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Create and Interpret Stem & Leaf Plots>
Create and Interpret Stem & Leaf Plots 4Create and Interpret Stem & Leaf Plots 4
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Question 1 of 7
1. Question
This stem & leaf plot shows the marks of `27` students in a science quiz. Find the median.
Stem Leaf 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 - `\text(Median )=` (44)
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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 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 Since the total number of scores is `27`, the middle score should be the `14`th score.`27/2=13.5` and always round up which equals the `14`th scoreSimply count the numbers under the Leaf column until you reach the `14`th score.Stem Leaf 1 3 2 1 2 3 6 3 1 2 4 5 9 4 1 1 2 4 5 5 6 6 8 5 2 4 6 7 1 2 8 2 9 1 5 9 The `14`th number is along Stem 4, specifically Leaf 4.Hence, the median is `44`, which is the two numbers combined.`\text(Median)=44` -
Question 2 of 7
2. Question
This stem & leaf plot shows the marks of `29` students in a science quiz. Find the median.
Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 - `\text(Median )=` (47)
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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 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 Since the total number of scores is `29`, the middle score should be the `15`th score.`29/2=14.5` and always round up which equals the `15`th scoreSimply count the numbers under the Leaf column until you reach the `15`th score.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 The `15`th number is along Stem 4, specifically Leaf 7.Hence, the median is `47`, which is the two numbers combined.`\text(Median)=47` -
Question 3 of 7
3. Question
This stem & leaf plot shows the marks of `27` students in a science quiz. Find the mean.
Round your answer to two decimal placesStem 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(Mean )=` (69.89)
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Mean Formula
`\text(Mean)=(color(forestgreen)(sum x))/(color(tomato)(N))`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, solve for the sum of the given values.`color(forestgreen)(sum x)` `=` `35+49+51+52+53+54+54+56+` `57+59+61+61+65+66+71+74+` `76+76+82+85+88+92+92+` `92+93+94+95` `=` `1,887` Next, divide the sum of all values `color(forestgreen)(sum x)` by the number of values `(color(tomato)(N))`.`\text(Mean)` `=` `(color(forestgreen)(sum x))/(color(tomato)(N))` Finding the mean `=` `(color(forestgreen)(1887))/(color(tomato)(27))` There are `27` given values `=` `69.89` Rounded to two decimal places `\text(Mean)=69.89` -
Question 4 of 7
4. Question
This stem & leaf plot shows the marks of `27` students in a science quiz. Find the mean.
Round your answer to two decimal placesStem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 - `\text(Mean )=` (31.74)
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Mean Formula
`\text(Mean)=(color(forestgreen)(sum x))/(color(tomato)(N))`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, solve for the sum of the given values.`color(forestgreen)(sum x)` `=` `11+11+12+12+18+21+22+22+` `24+24+25+26+27+32+35+36+` `36+37+38+39+42+45+45` `+45+46+53+73` `=` `857` Next, divide the sum of all values `color(forestgreen)(sum x)` by the number of values `(color(tomato)(N))`.`\text(Mean)` `=` `(color(forestgreen)(sum x))/(color(tomato)(N))` Finding the mean `=` `(color(forestgreen)(857))/(color(tomato)(27))` There are `27` given values `=` `31.74` Rounded to two decimal places `\text(Mean)=31.74` -
Question 5 of 7
5. Question
Find the interquartile range of the stem and leaf plot below.
Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 - `\text(IQR )=` (20)
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Interquartile Range
`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\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 `27`, the middle score should be the `color(darkgoldenrod)(14)`th score.`27/2=13.5` and always round up which equals the `14`th scoreSimply count the numbers under the Leaf column until you reach the `color(darkgoldenrod)(14)th` score.Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 3 2 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 The `color(darkgoldenrod)(14)`th number is along Stem 3, specifically Leaf 2.Hence, the median is 32, which is the two numbers combined.The median divides the data set into two quartiles, each with `13` values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 1 1 1 2 2 8 2 1 2 2 4 4 5 6 7 Greater Half Stem Leaf 3 5 6 6 7 8 9 4 2 5 5 5 6 5 3 6 7 3 Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))` Interquartile Range formula `=` `color(deeppink)(42)-color(darkviolet)(22)` Substitute values `=` `20` Evaluate `\text(IQR)=20` -
Question 6 of 7
6. Question
Find the interquartile range of the stem and leaf plot below.
Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 - `\text(IQR )=` (19.5)
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Interquartile Range
`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\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 `29`, the middle score should be the `color(darkgoldenrod)(15)`th score.`29/2=14.5` and always round up which equals the `15`th scoreSimply count the numbers under the Leaf column until you reach the `color(darkgoldenrod)(15)th` score.Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 4 6 7 7 7 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 The `color(darkgoldenrod)(15)`th number is along Stem 4, specifically Leaf 7.Hence, the median is 47, which is the two numbers combined.The median divides the data set into two quartiles, each with `14` values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 2 3 5 6 3 3 5 6 8 9 4 2 2 5 6 7 7 Greater Half Stem Leaf 4 8 8 9 5 2 4 6 8 8 6 5 8 9 7 4 5 8 7 `\text(Lower Quartile)` `=` `(38+39)/2` `=` `38.5` `\text(Upper Quartile)` `=` `(58+58)/2` `=` `58` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))` Interquartile Range formula `=` `color(deeppink)(58)-color(darkviolet)(38.5)` Substitute values `=` `19.5` Evaluate `\text(IQR)=19.5` -
Question 7 of 7
7. Question
Find the interquartile range of the stem and leaf plot below.Stem Leaf `4` `3 8` `5` `0 2 5 5 6` `6` `1 3 3 6 7 7 8 9` `7` `0 2 4 8` `8` `1 3` - `\text(IQR )=` (16)
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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 `21`, the middle score should be the `11`th score.`21/2=10.5` and always round up which equals the `11`th scoreSimply count the numbers under the Leaf column until you reach the `11`th score.Stem Leaf 4 3 8 5 0 2 5 5 6 6 1 3 3 6 7 7 8 9 7 0 2 4 8 8 1 3 The `11`th number is along Stem 6, specifically Leaf 6.Hence, the median is `66`, which is the two numbers combined.The median divides the data set into two quartiles, each with `10` values.Find the median of both quartiles to get the lower and upper quartilesLower Half Stem Leaf 4 3 8 5 0 2 5 5 6 6 1 3 3 7 8 Greater Half Stem Leaf 4 5 6 7 7 8 9 7 0 2 4 8 8 1 3 `\text(Lower Quartile)` `=` `(55+55)/2` `=` `55` `\text(Upper Quartile)` `=` `(70+72)/2` `=` `71` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `71``-``55` Substitute values `=` `16` Evaluate `\text(IQR)=16`
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