Exam 3: Displaying and Summarizing Quantitative Data

The data below give the number of tornadoes that happened each year in a certain county from 1948 through 2004.Create a dotplot of these data. 2 6 2 4 5 1 4 5 6 4 3 5 6 6 4 5 5 4 0 4 5 6 6 5 7 5 5 3 7 2 3 2 5 6 6 6 6 6 4 5 4 5 4 5 6 6 5 4 5 6 5 4 5 4 3 3 1

The ages of the 21 members of a track and field team are listed below. 15 18 18 19 22 23 24 24 24 24 25 26 26 27 28 28 30 32 33 40 42 Choose the boxplot that represents the given data. I II III IV V

The histogram shows the cost of living,in dollars,in 32 Canadian towns.

A small company employs a supervisor at $1300 a week,an inventory manager at $600 a week,5 stock boys at $300 a week each,and 3 drivers at $500 a week each.

Here are the amounts,in dollars,spent by six students at a university book store. $267.25 $167.42 $288.70 $148.22 $228.43 $\$ 174.68$ Round your answer to the nearest cent.

The diastolic blood pressures,in mm Hg,for a sample of patients at a clinic are given.Create a stem-and-leaf display of the data.Do not use split stems. 78 87 91 85 97 102 73 90 110 105 94 85 81 95 77 106 84 111 83 92 79 81 96 88 100 85 89 101 83 120 88 95 78 74 105 85 87 92 114 83

Here are the average mathematics achievement scores for ninth graders in 32 counties. 607\nobreakspace585\nobreakspace574\nobreakspace572\nobreakspace569\nobreakspace565\nobreakspace564\nobreakspace558 542\nobreakspace534\nobreakspace531\nobreakspace528\nobreakspace525\nobreakspace524\nobreakspace519\nobreakspace516 498\nobreakspace480\nobreakspace478\nobreakspace475\nobreakspace471\nobreakspace465\nobreakspace458\nobreakspace446 419\nobreakspace410\nobreakspace409\nobreakspace389\nobreakspace380\nobreakspace382\nobreakspace355\nobreakspace324

Shown below are the boxplot and the histogram for the weekly salaries (in dollars)of 24 randomly selected employees of a company: i)What features of the distribution can you see in both the histogram and the boxplot? ii)What features of the distribution can you see in the boxplot that you could not see in the histogram?

The number of cars passing through a Tim Hortons "drive-thru" during each 15-minute period was recorded.The results are shown below. 20 22 20 23 23 20 25 22 30 26 26 24 19 26 20 15 10 22 22 22

Shown below are the boxplot,the histogram and summary statistics for the weekly salaries (in dollars)of 24 randomly selected employees of a company: Count Mean Median StdDev Min Max Q1 Q3 24 978.8 705 765.7 310 3700 510 1225 Write a few sentences describing the distribution.

A sewing supply company has a database of tens of thousands of products that they sell in their stores.One of the variables in the database,Thread_Colour,contains the names of the colors of the various spools of thread that are sold.The most commonly sold are white,black,and brown,but there are also magenta,azure,sea foam green,and nutmeg,to name a few others.In all there are more than 500 different colours,each with a corresponding numeric code.Here are a few of them: Code Colour 000 white 001 black 002 prown 003 yellow 004 plue 005 red 009 violet 010 magenta 127 sea foam green 128 hutmeg 134 turquoise 159 evergreen 687 midnight blue 508 teal An intern who was asked to analyze the company's thread sales presented these summary statistics for the variable Thread_Colour: Mean 35.89 StdDev 784.92 Median 2 3 87602 a)What does the mean of 35.89 mean? b)What are the typical reasons that cause measures of centre and spread to be as different as those in this table? c)Is that why these are so different?

Here are the highest temperatures ever recorded (in °F)in 32 different states in the U.S.A. 100 100 105 105 106 106 107 107 108 110 110 112 112 112 114 114 114 115 116 117 118 118 118 118 118 119 120 121 122 125 128 134 Choose the boxplot that represents the given data. I II III IV V

The test scores of 19 students are listed below.Find the range. 91 99 86 54 72 85 97 91 90 66 82 83 78 88 77 80 92 94 98

The diastolic blood pressures,in mm Hg,for a sample of patients at a clinic are given.Create a stem-and-leaf display of the data.Use split stems.Let the upper leaf represent digits 0-4 and the lower leaf represent 5-9. 78 87 91 85 97 102 73 90 110 105 94 85 81 95 77 106 84 111 83 92 79 81 96 88 100 85 89 101 83 120 88 95 78 74 105 85 87 92 114 83

The weights,in kilograms,of 17 randomly selected adults are given below.Find the interquartile range (IQR)by hand. 65.3 74.8 84.8 64.9 54.0 59.9 57.6 70.8 81.2 72.1 81.6 91.6 51.7 66.2 68.5 76.2 78.5

The precipitation,in millimetres,for August is given for 20 different Canadian cities. 113 67 56 43 27 93 58 147 72 58 86 74 39 25 36 103 50 37 36 82

Here are summary statistics for the time,in minutes,it took for 20 people to complete an information survey at a walk-in medical clinic. Count Mean Median StdDev Min Max Q1 Q3 20 3.23 3.45 1.2 0.4 7.0 2.1 3.8 Write a few sentences about the amount of time these people took to complete the information survey.

A clerk entering salary data into a company spreadsheet accidentally omitted a "0" in the CEO's salary,listing it as $155,000 instead of $1,550,000.Explain how this error will affect these summary statistics for the company payroll: a)measures of centre: median and mean; and b)measures of spread: range,IQR,and standard deviation.

Here are summary statistics for the time,in minutes,it took for 20 people to complete an information survey at a walk-in medical clinic. Count Mean Median StdDev Min Max Q1 Q3 20 3.23 3.45 1.2 0.4 7.0 2.1 3.8 Would you describe this distribution as symmetric or skewed?

Which set has the largest standard deviation? Set 1 Set 2 7 12 15 14 19 52 60 62 61 68