 The following data represent the 2011 guaranteed sallaries (in thousands of dollars) of the head coaches of the final eight teams in the 2011 NCAA Men's Baskethall Champioeship. The data represent the 2011 salaries of haskethall coaches of the following universities eniend in that oner Arizona, Butkr, Connecti- cut, Florida, Kansas, Kentucky. North Carolina, and Virginia Commonwealth Sounee: www.usatoday.com) 1950 434 23003575 3376 0655 418 Compute the range, variance, and standard deviation for these data. 3103 The following data give the 2009 estimates of crade oil neserves (in billions of barels) of Saudi Arabia, Iran.Irag. Kawait, Veneruela the United Arab Emiraties,Russia Libya. Nigeria, Canada, the United States, China, Brazil, and Mexico (soace: www.eia gow) 266.7 43.7 1362 62 97 126 600 105 115.0 213 99 16.0 Prepare a box-and-whisker plot. Is the distribution of these data symmetric or skewed? Are there any out- liers? If so, classify them as mild or extreme 4.7 A hox contains a certain number of compater parts, a few of which are defective. Two parts are se- ected at random from this box and inspected to determine if they are good or defective. How many total oulcomes are possible? Draw a tree diagram for this experimen 4.13 Refer to Exercise 4.7. List all the outcomes included in each of the following events, Indicate which are simple and which are compound events a. At least one part is good. h. Exactly one part is defective. e. The firt part is good and the second is defective d. At most one part is good.

Explanation / Answer

3.20: -

Here, since each of the 14 students in the class (which comprises the population) were given the fun size bag, it is a population parameter. Mean, Median and Mode would be calculated as below: -

Mean=Ex/n=48/11=4.3636

Median=(n+1)/2=(11+1)/2=6th observation=5

Mode=Most repeated value which again is 5

x 2 3 3 4 4 5 5 5 5 6 6 Mean=4.3636 Median=5 Mode=5

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