Question 1

Find the mean for the frequency distribution. Round to the nearest tenth.
-

Accepted Answer

A)  26.8 
B)  24.3 
C)  23.3 
D)  7.5 
A)  26.8 
B)  24.3 
C)  23.3 
D)  7.5

Question 2

In a certain distribution, the mean is 50 with a standard deviation of 6 . Use Chebyshev's theorem to tell the probabilitythat a number lies in the following interval. Round your results to the nearest whole percent.
-Between 29 and 71

Accepted Answer

A)  At least $93 \%$ 
B)  At least $90 \%$ 
C)  At least $91 \%$ 
D)  At least $92 \%$ 
A)  At least $93 \%$ 
B)  At least $90 \%$ 
C)  At least $91 \%$ 
D)  At least $92 \%$

Question 3

Find a $z$ score satisfying the given condition.
-$82.9 \%$ of the total area is to the left of $z$.

Accepted Answer

A)  0.95 
B)  -0.96 
C)  -0.95 
D)  0.96 
A)  0.95 
B)  -0.96 
C)  -0.95 
D)  0.96

Question 4

Describe the shape of the given histogram.
-

Accepted Answer

A)  Right skewed 
B)  Uniform 
C)  Left skewed 
D)  Normal 
A)  Right skewed 
B)  Uniform 
C)  Left skewed 
D)  Normal

Question 5

Solve the problem.
-The stem and leaf plot depicts the scores earned on individual driver tests in the month of July.
 
If the minimum passing score is 80 points, how many people passed the driver test?

Accepted Answer

A)  41 
B)  44 
C)  42 
D)  43 
A)  41 
B)  44 
C)  42 
D)  43

Question 6

Find the area under the normal curve.
-Find the percent of the area under a normal curve between the mean and 3.01 deviations from the mean.

Accepted Answer

A)  $50.13 \%$ 
B)  $49.86 \%$ 
C)  $99.87 \%$ 
D)  $49.87 \%$ 
A)  $50.13 \%$ 
B)  $49.86 \%$ 
C)  $99.87 \%$ 
D)  $49.87 \%$

Question 7

Solve the problem.
-The histogram shows the percentage of residential properties in negative equity or near negative equity for several states.  
How many states had their percentage above $30 \%$ ?

Accepted Answer

A)  32.5 
B)  18 
C)  11 
D)  30 
A)  32.5 
B)  18 
C)  11 
D)  30

Question 8

Find the standard deviation. Round to the nearest tenth.
-$18,19,5,11,20,7,7,5,14,19$

Accepted Answer

A)  5.7 
B)  5.8 
C)  6.2 
D)  1.4 
A)  5.7 
B)  5.8 
C)  6.2 
D)  1.4

Question 9

Prepare a frequency distribution for the given data with columns for intervals and frequencies.
-The following is the number of hours students studied per week on average. Use five intervals, starting with $0-4$.
$\begin{array}{llllllllll}1 & 6 & 13 & 15 & 20 & 21 & 15 & 10 & 9 & 1\end{array}$
$\begin{array}{llllllllll}6 & 12 & 16 & 21 & 18 & 14 & 5 & 10 & 14 & 20\end{array}$

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 10

Solve the problem.
-The histogram shows the percentage of residential properties in negative equity or near negative equity for several states.
 
Describe the shape of the distribution.

Accepted Answer

A)  Left skewed 
B)  Right skewed 
C)  Normal 
D)  Uniform 
A)  Left skewed 
B)  Right skewed 
C)  Normal 
D)  Uniform

Question 11

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, anddistribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last thespecified period of time.
-Between 290 hours and 500 hours

Accepted Answer

A)  2913 
B)  2911 
C)  2410 
D)  2413 
A)  2913 
B)  2911 
C)  2410 
D)  2413

Question 12

Find a $z$ score satisfying the given condition.
-$74.9 \%$ of the total area is to the left of $z$.

Accepted Answer

A)  0.66 
B)  -0.67 
C)  0.67 
D)  0.68 
A)  0.66 
B)  -0.67 
C)  0.67 
D)  0.68

Question 13

Find the mean for the list of numbers. Round to the nearest tenth.
-$8.7,5.4,7.1,6.2,7.7,8.7,5.6,7.5,11.4,12.8$

Accepted Answer

A)  9 
B)  8.5 
C)  8.1 
D)  7.7 
A)  9 
B)  8.5 
C)  8.1 
D)  7.7

Question 14

Find the standard deviation. Round to the nearest tenth.
-$4,3,20,8,15,11,15,9,6$

Accepted Answer

A)  5.3 
B)  6.1 
C)  1.3 
D)  5.7 
A)  5.3 
B)  6.1 
C)  1.3 
D)  5.7

Question 15

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, anddistribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last thespecified period of time.
-More than 400 hours

Accepted Answer

A)  4219 
B)  4207 
C)  2207 
D)  4195 
A)  4219 
B)  4207 
C)  2207 
D)  4195

Question 16

Find the mean for the list of numbers. Round to the nearest tenth.
-$56,126,272,165$

Accepted Answer

A)  154.8 
B)  206.3 
C)  154.3 
D)  155.3 
A)  154.8 
B)  206.3 
C)  154.3 
D)  155.3

Question 17

Find a $z$ score satisfying the given condition.
-$33 \%$ of the total area is to the right of $z$.

Accepted Answer

A)  0.45 
B)  -0.44 
C)  0.74 
D)  0.44 
A)  0.45 
B)  -0.44 
C)  0.74 
D)  0.44

Question 18

Solve the problem.
-The stem and leaf plot depicts the average weight (in pounds) of all four year olds receiving their annual influenza vaccine from the local health clinic.
 
How many children weighed 45 pounds at the time of their influenza vaccine?

Accepted Answer

A)  2 
B)  1 
C)  3 
D)  4 
A)  2 
B)  1 
C)  3 
D)  4

Question 19

Find the median.
-The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period.
$\begin{array}{llll}21 & 23 & 21 & 24\end{array}$
$\begin{array}{llll}24 & 21 & 26 & 23\end{array}$
$\begin{array}{llll}31 & 27 & 27 & 25\end{array}$
$\begin{array}{llll}20 & 27 & 21 & 16\end{array}$
$\begin{array}{lll}11 \quad 23 & 23 & 23\end{array}$

Accepted Answer

A)  22.85 
B)  24 
C)  27 
D)  23 
A)  22.85 
B)  24 
C)  27 
D)  23

Question 20

Find the median.
-The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. Round to the nearest hundredth.
$\begin{array}{lllll}3.5 & 1.6 & 2.4 & 3.7 & 4.1\end{array}$
$\begin{array}{llllll}3.9 & 1.0 & 3.6 & 4.2 & 3.4\end{array}$
$\begin{array}{llllll}3.7 & 2.2 & 1.5 & 4.2 & 3.4\end{array}$
$\begin{array}{lllll}2.7 & 0.4 & 3.7 & 2.0 & 3.6\end{array}$

Accepted Answer

A)  3.45 in. 
B)  $3.40 \mathrm{in}$. 
C)  2.94 in. 
D)  $3.50 \mathrm{in}$. 
A)  3.45 in. 
B)  $3.40 \mathrm{in}$. 
C)  2.94 in. 
D)  $3.50 \mathrm{in}$.

Find the mean for the frequency distribution. Round to the nearest tenth. -

In a certain distribution, the mean is 50 with a standard deviation of 6 . Use Chebyshev's theorem to tell the probabilitythat a number lies in the following interval. Round your results to the nearest whole percent. -Between 29 and 71

Find a $z$ score satisfying the given condition. - $82.9 \%$ of the total area is to the left of $z$ .

Describe the shape of the given histogram. -

Solve the problem. -The stem and leaf plot depicts the scores earned on individual driver tests in the month of July. If the minimum passing score is 80 points, how many people passed the driver test?

Find the area under the normal curve. -Find the percent of the area under a normal curve between the mean and 3.01 deviations from the mean.

Find the standard deviation. Round to the nearest tenth. - $18,19,5,11,20,7,7,5,14,19$

Prepare a frequency distribution for the given data with columns for intervals and frequencies. -The following is the number of hours students studied per week on average. Use five intervals, starting with $0-4$ . 1 6 13 15 20 21 15 10 9 1 6 12 16 21 18 14 5 10 14 20

Solve the problem. -The histogram shows the percentage of residential properties in negative equity or near negative equity for several states. Describe the shape of the distribution.

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, anddistribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last thespecified period of time. -Between 290 hours and 500 hours

Find a $z$ score satisfying the given condition. - $74.9 \%$ of the total area is to the left of $z$ .

Find the mean for the list of numbers. Round to the nearest tenth. - $8.7,5.4,7.1,6.2,7.7,8.7,5.6,7.5,11.4,12.8$

Find the standard deviation. Round to the nearest tenth. - $4,3,20,8,15,11,15,9,6$

A company installs 5000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, anddistribution approximated by a normal curve. Find the approximate number of bulbs that can be expected to last thespecified period of time. -More than 400 hours

Find the mean for the list of numbers. Round to the nearest tenth. - $56,126,272,165$

Find a $z$ score satisfying the given condition. - $33 \%$ of the total area is to the right of $z$ .

Solve the problem. -The stem and leaf plot depicts the average weight (in pounds) of all four year olds receiving their annual influenza vaccine from the local health clinic. How many children weighed 45 pounds at the time of their influenza vaccine?

Find the median. -The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. Find the median number of vehicles going through the line in a fifteen-minute period. 21 23 21 24 24 21 26 23 31 27 27 25 20 27 21 16 1123 23 23

Find the median. -The normal monthly precipitation (in inches) for August is listed for 20 different U.S. cities. Find the median of the data. Round to the nearest hundredth. 3.5 1.6 2.4 3.7 4.1 3.9 1.0 3.6 4.2 3.4 3.7 2.2 1.5 4.2 3.4 2.7 0.4 3.7 2.0 3.6

Algebra and Equations

Graphs, Lines, and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Linear Programming

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 10: Introduction to Statistics