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## QNT 273 Week 3 Individual Assignment Textbook Assignments

by: tophomework Notetaker

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# QNT 273 Week 3 Individual Assignment Textbook Assignments

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QNT 273 Week 3 Individual Assignment Textbook Assignments
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Date Created: 11/14/15
8)    Cigarette Taxes The increases (in cents) in cigarette taxes for 17 states in a 6­month  period are 60, 20, 40, 40, 45, 12, 34, 51, 30, 70, 42, 31, 69, 32, 8, 18, 50 Use the range rule of thumb to estimate the standard deviation. Compare the estimate to  the actual standard deviation. Source: Federation of Tax Administrators. Range = 70 – 8 = 62 Estimated Standard Deviation = 62 / 4 = 15.5 When computed in Excel the actual standard deviation = 18.231 Therefore the estimate standard deviation is less than the actual standard deviation. 11)      Stories in the Tallest Buildings The number of stories in the 13 tallest buildings for  two different cities is listed below. Which set of data is more variable? Houston: 75, 71, 64, 56, 53, 55, 47, 55, 52, 50, 50, 50, 47 Pittsburgh: 64, 54, 40, 32, 46, 44, 42, 41, 40, 40, 34, 32, 30 Source: World Almanac. Houston: (75+71+64+56+53+55+47+55+52+50+50+50+47)/13 = 55.76932. Pittsburgh: (64+54+40+32+46+44+42+41+40+40+34+32+30)/13 = 41.4615 2 2 2 2 Houston = [ (75 ­ 55.7692)  + (71 ­ 55.7692)  + (64 ­ 55.7692)  + (56 ­ 55.7692)  +  (53 ­ 55.7692)  + (55 ­ 55.7692)  + (47 ­ 55.7692)  + (55 ­ 55.7692)  + (52 ­ 55.7692)  +  2 2 2 2 2 (50 ­ 55.7692)  + (50 ­ 55.7692)  +(50 ­ 55.7692)  + (47 ­ 55.7692)  ] / 12 = 78.8590 2 2 2 2 Pittsburgh = [ (64 ­ 41.4615)  + (54 ­ 41.4615)  + (40 ­ 41.4615)  + (32 ­ 41.4615)  +  (46 ­ 41.4615)  + (44 ­ 41.4615)  + (42 ­ 41.4615)  + (41 ­ 41.4615)  + (40 ­ 41.4615)  +  2 2 2 2 2 (40 ­ 41.4615)  + (34 ­ 41.4615)  + (32 ­ 41.4615)  + (30 ­ 41.4615)  ] / 12 = 88.7692 Therefore, the Pittsburgh buildings have the greater variation (is more variable) Another way to show the variability is using the range rule of thumb.  Houston = (75 – 47) / 4 =7 Pittsburgh = (64 – 30) / 4 = 8.5 And this lines up with what was already found, Pittsburgh is more variable. Exercise 3.22 The Tri­City School District has instituted a zero­tolerance policy for  students carrying any objects that could be used as weapons. The following data give the  number of students suspended during each of the past 12 weeks for violating this school  policy. 15, 9, 12, 11, 7, 6, 9, 10, 14, 3, 6, 5 Calculate the mean, median, and mode for these data. The best way to complete all three is to rearrange the number set smallest to largest: 3, 5, 6, 6, 7, 9, 9, 10, 11, 12, 14, 15 Mean = (3+5+6+6+7+9+9+10+11+12+14+15) / 12 = 8.92 Median = (9+9) / 2 = 9 Mode = There is no mode because 6 & 9 both occur the same amount of times. Exercise   3.23 The following data represent the numbers of tornadoes that touched down  during 1950 to 1994 in the 12 states that had the most tornadoes during this period (Storm  Prediction Center, 2009). The data for these states are given in the following order: CO, FL, IA, IL, KS, LA, MO, MS, NE, OK, SD, TX. 1113 2009 1374 1137 2110 1086 1166 1039 1673 2300 1139 5490 a. Calculate the mean and median for these data. Mean =(1113+2009+1374+1137+2110+1086+1166+1039+1673+2300+1139+5490) / 12 = 1803 Median = (1166 + 1374) / 2 = 1270 b. 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 larger amount when you  drop the outlier? The outliner is from TX – 5490.  Mean = (1113+2009+1374+1137+2110+1086+1166+1039+1673+2300+1139) / 11 = 1467.818 Median = 1166 The mean changes by the larger amount when the outlier is dropped. c. Which is the better summary measure for these data, the mean or the median? Explain. Because the mean is affected the most by the outliner, the median is the better summary for this  data set.

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