Algebra II : Stem and Leaf Plots
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #1 : Stem And Leaf Plots
Above is a stem-and-leaf representation of the scores on a test administered to a group of students. What was the mode of the scores?
The set of scores has more than one mode.
The mode of the data set is the score that occurs the most frequently.
Each "stem" in the left column represents the tens digits of the scores; each of the numbers in its row, or "leaf" represents the units digits. The entry that occurs the most frequently is represented by the "6" in the "7" row, so 76 is the one and only mode.
Example Question #2 : Basic Statistics
Above is a stem-and-leaf plot for the test scores administered to a group of students.
What was the median score?
Each of the numbers in the leftmost column, or "stems" represents the tens digits of one or more scores; each digit in one of the rows, or "leaf", represents the units digit of a score.
The median score is the score that occurs in the middle when the scores are arranged from least to greatest, which there are, so we count up until we get to the middle score. There are 53, so we look for the
Example Question #1 : Basic Statistics
List the data values for the given Stem and Leaf plot.
24, 25, 40, 45, 52
3, 7, 8, 24, 25, 45, 52
3, 7, 8, 24, 25, 40, 45, 52
2, 5, 25, 30, 42, 52, 70, 80
3, 7, 8, 24, 25, 40, 45, 52
The tens-digits are in the Stem column (left-side) while the ones-digits are in the Leaf column (right-side). Therefore, the data in the Stem and Leaf plot can be written as:
Example Question #1 : Stem And Leaf Plots
List the data values for the given Stem and Leaf plot.
32, 35, 36, 63, 65, 67, 68, 83, 89, 90
32, 35, 36, 63, 67, 68, 83, 89, 90
32, 35, 36, 63, 65, 667, 68, 83, 89
23, 53, 63, 36, 56, 76, 86, 38, 98, 9
32, 35, 36, 63, 65, 67, 68, 83, 89, 90
The tens-digits are placed in the Stem column (left-side) and the ones-digits are placed in the Leaf column. Therefore, the data in the Stem and Leaf plot can be written as:
Example Question #1 : Stem And Leaf Plots
List the data values for the given Stem and Leaf plot.
13, 15, 17, 42, 49, 71, 73
31, 51, 71, 24, 94, 17, 37
13, 15, 17, 42, 71, 73
13, 15, 42, 49, 71, 73
13, 15, 17, 42, 49, 71, 73
The tens-digits are placed in the Stem column (left-side) and the ones-digits are placed in the Leaf column. Therefore, the data in the Stem and Leaf plot can be written as:
Example Question #1 : Basic Statistics
List the data values for the given Stem and Leaf plot.
07, 38, 62, 63, 65, 67
38, 41, 62, 63, 65, 67
70, 83, 14, 26, 23, 25, 27
7, 38, 41, 62, 63, 65, 67
7, 38, 41, 62, 63, 65, 67
The tens-digits are placed in the Stem column (left-side) and the ones-digits are placed in the Leaf column. Therefore, the data in the Stem and Leaf plot can be written as:
Example Question #7 : Basic Statistics
Create the Stem and Leaf plot for the given data values.
The tens-digits are placed in the Stem column (left-side) and the ones-digits are placed in the Leaf column.
The list of values is:
34, 54, 6, 95, 22, 4
This data can also be written as 04, 06, 22, 34, 54, 95
Example Question #8 : Basic Statistics
Create the Stem and Leaf plot for the given data values:
6, 8, 10, 23, 35, 43, 44, 45, 48
The tens-digits are placed in the Stem column (left-side) and the ones-digits are placed in the Leaf column.
The data values are:
6, 8, 10, 23, 35, 43, 44, 45, 48
We can rewrite it as follow
06, 08, 10, 23, 35, 43, 44, 45, 48
Example Question #1 : Stem And Leaf Plots
Which of the following represents the correct median value of the above Stem and Leaf Plot?
Impossible to determine based on the data provided.
There are 18 data points in this set, so the median lies halfway between the 9th and 10th sequential data point:
9th Point:
10th Point:
And:
The correct median value of the data set is 74
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