Stem and Leaf Plots

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Show your work for each problem.

1.
In a stem-and-leaf plot the key is $4 \mid 7 = 47$ . Which value does stem 6 with leaf 3 stand for?
1. a)603
2. b)36
3. c)63
4. d)6.3
2.
The heights of some plants in cm are shown in this stem-and-leaf plot (key: $2 \mid 3 = 23$ cm):
$\begin{array}{r|l} 1 & 2~5~8 \\ 2 & 0~3~3~7 \\ 3 & 1~4~6 \\ 4 & 2 \end{array}$
How many plants were measured?
3.
The value 58 goes into a stem-and-leaf plot with the key $5 \mid 2 = 52$ . What is its leaf?
1. a)5
2. b)0
3. c)58
4. d)8
4.
The heights of some plants in cm are shown in this stem-and-leaf plot (key: $2 \mid 3 = 23$ cm):
$\begin{array}{r|l} 1 & 2~5~8 \\ 2 & 0~3~3~7 \\ 3 & 1~4~6 \\ 4 & 2 \end{array}$
How tall is the shortest plant, in cm?
5.
The heights of some plants in cm are shown in this stem-and-leaf plot (key: $2 \mid 3 = 23$ cm):
$\begin{array}{r|l} 1 & 2~5~8 \\ 2 & 0~3~3~7 \\ 3 & 1~4~6 \\ 4 & 2 \end{array}$
Find the range of the plant heights.
6.
Make an ordered stem-and-leaf plot of these ages: 34, 27, 41, 29, 36, 22, 38, 45 (key: $2 \mid 2 = 22$ ).
7.
The heights of some plants in cm are shown in this stem-and-leaf plot (key: $2 \mid 3 = 23$ cm):
$\begin{array}{r|l} 1 & 2~5~8 \\ 2 & 0~3~3~7 \\ 3 & 1~4~6 \\ 4 & 2 \end{array}$
Find the median plant height.
8.
The heights of some plants in cm are shown in this stem-and-leaf plot (key: $2 \mid 3 = 23$ cm):
$\begin{array}{r|l} 1 & 2~5~8 \\ 2 & 0~3~3~7 \\ 3 & 1~4~6 \\ 4 & 2 \end{array}$
What is the mode of the plant heights (in cm)?
1. a)23
2. b)31
3. c)27
4. d)20
9.
This stem-and-leaf plot shows how many minutes some people exercised on one day (key: $4 \mid 2 = 42$ minutes):
$\begin{array}{r|l} 3 & 5~8 \\ 4 & 0~2~2~6~9 \\ 5 & 1~3~7 \\ 6 & 0~4 \end{array}$
How many people exercised for 50 minutes or more?
10.
This stem-and-leaf plot shows how many minutes some people exercised on one day (key: $4 \mid 2 = 42$ minutes):
$\begin{array}{r|l} 3 & 5~8 \\ 4 & 0~2~2~6~9 \\ 5 & 1~3~7 \\ 6 & 0~4 \end{array}$
Find the median number of minutes.
11.
How are the values 7, 12 and 15 written in a stem-and-leaf plot with the key $1 \mid 2 = 12$ ?
1. a) $7 \mid 0$ and $1 \mid 2~5$
2. b) $0 \mid 7~1~2~5$
3. c) $1 \mid 7~2~5$
4. d) $0 \mid 7$ and $1 \mid 2~5$
12.
The 100 m times of 8 runners in seconds are shown here (key: $13 \mid 5 = 13.5$ seconds):
$\begin{array}{r|l} 12 & 4~8 \\ 13 & 1~1~5~9 \\ 14 & 2~6 \end{array}$
What is the range of the times, in seconds? Give a decimal number.
13.
Five friends recorded how many push-ups they could do (key: $2 \mid 4 = 24$ ):
$\begin{array}{r|l} 2 & 4~6 \\ 3 & 0~5~5 \end{array}$
Find the mean number of push-ups.
14.
The 100 m times of 8 runners in seconds are shown here (key: $13 \mid 5 = 13.5$ seconds):
$\begin{array}{r|l} 12 & 4~8 \\ 13 & 1~1~5~9 \\ 14 & 2~6 \end{array}$
Find the median time.
15.
This back-to-back plot shows the points two basketball teams scored per game (key: $2 \mid 1 = 12$ for Team A, $1 \mid 5 = 15$ for Team B):
$\begin{array}{r|c|l} \text{Team A} & \text{Stem} & \text{Team B} \\ \hline 7~2 & 1 & 5 \\ 8~5~4~1 & 2 & 0~3~6 \\ 3~0 & 3 & 1~4~4~8 \\ & 4 & 2~5 \end{array}$
By how many points is Team B's median higher than Team A's?
16.
This back-to-back plot shows the points two basketball teams scored per game (key: $2 \mid 1 = 12$ for Team A, $1 \mid 5 = 15$ for Team B):
$\begin{array}{r|c|l} \text{Team A} & \text{Stem} & \text{Team B} \\ \hline 7~2 & 1 & 5 \\ 8~5~4~1 & 2 & 0~3~6 \\ 3~0 & 3 & 1~4~4~8 \\ & 4 & 2~5 \end{array}$
Which team's points have the larger range?
1. a)Both teams, range 21
2. b)Team A, range 21
3. c)Team A, range 33
4. d)Team B, range 30
17.
This back-to-back plot shows the points two basketball teams scored per game (key: $2 \mid 1 = 12$ for Team A, $1 \mid 5 = 15$ for Team B):
$\begin{array}{r|c|l} \text{Team A} & \text{Stem} & \text{Team B} \\ \hline 7~2 & 1 & 5 \\ 8~5~4~1 & 2 & 0~3~6 \\ 3~0 & 3 & 1~4~4~8 \\ & 4 & 2~5 \end{array}$
In how many games did Team B score more than 30 points?
18.
The scores of 11 players in a video game level are 41, 42, 44, 46, 47, 47, 48, 52, 53, 55, 58. They are shown with split stems: the first row of each stem holds the leaves 0-4, the second row the leaves 5-9 (key: $4 \mid 1 = 41$ ).
$\begin{array}{r|l} 4 & 1~2~4 \\ 4 & 6~7~7~8 \\ 5 & 2~3 \\ 5 & 5~8 \end{array}$
Answer the questions about the plot.