Question 1

Compute the Range of a Variable from Raw Data
-$2.2,5.2,1.2,4.8,6.6,3.1$

Accepted Answer

A)  $5.4$ 
B)  $6.6$ 
C)  $1.2$ 
D)  $3.9$ 
A)  $5.4$ 
B)  $6.6$ 
C)  $1.2$ 
D)  $3.9$

Question 2

Determine the Mode of a Variable from Raw Data
-Which measure of central tendency may have more than one value in a numeric data set

Accepted Answer

A)  Mode 
B)  Median 
C)  Mean 
D)  Midrange 
A)  Mode 
B)  Median 
C)  Mean 
D)  Midrange

Question 3

Determine and Interpret z-Scores
-A highly selective boarding school will only admit students who place at least 1.5 z-scores above the mean on a standardized test that has a mean of 110 and a standard deviation of 12. What is the minimum score that an applicant must make on the test to be accepted

Accepted Answer

A)  128 
B)  92 
C)  122 
D)  98 
A)  128 
B)  92 
C)  122 
D)  98

Question 4

Provide an appropriate response.
-The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below.
$A : 4 , \quad B : 3 , \quad C : 2 , \quad$ D: $1 , \quad$ F: 0
$\begin{array}{cc}
\text { Grade } & \text { Credit Hours } \
\hline \text { A } & 4 \
\text { D } & 1 \
\text { A } & 3 \
\text { C } & 2 \
\text { D } & 4
\end{array}$

Accepted Answer

A)  $2.64$ 
B)  $2.8$ 
C)  $2.4$ 
D)  $3.71$ 
A)  $2.64$ 
B)  $2.8$ 
C)  $2.4$ 
D)  $3.71$

Question 5

Provide an appropriate response.
-For the following data, approximate the mean number of unused vacation days at the end of the year.
 $\begin{array}{c|c}
\text { Days } & \text { Frequency } \
\hline 1-2 & 1 \
3-4 & 22 \
5-6 & 3 \
7-8 & 18 \
9-10 & 2
\end{array}$

Accepted Answer

A) $5.4$ 
B)  $4.9$ 
C)  $5.9$ 
D)  $6.6$ 
A) $5.4$ 
B)  $4.9$ 
C)  $5.9$ 
D)  $6.6$

Question 6

Draw and Interpret Boxplots
-SAS was used to compare the high school dropout rates for the 50 states in 1982 and 1984. The box plots generated for these dropout rates are shown below. Compare the center of the distributions and the variation of the distributions for the two years.

Accepted Answer

A)  Dropout rates had a higher average with less variability in 1982 than in 1984. 
B)  Dropout rates had a higher average with more variability in 1982 than in 1984. 
C)  Dropout rates had a lower average with more variability in 1982 than in 1984. 
D)  Dropout rates had a lower average with less variability in 1982 than in 1984. 
A)  Dropout rates had a higher average with less variability in 1982 than in 1984. 
B)  Dropout rates had a higher average with more variability in 1982 than in 1984. 
C)  Dropout rates had a lower average with more variability in 1982 than in 1984. 
D)  Dropout rates had a lower average with less variability in 1982 than in 1984.

Question 7

Compute the Standard Deviation of a Variable from Raw Data
-Last year batting averages in professional baseball averaged 0.261 with a high of 0.333 and a low of 0.224 (minimum 250 at-bats). Based on this information, which measure of variation could be calculated

Accepted Answer

A)  range 
B)  variance 
C)  standard deviation 
D)  percentile 
A)  range 
B)  variance 
C)  standard deviation 
D)  percentile

Question 8

Use the Empirical Rule to Describe Data That Are Bell Shaped
-The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and $130 .$

Accepted Answer

A)  $95 \%$ 
B)  $68 \%$ 
C)  $99.7 \%$ 
D)  $100 \%$ 
A)  $95 \%$ 
B)  $68 \%$ 
C)  $99.7 \%$ 
D)  $100 \%$

Question 9

Provide an appropriate response.
-If the graph of a distribution of data shows that the graph is skewed to the left then the

Accepted Answer

A)  Median > Mean 
B)  Mean $\approx$ Median 
C)  Mean > Median 
D)  No conclusion about the relative position of the mean and the median can be made 
A)  Median > Mean 
B)  Mean $\approx$ Median 
C)  Mean > Median 
D)  No conclusion about the relative position of the mean and the median can be made

Question 10

Provide an appropriate response.
-Describe the shape of the histogram. The data set: round-trip commuting times (in minutes) of 20 randomly selected employees $\begin{array} { l l l l l l l l l l } 135 & 120 & 115 & 132 & 136 & 124 & 119 & 145 & 98 & 110 \end{array}$
$\begin{array} { l l l l l l l l l l } 125 & 120 & 115 & 130 & 140 & 105 & 116 & 121 & 125 & 108 \end{array}$

Accepted Answer

A)  skewed to the right 
B)  uniform 
C)  skewed to the left 
D)  symmetric 
A)  skewed to the right 
B)  uniform 
C)  skewed to the left 
D)  symmetric

Question 11

Provide an appropriate response.
-A random sample of sale prices of homes yielded the following summary information: $$\begin{array} { l l l } 
\text { MIN } \$ 42,000 & 25 \% : \$ 81,000 & \text { Median: } \$ 138,000 \
\text { MAX } \$ 271,000 & 75 \% : \$ 169,000 &
\end{array}$$ Comment on a home that had a sale price of $415,000.

Accepted Answer

A)  This value falls outside the upper fence and is considered an outlier. 
B)  This sale price would be expected since it falls inside the lower and upper fences. 
C)  This sale price falls between the lower and upper fences. It can be considered a potential outlier. 
D)  This value falls outside of the third quartile, but cannot be considered an outlier. 
A)  This value falls outside the upper fence and is considered an outlier. 
B)  This sale price would be expected since it falls inside the lower and upper fences. 
C)  This sale price falls between the lower and upper fences. It can be considered a potential outlier. 
D)  This value falls outside of the third quartile, but cannot be considered an outlier.

Question 12

The heights of ten female students (in inches) in a college math class are listed below. Find the mean. $\begin{array} { l l l l l l l l l l } 65 & 66 & 67 & 66 & 67 & 70 & 67 & 70 & 71 & 68 \end{array}$

Accepted Answer

A)  $67.7$ inches 
B)  $65.5$ inches 
C)  $71.1$ inches 
D)  $70.0$ inches 
A)  $67.7$ inches 
B)  $65.5$ inches 
C)  $71.1$ inches 
D)  $70.0$ inches

Question 13

Provide an appropriate response.
-A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought s effect on the size of his trees. To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): $\begin{array} { l l l l l l l l l l l l l } 60 & 57 & 62 & 69 & 46 & 54 & 64 & 60 & 59 & 58 & 75 & 51 & 49 \end{array}$
$\begin{array} { l l l l l l l l l l l l } 67 & 65 & 44 & 58 & 55 & 48 & 62 & 63 & 73 & 52 & 55 & 50 \end{array}$ Which measure of central tendency would be considered the best measure to use in this problem

Accepted Answer

A)  mean 
B)  median 
C)  mode 
D)  range 
A)  mean 
B)  median 
C)  mode 
D)  range

Question 14

Provide an appropriate response.
-If the graph of a distribution of data shows that the graph is skewed to the right then the

Accepted Answer

A) Mean > Median B) Mean $\approx$ Median C) Mean < Median D) No conclusion about the relative position of the mean and the median can be made A) Mean > Median B) Mean $\approx$ Median C) Mean < Median D) No conclusion about the relative position of the mean and the median can be made

Question 15

Use the Empirical Rule to Describe Data That Are Bell Shaped
-A study was designed to investigate the effects of two variables - (1) a student's level of mathematical anxiety and (2) teaching method - on a student's achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 430 with a standard deviation of 50 on a standardized test. Assuming a bell-shaped distribution, what percentage of scores exceeded 330 ?

Accepted Answer

A)  approximately $97.5 \%$ 
B)  approximately $95 \%$ 
C)  approximately $2.5 \%$ 
D)  approximately $84 \%$ 
A)  approximately $97.5 \%$ 
B)  approximately $95 \%$ 
C)  approximately $2.5 \%$ 
D)  approximately $84 \%$

Question 16

Determine the Median of a Variable from Raw Data
-The number of students enrolled in a physics class for the last ten semesters are listed below. Find the median number of students. $\begin{array} { l l l l l l l l l l } 65 & 66 & 67 & 66 & 67 & 70 & 67 & 70 & 71 & 68 \end{array}$

Accepted Answer

A)  67 students 
B)  66 students 
C)  68 students 
D)  70 students 
A)  67 students 
B)  66 students 
C)  68 students 
D)  70 students

Question 17

Compute the Standard Deviation of a Variable from Raw Data
-81, 75, 44, 63, 42, 30, 64, 76, 88

Accepted Answer

A)  19.9 
B)  17.8 
C)  350.2 
D)  315.2 
A)  19.9 
B)  17.8 
C)  350.2 
D)  315.2

Question 18

Compute the Range of a Variable from Raw Data
-The January utility bills (in dollars) for 20 residents of a large city are listed below. Find the range of the data.
$\begin{array} { l l l l l l l l l l } 70 & 72 & 71 & 70 & 69 & 73 & 69 & 68 & 70 & 71 \end{array}$
$\begin{array} { l l l l l l l l l l } 67 & 71 & 70 & 74 & 69 & 68 & 71 & 71 & 71 & 72 \end{array}$

Accepted Answer

A)  $\$ 7$ 
B)  $\$ 2.98$ 
C)  $\$ 2$ 
D)  $\$ 1.73$ 
A)  $\$ 7$ 
B)  $\$ 2.98$ 
C)  $\$ 2$ 
D)  $\$ 1.73$

Question 19

Determine the Median of a Variable from Raw Data
-The number of homework points earned by twelve students in a history class over one term are listed below. Find the mean and median number of points. Round the mean to the nearest whole number. Which measure of central tendency- the mean or the median- best represents the data Explain your reasoning. $$\begin{array} { l l l l l l l l l l l l } 
102 & 56 & 25 & 9 & 9 & 56 & 165 & 88 & 122 & 150 & 91 & 114
\end{array}$$

Accepted Answer

mean: 82;

Question 20

Compute the Range of a Variable from Raw Data
-$$15,17,15,17,15,17,15,17$$

Accepted Answer

A)  2 
B)  17 
C)  16 
D)  4 
A)  2 
B)  17 
C)  16 
D)  4

Compute the Range of a Variable from Raw Data - $2.2,5.2,1.2,4.8,6.6,3.1$

Determine the Mode of a Variable from Raw Data -Which measure of central tendency may have more than one value in a numeric data set

Determine and Interpret z-Scores -A highly selective boarding school will only admit students who place at least 1.5 z-scores above the mean on a standardized test that has a mean of 110 and a standard deviation of 12. What is the minimum score that an applicant must make on the test to be accepted

Provide an appropriate response. -The grades are given for a student for a particular term. Find the grade point average. The point values of grades are given below. $A : 4 , \quad B : 3 , \quad C : 2 , \quad$ D: $1 , \quad$ F: 0 Grade Credit Hours A 4 D 1 A 3 C 2 D 4

Provide an appropriate response. -For the following data, approximate the mean number of unused vacation days at the end of the year. Days Frequency 1-2 1 3-4 22 5-6 3 7-8 18 9-10 2

Draw and Interpret Boxplots -SAS was used to compare the high school dropout rates for the 50 states in 1982 and 1984. The box plots generated for these dropout rates are shown below. Compare the center of the distributions and the variation of the distributions for the two years.

Compute the Standard Deviation of a Variable from Raw Data -Last year batting averages in professional baseball averaged 0.261 with a high of 0.333 and a low of 0.224 (minimum 250 at-bats). Based on this information, which measure of variation could be calculated

Use the Empirical Rule to Describe Data That Are Bell Shaped -The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and $130 .$

Provide an appropriate response. -If the graph of a distribution of data shows that the graph is skewed to the left then the

Provide an appropriate response. -Describe the shape of the histogram. The data set: round-trip commuting times (in minutes) of 20 randomly selected employees 135 120 115 132 136 124 119 145 98 110 125 120 115 130 140 105 116 121 125 108

Provide an appropriate response. -A random sample of sale prices of homes yielded the following summary information: MIN \ 42,000 25\%:\ 81,000 Median: \ 138,000 MAX \ 271,000 75\%:\ 169,000 Comment on a home that had a sale price of $415,000.

The heights of ten female students (in inches) in a college math class are listed below. Find the mean. 65 66 67 66 67 70 67 70 71 68

Provide an appropriate response. -If the graph of a distribution of data shows that the graph is skewed to the right then the

Determine the Median of a Variable from Raw Data -The number of students enrolled in a physics class for the last ten semesters are listed below. Find the median number of students. 65 66 67 66 67 70 67 70 71 68

Compute the Standard Deviation of a Variable from Raw Data -81, 75, 44, 63, 42, 30, 64, 76, 88

Compute the Range of a Variable from Raw Data -The January utility bills (in dollars) for 20 residents of a large city are listed below. Find the range of the data. 70 72 71 70 69 73 69 68 70 71 67 71 70 74 69 68 71 71 71 72

Compute the Range of a Variable from Raw Data - $15,17,15,17,15,17,15,17$

Data Collection

Creating Tables and Drawing Pictures of Data

Describing the Relation Between Two Variables

Probability

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Distributions

Estimating the Value of a Parameter Using Confidence Intervals

Hypothesis Tests Regarding a Parameter

Inference on Two Samples

Inference on Categorical Data

Comparing Three or More Means

Inference of the Least-Squares Regression Model and Multiple Regression

Nonparametric Statistics

Filters

Exam 3: Numerically Summarizing Data

Compute the Range of a Variable from Raw Data - 2.2,5.2,1.2,4.8,6.6,3.12.2,5.2,1.2,4.8,6.6,3.12.2,5.2,1.2,4.8,6.6,3.1