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Create and Interpret Stem & Leaf Plots 1Create and Interpret Stem & Leaf Plots 1
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Question 1 of 7
1. Question
The data shows the number of hours worked in a week by a group of `20` employees. Arrange the data in a stem & leaf plot.`12` `28` `14` `13` `19` `21` `32` `34` `33` `28` `18` `29` `24` `23` `32` `17` `19` `34` `38` `16` Enter the value for each respective column in the table below-
Stem Leaf (1) (2) (3) (4) (6) (7) (8) (9) (9) (2) (1) (3) (4) (8) (8) (9) (3) (2) (2) (3) (4) (4) (8)
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A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, identify all the possible first digits of the scores and list them in the Stem column.Stem Leaf 1 2 3 Next, read across the data while listing them to their corresponding stem.List the scores’ last digit to the Leaf column.`12` `28` `14` `13` `19` `21` `32` `34` `33` `28` `18` `29` `24` `23` `32` `17` `19` `34` `38` `16` Stem Leaf 1 2 4 2 8 3 Continue doing this until all scores are listed.Stem Leaf 1 2 4 3 9 8 7 9 6 2 8 1 8 9 4 3 3 2 4 3 2 4 8 Finally, arrange the values on the Leaf column in ascending order.Stem Leaf 1 2 3 4 6 7 8 9 9 2 1 3 4 8 8 9 3 2 2 3 4 4 8 Stem Leaf 1 2 3 4 6 7 8 9 9 2 1 3 4 8 8 9 3 2 2 3 4 4 8 -
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Question 2 of 7
2. Question
This stem & leaf plot shows the marks of `23` students in a science quiz. Find the mode.Stem Leaf `4` `5 1 0` `5` `3 2 6 8 4` `6` `8 3 4 3 3` `7` `9 1 6 5 8` `8` `7 2 8` `9` `5 1` - `\text(Mode )=` (63)
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The mode is the most frequent score in a data set.A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).To view repeating numbers easier, arrange the values on the Leaf column in ascending order.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9 1 5 Next, find the score that repeats the most under the Leaf column.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9 1 5 Notice that in Stem 6, the Leaf 3 appears thrice.Hence, the mode is 63, which is the two numbers combined.`\text(Mode)=63` -
Question 3 of 7
3. Question
This stem & leaf plot shows the marks of `23` students in a science quiz. Find the range.Stem Leaf `4` `5 1 0` `5` `3 2 6 8 4` `6` `8 3 4 3 3` `7` `9 1 6 5 8` `8` `7 2 8` `9` `5 1` - `\text(Range )=` (55)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, arrange the values on the Leaf column in ascending order.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9 1 5 Next, find the highest and the lowest score. This will be the numbers at the bottom and top columns.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9
`\text(Highest Score)` `=` `95` `\text(Lowest Score)` `=` `40` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `\text(Highest Score)``-``\text(Lowest Score)` Finding the range `=` `95``-``40` Substitute values `=` `55` Evaluate `\text(Range)=55` -
Question 4 of 7
4. Question
This stem & leaf plot shows the marks of `23` students in a science quiz. Find the median.Stem Leaf `4` `5 1 0` `5` `3 2 6 8 4` `6` `8 3 4 3 3` `7` `9 1 6 5 8` `8` `7 2 8` `9` `5 1` - `\text(Median )=` (64)
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The median is the middle score in a data set.A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, arrange the values on the Leaf column in ascending order.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9 1 5 Since the total number of scores is `23`, the middle score should be the `12`th score.`23/2=11.5` and always round up which equals the `12`th scoreSimply count the numbers under the Leaf column until you reach the `12`th score.Stem Leaf 4 0 1 5 5 2 3 4 6 8 6 3 3 3 4 8 7 1 5 6 8 9 8 2 7 8 9 1 5 The `12`th number is along Stem 6, specifically Leaf 4.Hence, the median is `64`, which is the two numbers combined.`\text(Range)=64` -
Question 5 of 7
5. Question
Find the interquartile range of the stem and leaf plot below.Stem Leaf `5` `6 7` `6` `7` `2 3 5 5 6 6 8` `8` `3 4` - `\text(IQR )=` (6)
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Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, since the total number of scores is `11`, the middle score should be the `6`th score.`11/2=5.5` and always round up which equals the `6`th scoreSimply count the numbers under the Leaf column until you reach the `6`th score.Stem Leaf 5 6 7 6 7 2 3 5 5 6 6 8 8 1 3 The `6`th number is along Stem 7, specifically Leaf 5.Hence, the median is `75`, which is the two numbers combined.The median divides the data set into two quartiles, each with `5` values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 5 6 7 6 7 2 3 5 8 Greater Half Stem Leaf 5 6 7 6 6 8 8 1 3 `\text(Lower Quartile)` `=` `72` `\text(Upper Quartile)` `=` `78` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `78``-``72` Substitute values `=` `6` Evaluate `\text(IQR)=6` -
Question 6 of 7
6. Question
This stem & leaf plot shows the marks of `27` students in a science quiz. Find the mode.
Stem Leaf 3 9 4 9 5 1 2 3 4 4 6 7 9 6 1 1 5 6 7 1 4 6 6 8 2 5 8 9 2 2 2 3 4 5 - `\text(Mode )=` (92)
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The mode is the most frequent score in a data set.A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).To view repeating numbers easier, arrange the values on the Leaf column in ascending order.Stem Leaf 3 9 4 9 5 1 2 3 4 4 6 7 9 6 1 1 5 6 7 1 4 6 6 8 2 5 8 9 2 2 2 3 4 5 Next, find the score that repeats the most under the Leaf column.Stem Leaf 3 9 4 9 5 1 2 3 4 4 6 7 9 6 1 1 5 6 7 1 4 6 6 8 2 5 8 9 2 2 2 3 4 5 Notice that in Stem 9, the Leaf 2 appears thrice.Hence, the mode is 92, which is the two numbers combined.`\text(Mode)=92` -
Question 7 of 7
7. Question
This stem & leaf plot shows the marks of `29` students in a science quiz. Find the range.
Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 5 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 - `\text(Range )=` (64)
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Range Formula
`\text(Highest Score)``-``\text(Lowest Score)`Remember
A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).First, arrange the values on the Leaf column in ascending order.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 5 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 Next, find the highest and the lowest score. This will be the numbers at the bottom and columns.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 5 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 `\text(Highest Score)` `=` `87` `\text(Lowest Score)` `=` `23` Finally, subtract the lowest score from the highest score to get the range`\text(Range)` `=` `color(deeppink)(\text(Highest Score))-color(darkviolet)(\text(Lowest Score))` Finding the range `=` `color(deeppink)(87)-color(darkviolet)(23)` Substitute values `=` `64` Evaluate `\text(Range)=64`
Quizzes
- Find Mean, Mode, Median and Range 1
- Find Mean, Mode, Median and Range 2
- Find Mean, Mode, Median and Range 3
- Create Frequency Tables & Graphs
- Interpret Frequency Tables 1
- Interpret Frequency Tables 2
- Create and Interpret Bar & Line Graphs (Histograms)
- Interpret Cumulative Frequency Tables and Charts 1
- Interpret Cumulative Frequency Tables and Charts 2
- Create Grouped Frequency Tables and Graphs
- Interpret Grouped Frequency Tables
- Create and Interpret Dot Plots (Line Plots) 1
- Create and Interpret Dot Plots (Line Plots) 2
- Finding the Interquartile Range 1
- Finding the Interquartile Range 2
- Create and Interpret Box & Whisker Plots 1
- Create and Interpret Box & Whisker Plots 2
- Create and Interpret Box & Whisker Plots 3
- Create and Interpret Box & Whisker Plots 4
- Create and Interpret Stem & Leaf Plots 1
- Create and Interpret Stem & Leaf Plots 2
- Create and Interpret Stem & Leaf Plots 3
- Create and Interpret Stem & Leaf Plots 4