Download Solutions to Selected Chapter 22 End of Chapter Problems 10th

Solutions to Selected Chapter 22 End of Chapter Problems
1. Find the mean.
I. Clear the L1 column. Move the cursor to the top of the column so that the L1 is blacken
in. Press CLEAR ENTER
II. Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
III. Find the mean.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
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Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
Press 2nd 1 for L1
Then press ENTER .
x
is the mean
= 8
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2. Find the mean.
I. Clear the L1 column. Move the cursor to the top of the column so that the L1 is blacken
in. Press CLEAR ENTER
II. Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
III. Find the mean.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
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Right Arrow Button
The CALC screen will appear.
Press 2nd 1 for L1
x
is the mean
Press 1 for 1- VAR STATS
Then press ENTER .
= 14
3. Find the mean.
I.
Clear the L1 column. Move the cursor to the top of the column so that the L1 is
blacken in. Press CLEAR ENTER
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II.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
III.
Find the mean.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
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Press 1 for 1- VAR STATS
Press 2nd 1 for L1
is the mean
x
Then press ENTER .
= $77.23
4. Find the mean.
I.
Clear the L1 column. Move the cursor to the top of the column so that the L1 is
blacken in. Press CLEAR ENTER
II.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
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III.
Find the mean.
Press the STAT button.
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The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 2nd 1 for L1
x
is the mean
Press 1 for 1- VAR STATS
Then press ENTER .
= $421.32
151
5. Calculate the GPA. Given A = 4; B = 3; C = 2; D = 1; F = 0
Courses
Computer Principles
Business Law
Logic
Biology
Marketing
Grade = Value
B=3
C=2
D=1
A=4
B=3
Credits = Frequency
3 credits
3 credits
3 credits
4 credits
3 credits
a.) Enter the values into L1 and the frequency of occurrence in L2 .
STAT 1 for Edit
b.) Now you are ready to calculate the weighted mean. Go to STAT
STATS L1 , L2 ENTER
ENTER
GPA = 2.6875 = 2.7 rounded to the tenths place
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CALC
1 : 1 VAR
6. Calculate the weighted mean.
To find the weighted mean using the TI-84 or TI-83 calculator:
a.) Enter the values into L1 .
STAT 1 for Edit
Type in the data in column 1 under L1 . Press ENTER after each number.
b.) Enter the frequency of occurrence into L2 .
Type in the data in column 1 under L2 . Press ENTER after each number.
Remember if you need to clear a list of data, move the cursor to the top of the column with the
up arrow. When the cursor is on the L1 , press CLEAR
ENTER . You can do the same for L2 .
c.) Now you are ready to calculate the weighted mean. Go to STAT
CALC
1 : 1 VAR
STATS L1 , L2 ENTER
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 . The
L2 is above the number 2. You will need to press the 2ND button and then 2 . The comma is
key above the 7 key.
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The screens should be:
The weighted mean is 3.714285714 = 3.7 rounded to the tenths place.
7. Find the median.
I.
Clear the L1 column. Move the cursor to the top of the column so that the L1 is
blacken in. Press CLEAR ENTER
II.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
154
III.
Find the median.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 2nd 1 for L1
Press 1 for 1- VAR STATS
Then press ENTER .
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Press the down arrow several times. The arrow beside the “n” tells you there is another screen.
Med is the median
Med is the median = 31.5
8. Find the median.
I.
Clear the L1 column. Move the cursor to the top of the column so that the L1 is
blacken in. Press CLEAR ENTER
II.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
(Note: you will not be able to see all of the data values on the screen.)
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III.
Find the median.
Press the STAT button.
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The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 2nd 1 for L1
Press 1 for 1- VAR STATS
Then press ENTER .
Press the down arrow several times. The arrow beside the “n” tells you there is another screen.
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Med is the median
Med is the median = 82
12.
I. Enter data into calculator.
Press the STAT button.
Press 1 for Edit
The STAT screen will appear.
The screen should appear as follows:
Type in the “x axis” data in column 1 under L1 . Press ENTER after each number. Type in the
“y axis” data in column 2 under L2 . Press ENTER after each number.
Note: year 1 is 2009.
II. Set the Window for the graph.
Press the Window button.
The following screen will appear. Note: your calculator values may be set for other values.
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Change the values to reflect the domain and range of your values.
Set the window as follows:
Yscl is the increment on the y axis.
III. Clear the Y  .
Press Y  . Press the CLEAR key to clear any equations in Y  .
IV. Draw the Graph.
Press 2nd Y  for STAT PLOT.
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Press ENTER
The cursor is blinking. Press ENTER while the cursor is on the ON . This turns the STAT
PLOT on.
Now move the cursor down and to the right. The cursor should now be on the top middle graph.
Press ENTER .
Press GRAPH .
You can also add text to the graph.
Press the 2nd PRGM key for DRAW. Scroll down until you reach 0:Text(
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Press ENTER . You should now have a blinking cursor on the screen.
Move the cursor using the up, down, left, and right arrows to the place you want to have the text.
Press 2nd ALPHA for A-LOCK (ALPHA LOCK).
The letters of the alphabet are above each key. For example, if you press 9, you will get the Q.
Notice when you are typing letters, the shaded “A” is in the top right hand corner of the graph.
16. Find the mean, median, and mode.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
II.
Find the mean and median.
Press the STAT button.
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The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
Press 2nd 1 for L1
Then press ENTER .
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
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III.
x
Read the display. You will need to press the down arrow to see all of the information.
is the mean
= $2,958
(Press the down arrow several times.)
Med is the median
= $2,932
Mode 2,880 (not on calculator)
21. Calculate the weighted mean.
To find the weighted mean using the TI-84 or TI-83 calculator:
a.) Enter the values into L1 .
STAT 1 for Edit
Type in the data in column 1 under L1 . Press ENTER after each number.
b.) Enter the frequency of occurrence into L2 .
Type in the data in column 1 under L2 . Press ENTER after each number.
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Remember if you need to clear a list of data, move the cursor to the top of the column with the
up arrow. When the cursor is on the L1 , press CLEAR
ENTER . You can do the same for L2 .
c.) Now you are ready to calculate the weighted mean. Go to STAT
CALC
1 : 1 VAR
STATS L1 , L2 ENTER
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 . The
L2 is above the number 2. You will need to press the 2ND button and then 2 . The comma is
key above the 7 key.
The screens should be:
The weighted mean is 250.3333333 = 250.33 rounded to the hundredths place.
165
22.
I.
Enter data into calculator.
Press the STAT button.
Press 1 for Edit
The STAT screen will appear.
The screen should appear as follows:
Type in the “x axis” data in column 1 under L1 . Press ENTER after each number. Type in the
“y axis” data in column 2 under L2 . Press ENTER after each number.
Note: year 1 is 2009.
II.
Set the Window for the graph.
Press the Window button.
The following screen will appear. Note: your calculator values may be set for other values.
Change the values to reflect the domain and range of your values.
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Set the window as follows:
Yscl is the increment on the y axis.
III.
Clear the Y  .
Press Y  . Press the CLEAR key to clear any equations in Y  .
IV.
Draw the Graph.
Press 2nd Y  for STAT PLOT.
Press ENTER
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The cursor is blinking. Press ENTER while the cursor is on the ON . This turns the STAT
PLOT on.
Now move the cursor down and to the right. The cursor should now be on the top middle graph.
Press ENTER .
Press GRAPH .
You can also add text to the graph.
Press the 2nd PRGM key for DRAW. Scroll down until you reach 0:Text(
Press ENTER . You should now have a blinking cursor on the screen.
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Move the cursor using the up, down, left, and right arrows to the place you want to have the text.
Press 2nd ALPHA for A-LOCK (ALPHA LOCK).
The letters of the alphabet are above each key. For example, if you press 9, you will get the Q.
Notice when you are typing letters, the shaded “A” is in the top right hand corner of the graph.
Learning Unit 22-3 Optional Assignments
1.
Highest value – lowest value = 133 – 35 = 98
2.
Find the standard deviation for the sample.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
II.
Find the sample standard deviation.
Press the STAT button.
The STAT screen will appear.
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Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
Press 2nd 1 for L1
Then press ENTER .
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
III.
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Read the display. You will need to press the down arrow to see all of the information.
sx is the standard deviation (for a sample) = 17.95683714 = 17.96 rounded to the hundredths
place.
3.
Find the standard deviation for the sample.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
II.
Find the sample standard deviation.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
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Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
Press 2nd 1 for L1
Then press ENTER .
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
III.
sx
4.
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Read the display. You will need to press the down arrow to see all of the information.
is the standard deviation (for a sample) = 4.274252071= 4.3 rounded to the tenths place.
Find the standard deviation for the sample.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
(You will not be able to see all of the data
on the screen.)
II.
Find the sample standard deviation.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
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Press 2nd 1 for L1
Then press ENTER .
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
III.
Read the display. You will need to press the down arrow to see all of the information.
sx is the standard deviation (for a sample) = 10.54858888 = 10.5 rounded to the tenths place
8. Find the standard deviation and the mean for the sample.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
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(You will not be able to see all of the
data on the screen.)
175
II.
Find the sample standard deviation and mean.
Press the STAT button.
The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 2nd 1 for L1
Then press ENTER .
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Press 1 for 1- VAR STATS
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
III.
x
sx
Read the display. You will need to press the down arrow to see all of the information.
is the mean = 306.7333333 = $306.73
is the standard deviation (for a sample) = 118.6805235= $118.68
9. Find the standard deviation and the mean for the sample.
I.
Enter data.
Steps: Press the STAT button. Press 1 for Edit. Enter each value. Press the ENTER button
after each value.
Press the STAT button.
The STAT screen will appear.
(You will not be able to see all of the
data on the screen.)
II.
Find the sample standard deviation and mean.
Press the STAT button.
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The STAT screen will appear.
Move the cursor to the right one time. Use the right arrow key above the CLEAR button to
move to the right.
Right Arrow Button
The CALC screen will appear.
Press 1 for 1- VAR STATS
Press 2nd 1 for L1
Then press ENTER .
Note: The L1 is above the number 1. You will need to press the 2ND button and then 1 .
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III.
Read the display. You will need to press the down arrow to see all of the information.
is the mean = 64.6
sx
is the standard deviation (for a sample) = 5.019960159 = 5.02 rounded to the
hundredths place .
x
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