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Create and Interpret Box & Whisker Plots 3Create and Interpret Box & Whisker Plots 3
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Question 1 of 7
1. Question
Create a box and whisker plot using the data set below.
`11` `12` `19` `10` `13` `15` `12` `13` Correct
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A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.First, find the highest and the lowest score.`\text(Highest Score)` `=` `19` `\text(Lowest Score)` `=` `10` Create a number line with with ascending values from the lowest to highest scores
Next, arrange the values of the data set in ascending order`10` `11` `12` `12` `13` `13` `15` `19` We can see that the values `color(crimson)(12)` and `color(crimson)(13)` are the middle values of the data set.To find the median, we add the two middle values and divide it by `2``\text(Median)` `=` `(12+13)/2` `=` `12.5` The median divides the data set into two quartiles, each with `4` values.`10` `11` `12` `12` `=` `\text(Lower Half)` `13` `13` `15` `19` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`10` `11` `12` `12` `13` `13` `15` `19` `\text(Lower Quartile)` `=` `(11+12)/2` `=` `11.5` `\text(Upper Quartile)` `=` `(13+15)/2` `=` `14` Now, mark the number line with dots for the lowest and highest scores of the data set.
Next, mark the lower and upper quartile with a line, and connect them to form a box.
Finally, mark the median with a line inside the box.Also connect the dots to the box to make the whiskers.
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Question 2 of 7
2. Question
Create a box and whisker plot using the data set below.
`41` `43` `41` `48` `37` `49` `48` `42` `47` `42` Correct
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A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.First, find the highest and the lowest score.`\text(Highest Score)` `=` `49` `\text(Lowest Score)` `=` `37` Create a number line with with ascending values from the lowest to highest scores
Next, arrange the values of the data set in ascending order`37` `41` `41` `42` `42` `43` `47` `48` `48` `49` We can see that the values `color(crimson)(42)` and `color(crimson)(43)` are the middle values of the data set.To find the median, we add the two middle values and divide it by `2``\text(Median)` `=` `(42+43)/2` `=` `42.5` The median divides the data set into two quartiles, each with `5` values.`37` `41` `41` `42` `42` `=` `\text(Lower Half)` `43` `47` `48` `48` `49` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`37` `41` `41` `42` `42` `43` `47` `48` `48` `49` Now, mark the number line with dots for the lowest and highest scores of the data set.
Next, mark the lower and upper quartile with a line, and connect them to form a box.
Finally, mark the median with a line inside the box.Also connect the dots to the box to make the whiskers.
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Question 3 of 7
3. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the range.
- `\text(Range )=` (9)
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Range Formula
`color(deeppink)(\text(Highest Score)) – color(darkviolet)(\text(Lowest Score))`Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.The lowest and highest scores are indicated by the whiskers of the box and whisker plot
`\text(Highest Score)` `=` `13` `\text(Lowest Score)` `=` `4` 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)(13)-color(darkviolet)(4)` Substitute values `=` `9` `\text(Range)=9` -
Question 4 of 7
4. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the interquartile range.
- `\text(IQR )=` (11)
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Interquartile Range
`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))`Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.The lower and upper quartiles are indicated by the outer lines of the box and whisker plot
`\text(Upper Quartile)` `=` `53` `\text(Lower Quartile)` `=` `42` 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)(53)-color(darkviolet)(42)` Substitute values `=` `11` `\text(IQR)=11` -
Question 5 of 7
5. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the interquartile range.
- `\text(IQR )=` (23.5)
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Interquartile Range
`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))`Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.The lower and upper quartiles are indicated by the outer lines of the box and whisker plot
`\text(Upper Quartile)` `=` `77.5` `\text(Lower Quartile)` `=` `54` 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)(77.5)-color(darkviolet)(54)` Substitute values `=` `23.5` `\text(IQR)=23.5` -
Question 6 of 7
6. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the median.
- `\text(Median )=` (6)
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The median is the middle score in a data set.A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.The median is indicated by the line inside the box and whisker plot
The line inside the box points to the score `color(tomato)(6)` on the number line.Therefore, the median of the box and whisker plot is `6`.`\text(Median)=6` -
Question 7 of 7
7. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the median.
- `\text(Median )=` (57, 56)
Correct
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The median is the middle score in a data set.A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.The median is indicated by the line inside the box and whisker plot
The line inside the box points to the score `color(tomato)(57)` on the number line.Therefore, the median of the box and whisker plot is `57`.`\text(Median)=57`
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