3E Stem-and-Leaf Plots
Display the data in a stem-and-leaf plot.
The stems are 0, 1, and 2. The least value, 8, has a 0 in the tens place. The greatest value, 25, has a 2 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
0 88
1 520658
2 50
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
The stems are 1, 2, 3, and 4. The least value, 16, has a 1 in the tens place. The greatest value, 48, has a 4 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
1 96
2 13559
3 13459
4 278
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
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CAMP The stem-and-leaf plot below shows the ages of students in a pottery class.
Page 1
3E Stem-and-Leaf Plots
The stems are 1, 2, 3, and 4. The least value, 16, has a 1 in the tens place. The greatest value, 48, has a 4 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
1 96
2 13559
3 13459
4 278
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
CAMP The stem-and-leaf plot below shows the ages of students in a pottery class.
a. What is the range of the ages of the students?
b. Find the median and mode of the data.
c. If an additional student was 6 years old, which measure of central tendency would be most affected?
a. range: greatest age least age
14 9 = 5
So, the range of the ages is 5 years.
b. median: middle value, 11
mode: most frequent value, 11
c. median without outlier: 11
median with outlier: 11
mode without outlier: 11
mode with outlier: 11
mean without outlier:
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mean
with-outlier:
The median and mode stayed the same, while the mean increased by 11.15
most affected.
Page 2
10.79 or 0.36. So, the mean would be
3E Stem-and-Leaf Plots
CAMP The stem-and-leaf plot below shows the ages of students in a pottery class.
a. What is the range of the ages of the students?
b. Find the median and mode of the data.
c. If an additional student was 6 years old, which measure of central tendency would be most affected?
a. range: greatest age least age
14 9 = 5
So, the range of the ages is 5 years.
b. median: middle value, 11
mode: most frequent value, 11
c. median without outlier: 11
median with outlier: 11
mode without outlier: 11
mode with outlier: 11
mean without outlier:
mean with outlier:
The median and mode stayed the same, while the mean increased by 11.15
most affected.
10.79 or 0.36. So, the mean would be
Display the data in a stem-and-leaf plot.
The stems are 7, 8, and 9. The least value, 70, has a 7 in the tens place. The greatest value, 96, has a 9 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
7 029637
8 00
9 61353031
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
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Page 3
mean with outlier:
The median and mode
stayed the same, while the mean increased by 11.15
3E Stem-and-Leaf
Plots
10.79 or 0.36. So, the mean would be
most affected.
Display the data in a stem-and-leaf plot.
The stems are 7, 8, and 9. The least value, 70, has a 7 in the tens place. The greatest value, 96, has a 9 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
7 029637
8 00
9 61353031
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
The stems are 1, 2, and 3. The least value, 13, has a 1 in the tens place. The greatest value, 38, has a 3 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
1 533
2 840
3 280165828
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
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3E Stem-and-Leaf Plots
The stems are 1, 2, and 3. The least value, 13, has a 1 in the tens place. The greatest value, 38, has a 3 in the tens
place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
1 533
2 840
3 280165828
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
The stems are 10, 11, 12, 13, 14, and 15. The least value, 103, has a 1 in the hundreds place and a 0 in the tens
place. The greatest value, 159, has a 1 in the hundreds place and a 5 in the tens place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
10 3
11 1
12
13 9 4 3
14 2 9
15 1 8 4 7 9
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
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Page 5
3E Stem-and-Leaf Plots
The stems are 10, 11, 12, 13, 14, and 15. The least value, 103, has a 1 in the hundreds place and a 0 in the tens
place. The greatest value, 159, has a 1 in the hundreds place and a 5 in the tens place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
10 3
11 1
12
13 9 4 3
14 2 9
15 1 8 4 7 9
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
The stems are 22, 23, 24, 25, 26, and 27. The least value, 225, has a 2 in the hundreds place and a 2 in the tens
place. The greatest value, 278, has a 2 in the hundreds place and a 7 in the tens place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
22 5 7 9
23 0
24 6 3
25
26 9 9 7
27 8 8 8
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
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Page 6
3E Stem-and-Leaf Plots
The stems are 22, 23, 24, 25, 26, and 27. The least value, 225, has a 2 in the hundreds place and a 2 in the tens
place. The greatest value, 278, has a 2 in the hundreds place and a 7 in the tens place.
List the stems from least to greatest in the Stem column. Write the leaves, the ones digits, to the right of the
corresponding stems.
Stem Leaf
22 5 7 9
23 0
24 6 3
25
26 9 9 7
27 8 8 8
Order the leaves and write a key that explains how to read the stems and leaves. Include a title.
CYCLING The number of Tour de France titles won by countries is shown.
a. Find the range of titles won.
b. Find the median and mode of the data.
c. Which measure of central tendency is most affected by the outlier?
a. range: greatest number of titles
36 8 = 28
So, the range is 28.
b. median: middle value, 9.5
mode: most frequent value, 8
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c. median
9
median with outlier: 9.5
mode without outlier: 8
least number of titles
Page 7
3E Stem-and-Leaf Plots
CYCLING The number of Tour de France titles won by countries is shown.
a. Find the range of titles won.
b. Find the median and mode of the data.
c. Which measure of central tendency is most affected by the outlier?
a. range: greatest number of titles
36 8 = 28
So, the range is 28.
b. median: middle value, 9.5
mode: most frequent value, 8
c. median without outlier: 9
median with outlier: 9.5
mode without outlier: 8
mode with outlier: 8
least number of titles
mean without outlier:
mean with outlier:
The mode did not change. The median increased by 9.5 9, or 0.5, while the mean increased by 14.83
4.23. Since 4.23 > 0.5, the mean would be most affected.
10.6, or
ELECTRONICS The stem-and-leaf plot shows the costs of various DVD players at an electronics store.
a. What is the range of the prices?
b. Find the median and mode of the data.
c. If an additional DVD player costs $153, which measure of central tendency would be most affected?
a. range: greatest cost lowest cost
$127 $82 = $45
So, the range is $45.
b. median: middle value, $108
mode: most frequent value, $115
c. median without outlier: $108
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median with outlier: 109
mode without outlier: $115
mode with outlier: $115
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mean with outlier:
The mode did not change.
3E Stem-and-Leaf
PlotsThe median increased by 9.5
9, or 0.5, while the mean increased by 14.83
10.6, or
4.23. Since 4.23 > 0.5, the mean would be most affected.
ELECTRONICS The stem-and-leaf plot shows the costs of various DVD players at an electronics store.
a. What is the range of the prices?
b. Find the median and mode of the data.
c. If an additional DVD player costs $153, which measure of central tendency would be most affected?
a. range: greatest cost lowest cost
$127 $82 = $45
So, the range is $45.
b. median: middle value, $108
mode: most frequent value, $115
c. median without outlier: $108
median with outlier: 109
mode without outlier: $115
mode with outlier: $115
mean without outlier:
mean with outlier:
The mode did not change. The median increased by $109 $108, or $1, while the mean increased by $109.36
$107.29, or $2.07. Since $2.07 > $1, the mean would be most affected.
HISTORY Refer to the stem-and-leaf plot below.
a. How many people signed the Declaration of Independence?
b. What was the age of the youngest signer?
c. What is the range of the ages of the signers?
d. Based on the data, can you conclude that the majority of the signers were 30 49 years old? Explain your
reasoning.
a. There are 56 values on the stem-and-leaf plot, so 56 people signed the Declaration of Independence.
b. The age of the youngest signer is the least value on the stem-and-leaf plot, 26.
c. range: greatest age least age
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26 = 44
So, the range of ages is 44 years.
d. There are 16 + 19 or 35 signers that were 30 49 years old. There were 56 signers total. Since half of 56 is about
mean with outlier:
The mode did not change.
3E Stem-and-Leaf
PlotsThe median increased by $109
$108, or $1, while the mean increased by $109.36
$107.29, or $2.07. Since $2.07 > $1, the mean would be most affected.
HISTORY Refer to the stem-and-leaf plot below.
a. How many people signed the Declaration of Independence?
b. What was the age of the youngest signer?
c. What is the range of the ages of the signers?
d. Based on the data, can you conclude that the majority of the signers were 30 49 years old? Explain your
reasoning.
a. There are 56 values on the stem-and-leaf plot, so 56 people signed the Declaration of Independence.
b. The age of the youngest signer is the least value on the stem-and-leaf plot, 26.
c. range: greatest age least age
70 26 = 44
So, the range of ages is 44 years.
d. There are 16 + 19 or 35 signers that were 30 49 years old. There were 56 signers total. Since half of 56 is about
28, and 35 > 28, it can be concluded that the majority of the signers were 30 49 years old.
Sample reasoning: Thirty-five of the 56 signers were 30 49 years old. Since 35 out of 56 is greater than half, you
can say that the majority of the signers were 30 49 years old.
Denzell s science quiz scores are 11, 12, 13, 21, and 35. Which stem-and-leaf plot best represents this data?
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3E
So, the range of ages is 44 years.
d. There are 16 + 19 or 35 signers that were 30 49 years old. There were 56 signers total. Since half of 56 is about
28, and 35 > 28, it can be concluded that the majority of the signers were 30 49 years old.
Sample reasoning: Thirty-five
Stem-and-Leaf
Plots of the 56 signers were 30 49 years old. Since 35 out of 56 is greater than half, you
can say that the majority of the signers were 30 49 years old.
Denzell s science quiz scores are 11, 12, 13, 21, and 35. Which stem-and-leaf plot best represents this data?
The stems are 1, 2, and 3. The least value, 11, has a 1 in the tens place. The greatest value, 35, has a 3 in the tens
place.
The leaves for the stem 1 should be 1, 2, and 3. The only plot that shows these leaves is the one in choice C, so this
plot best represents this data. The answer is C.
The stem-and-leaf plot shows the points scored by the Harding Middle School basketball team.
Which one of the following statements is true concerning how the measures of central tendency are affected by the
inclusion of the outlier?
F. The mode is most affected.
G. The median is not affected.
H. The mean is most affected.
I. None of the measures of central tendency are affected.
The mode, 48, remains the same with or without the outlier. So, choice F is false. The median changes from 52 with
So, choice G is false, and choice I is false. The answer is H.
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Check: The mode remains unchanged. The median changes by 52 51 or 1. The mean changes by 55.62 53.25 or
2.37. Since 2.37 > 1, the mean is most affected.
the outlier
51 without
the outlier.
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3E
The stems are 1, 2, and 3. The least value, 11, has a 1 in the tens place. The greatest value, 35, has a 3 in the tens
place.
The leaves for the stem
1 should be 1, 2, and 3. The only plot that shows these leaves is the one in choice C, so this
Stem-and-Leaf
Plots
plot best represents this data. The answer is C.
The stem-and-leaf plot shows the points scored by the Harding Middle School basketball team.
Which one of the following statements is true concerning how the measures of central tendency are affected by the
inclusion of the outlier?
F. The mode is most affected.
G. The median is not affected.
H. The mean is most affected.
I. None of the measures of central tendency are affected.
The mode, 48, remains the same with or without the outlier. So, choice F is false. The median changes from 52 with
the outlier to 51 without the outlier. So, choice G is false, and choice I is false. The answer is H.
Check: The mode remains unchanged. The median changes by 52 51 or 1. The mean changes by 55.62 53.25 or
2.37. Since 2.37 > 1, the mean is most affected.
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