Exam 2: Exploring Data With Tables and Graphs

Use the data to create a stemplot. -The ages of the 45 members of a track and field team are listed below. Construct an expanded stemplot with about 8 rows. 21 18 42 35 32 21 44 25 38 48 14 19 23 22 28 32 34 27 31 17 16 41 37 22 24 33 32 21 26 30 22 27 32 30 20 18 17 21 15 26 36 31 40 16 25

According to USA Today, the largest categories of sports equipment sales are as follows: fishing ($2.0 billion); firearms and hunting ($3.1 billion); camping ($1.7 billion); golf ($2.5 billion). What type of graph would depict These different categories and their relative amounts the best?

A school district performed a study to find the main causes leading to its students dropping out of school. Thirty cases were analyzed, and a primary cause was assigned to each case. The causes included unexcused absences (U), illness (I), family problems (F), and other causes (O). The results for the thirty cases are listed below: Construct a table summarizing the frequency distribution of the primary causes leading to student dropout. Cause Frequency

A bar chart and a Pareto chart both use bars to show frequencies of categories of categorical data. What characteristic distinguishes a Pareto chart from a bar chart and how does that characteristic help us in understanding the data?

Consider the frequency distribution below, which has single values as classes: Value Frequency 10 1 11 3 12 7 13 18 14 10 15 4 16 2 17 7 18 16 19 10 20 6 21 2 Describe the distribution of the data. Use this frequency distribution to create two new frequency distributions for the data, one with four classes of equal width and one with six classes of equal width. Does the frequency distribution with four classes capture the distribution of the data? Does the frequency distribution with six classes capture the distribution of the data? Explain your thinking.

Construct a pie chart representing the given data set. -The following figures give the distribution of land (in acres) for a county containing 71,000 acres.

Kevin asked some of his friends how many hours they had worked during the previous week at their after-school jobs. The results are shown below. 5 6 5 4 5 5 9 8 5 3 7 6 6 7 5 6 7 5 6 8 6 7 8 4 Construct a frequency distribution. Use 4 classes, a class width of 2 hours, and a lower limit of 3 for class 1. Hours Frequency

Consider the frequency distribution below, which has single values as classes: Value Frequency 10 1 11 3 12 7 13 18 14 10 15 4 16 2 17 7 18 16 19 10 20 6 21 2 Construct a new frequency distribution for this data with 4 classes. Now, construct another frequency distribution for this data with 6 classes. Suppose that you construct a histogram corresponding to the original data and histograms corresponding to each of the new frequency distributions. Describe the shapes of the three histograms. Does the histogram with six classes capture the distribution of the data? Does the histogram with four classes capture the distribution of the data?

The frequency distribution below summarizes the home sale prices in the city of Summerhill for the month of June. Determine the class midpoint for class 235.0-265.9. $\begin{array} { | c | c | } \hline \text { (Sale price in thousand \$) } & \text { Frequency } \\\hline 80.0 - 110.9 & 2 \\111.0 - 141.9 & 5 \\142.0 - 172.9 & 7 \\173.0 - 203.9 & 10 \\204.0 - 234.9 & 3 \\235.0 - 265.9 & 1 \\\hline\end{array}$

Construct a pie chart representing the given data set. -A television manufacturer sold three times as many televisions in 2005 as it did in 1995. To illustrate this fact, the manufacturer draws a graph as shown below. The television on the right is three times as tall and three times as wide as the television on the left. Why is this graph misleading? What visual impression is created by the graph?

Analysis of the data from 25 mothers indicates that an infant's birth weight (g), y, can be estimated by a mother's weight (kg), x, using the regression equation $y = 31 x + 1501$ For every ________ kg increase in a mother's Weight, the infant's birth weight increases by ________ g.

The following data set represents Heather's average monthly charges (in $) for cable TV for the past 24 months. 105 125 110 98 102 115 110 123 118 101 95 128 110 105 122 107 118 107 117 125 116 110 101 107 Construct a frequency distribution with 4 classes, a class width of 2 hours, and a lower limit of 100 for class $1 .$

x 0.51 0.02 0.14 0.29 0.34 0.8 0.47 0.71 y 0.31 0.46 -0.12 0.34 -0.05 0.8 0.35 0.47 Which of these choices display the correct scatterplot?

Construct a pie chart representing the given data set. -The following data give the distribution of the types of houses in a town containing 40,000 houses. Capes Garrisons Splits 10,000 14,000 16,000

The frequency distribution for the weekly incomes of students with part-time jobs is given below. Construct the corresponding relative frequency distribution. Round relative frequencies to the nearest Hundredth of a percent if necessary. $\begin{array}{r|c}\text { Income (\$) } & \text { Frequency } \\\hline 200-300 & 55 \\301-400 & 70 \\401-500 & 73 \\501-600 & 68 \\\text { More than 600 } & 10\end{array}$

Use the high closing values of Statstar Inc. stock from the years 2005-2016 to construct a time-series graph. (Let x = 0 represent 2005 and so on.) Identify a trend. Year High Year High 2005 48 2011 62 2006 53 2012 60 2007 47 2013 68 2008 55 2014 42 2009 58 2015 51 2010 61 2016 78

In a survey, 26 voters were asked their ages. The results are shown below. Construct a histogram to represent the data (with 5 classes beginning with a lower class limit of 19.5 and a class width of 10). What is the approximate age at the center? 43 56 28 63 67 66 52 48 37 51 40 60 62 66 45 21 35 49 32 53 61 53 69 31 48 59

The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

Speed Number of cars 0-29 4 30-59 16 60-89 60 90-119 20