Question

How do you calculate following statistic problems:

You have collected data on the number of pairs of shoes owned by individuals, and have recorded it in Table 3 below. Use the data in Table 3 to answer the following questions. Table 3 - Pairs of Shoes Owned A) Calculate the arithmetic mean. B) Calculate the 20% trimmed mean. C) What is the median? D) What is the mode? E) Which of these measure(s) of central location do you think best represent the data? Explain? Late one night you see an ad for the Super Bass-O-Matic '76. You instantly know that you have to get more information on this wonderful device. The next day you go check the price of the Super Bass-O-Matic '76 at several different stores, and put your data in Table 4. Use this data to answer the following questions. Table 4. - Price of Bass-O-Matic 32.16 62.34 49.61 53.84 28.14 65.49 37.33 45.21 61.10 55.20 57.95 48.34 A) Calculate the mean price of a Bass-O-Matic. B) Calculate the variance for the price of a Bass-O-Matic. C) Calculate the standard deviation.

Answer 1

pairs of shoes ocornes 21 6 5 @ Arithmetic mean: [X 107 15 ... - 7.1333 ® 20-1. trimmed mean Abrange the data in ascending order, 2,3,494,5,5,6,6,6,6,7,7,8,17,21. joo trimmed mean peocent = 20 20.2 sample size - 15 Trimmed count = Floos ( 15X0.2) = 3 As trimmed count is 3, we shoceld remore 3 numbers from the begining & end. .. above. set of numbers is 4,535,6,6,6,6,7,7 Timed mean = x = 52 = $.1717 ...Trimmed mean = 5.77777)

© Median Middle observation in the given set when set arranged in ogcending oder median = 6 Myode The mode of a set of data is the value in the set that occurs, most often we see that occurs most times mode = '6 The median best describes the given data set , because the mean is higher than almost all of the values in given data set...

price of B999 - O-Matic 32-16/ 62:34 49:6) 53.84 bu 28.1469 49 37:33 610 59:20 S7.95 Mean price of BOSS - 0 - Matic S96.71 12 = 49.7258 vanance for the price of Bass -o-Matic Cdata - mean) data Cdata-mean) 308.5573 465.9467 129.3724 159.1180 28.14 6.10 62.34 65.49 55-20 49.61 37.33 57.95 -17.5658 -21.5358 11.3742 12. 6142 15.7642 5.4742 -O1158 -12.3958 g. 2242 4.1142 248.5100 eg9668 0.0134 15 3.6558 67.6374 16.92660 53.84 45.21 20.3924 -4.5158 48:34 1.9 204 -1.3858

vara {cxi-x2 = 1602.0177 12-1 vonance : 145.638 c) Standard deviation variance = [145.638 8.D = 12.068)