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Exam 2: Descriptive Statistics: Tabular and Graphical Displays

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Question 31

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A cumulative relative frequency distribution shows

A) the proportion of data items with values less than or equal to the upper limit of each class
B) the proportion of data items with values less than or equal to the lower limit of each class
C) the percentage of data items with values less than or equal to the upper limit of each class
D) the percentage of data items with values less than or equal to the lower limit of each class

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Question 32

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Which of the following graphical methods shows the relationship between two variables?

A) pie chart
B) Ogive
C) crosstabulation
D) dot plot

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Question 33

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The most common graphical presentation of quantitative data is a

d. 60 ANSWER: c Exhibit 2-4 A sample of 15 children shows their favorite restaurant: $\begin{array}{|l|l|l|}\hline \text { McDonalds } & \text { Luppi's } & \text { Mellow Mushroom } \\\hline \text { Friday's } & \text { McDonalds } & \text { McDonalds } \\\hline \text { Pizza Hut } & \text { Taco Bell } & \text { McDonalds } \\\hline \text { Mellow Mushroom } & \text { Luppi's } & \text { Pizza Hut } \\\hline \text { McDonalds } & \text { Friday's } & \text { McDonalds }\\\hline\end{array}$ -Refer to Exhibit 2-4. Determine the percent frequency for McDonalds.

Construct a stem-and-leaf display for the following data. $\begin{array} { l l l l l l l l l } 12 & 52 & 51 & 37 & 47 & 40 & 38 & 26 & 57&31 \\49 & 43 & 45 & 19 & 36 & 32 & 44 & 48 & 22&18\end{array}$

The following data shows the price of PAO, Inc. stock over the last eight months. $\begin{array}{|c|c|}\hline \text { Month } & \text { Price } \$ \text { ) } \\\hline 1 & 2.08 \\\hline 2 & 2.00 \\\hline 3 & 2.03 \\\hline 4 & 1.91 \\\hline 5 & 1.88 \\\hline 6 & 1.87 \\\hline 7 & 1.70 \\\hline 8 & 1.67 \\\hline\end{array}$ a. Develop a scatter diagram and draw a trend line through the points. b. What kind of relationship exists between stock price and time negative, positive, or no relation)?

Exhibit 2-1 The number of hours worked per week) by 400 statistics students are shown below. $\begin{array} { c c } \text { Number of Hours } & \text { Frequency } \\0 - 9 & 20 \\10 - 19 & 80 \\20 - 29 & 200 \\30 - 39 & 100\end{array}$ -Refer to Exhibit 2-1. The cumulative frequency for the class of 20 - 29

Exhibit 2-1 The number of hours worked per week) by 400 statistics students are shown below. $\begin{array} { c c } \text { Number of Hours } & \text { Frequency } \\0 - 9 & 20 \\10 - 19 & 80 \\20 - 29 & 200 \\30 - 39 & 100\end{array}$ -Refer to Exhibit 2-1. The class width for this distribution

Exhibit 2-3 Michael's Compute-All, a national computer retailer, has kept a record of the number of laptop computers they have sold for a period of 80 days. Their sales records are shown below: $\begin{array}{|c|r|}\hline \text { Number of Laptops Sold } & \text { Number of Days } \\\hline 0-19 & 5 \\\hline 20-39 & 15 \\\hline 40-59 & 30 \\\hline 60-79 & 20 \\\hline 80-99 & 10 \\\hline \text { Total } & 80 \\\hline\end{array}$ -Refer to Exhibit 2-3. If one develops a cumulative frequency distribution for the above data, the last class will have a frequency of

The grades of 10 students on their first management test are shown below. $\begin{array} { l l l l } 94 & 61 & 96 & 66&92 \\68 & 75 & 85 & 84&78\end{array}$ a. Construct a frequency distribution. Let the first class be 60 - 69. b. Construct a cumulative frequency distribution. c. Construct a relative frequency distribution.

A frequency distribution is a tabular summary of data showing the

Which of the following is a graphical summary of a set of data in which each data value is represented by a dot above the axis?

A histogram is

Five hundred recent graduates indicated their majors as follows. $\begin{array}{lr}\text { Major }&\text { Frequency }\\\text { Accounting } & 60 \\\text { Finance } & 100 \\\text { Economics } & 40 \\\text { Management } & 120 \\\text { Marketing } & 80 \\\text { Engineering } & 60 \\\text { Computer Science } & 40\\\text { Total }&500\end{array}$ a. Construct a relative frequency distribution. b. Construct a percent frequency distribution.

Exhibit 2-2 A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major $\begin{array} { l c c c c } \text { Graduate School } & \text { Business } & \text { Engin eering } & \text { Other s } & \text { Total } \\\text { Yes } & 70 & 84 & 126 & 280 \\\text { No } & 182 & 208 & 130 & 520 \\\text { Total } & 252 & 292 & 256 & 800\end{array}$ $\begin{array} { l c c c c } \text { Graduate School } & \text { Business } & \text { Engin eering } & \text { Other s } & \text { Total } \\\text { Yes } & 70 & 84 & 126 & 280 \\\text { No } & 182 & 208 & 130 & 520 \\\text { Total } & 252 & 292 & 256 & 800\end{array}$ -Refer to Exhibit 2-2. What percentage of the students does not plan to go to graduate school?

Forty shoppers were asked if they preferred the weight of a can of soup to be 6 ounces, 8 ounces, or 10 ounces. Below you are given their responses. $\begin{array} { r r r r r r r r r } 6&6&6&10&8&8&8&10&6&6\\10&10&8&8&6&6&6&8&6&6\\8&8&8&10&8&8&6&10&8&6\\6&8&8&8&10&10&8&10&8&6\end{array}$ a. Construct a frequency distribution and graphically represent the frequency distribution. b. Construct a relative frequency distribution and graphically represent the relative frequency distribution.

Conclusions drawn from two or more separate crosstabulations that can be reversed when the data are aggregated into a single crosstabulation is known as

Exhibit 2-3 Michael's Compute-All, a national computer retailer, has kept a record of the number of laptop computers they have sold for a period of 80 days. Their sales records are shown below: $\begin{array}{|c|r|}\hline \text { Number of Laptops Sold } & \text { Number of Days } \\\hline 0-19 & 5 \\\hline 20-39 & 15 \\\hline 40-59 & 30 \\\hline 60-79 & 20 \\\hline 80-99 & 10 \\\hline \text { Total } & 80 \\\hline\end{array}$ -Refer to Exhibit 2-3. The class width of the above distribution is

The sum of frequencies for all classes will always equal

In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to