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Finding the Interquartile Range>
Finding the Interquartile Range 2Finding the Interquartile Range 2
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Question 1 of 6
1. Question
Find the interquartile range of the dot plot.
- `\text(IQR )=` (2)
Correct
Well Done!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, take note that there is a total of `12` scores on the dot plot, which is an even number.Therefore, the median of the data set will be the average of the scores on the `6th` and `7th` position.
`\text(Median)` `=` `(4+4)/2` `=` `8/2` `=` `4` The median divides the data set into two quartiles, each with `6` values.To find the lower and upper quartiles, find the median of both the lower and greater halves.
`\text(Lower Quartile)` `=` `3` 
`\text(Upper Quartile)` `=` `5` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `5``-``3` Substitute values `=` `2` `\text(IQR)=2` -
Question 2 of 6
2. Question
Find the interquartile range from the data set below.`13` `16` `6` `14` `20` `7` `10` `18` `13` `8` `9` `12` `9` - `\text(IQR )=` (6.5)
Hint
Help VideoCorrect
Correct!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, arrange the values of the data set in ascending order`6` `7` `8` `9` `9` `10` `12` `13` `13` `14` `16` `18` `20` We can see that the value `12` is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles`6` `7` `8` `9` `9` `10` `=` `\text(Lower Half)` `13` `13` `14` `16` `18` `20` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`6` `7` `8` `9` `9` `10` `13` `13` `14` `16` `18` `20` `\text(Lower Quartile)` `=` `(8+9)/2` `=` `8.5` `\text(Upper Quartile)` `=` `(14+16)/2` `=` `15` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `15``-``8.5` Substitute values `=` `6.5` `\text(IQR)=6.5` -
Question 3 of 6
3. Question
Find the interquartile range from the data set below.`17` `29` `21` `23` `42` `17` `22` `13` `4` `21` - `\text(IQR )=` (6)
Correct
Correct!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, arrange the values of the data set in ascending order`4` `13` `17` `17` `21` `21` `22` `23` `29` `42` We can see that the value `21` is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles`4` `13` `17` `17` `21` `=` `\text(Lower Half)` `21` `22` `23` `29` `42` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`4` `13` `17` `17` `21` `21` `22` `23` `29` `42` `\text(Lower Quartile)` `=` `17` `\text(Upper Quartile)` `=` `23` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `23``-``17` Substitute values `=` `6` `\text(IQR)=6` -
Question 4 of 6
4. Question
Find the interquartile range from the data set below.`74` `66` `71` `62` `64` `76` `72` `82` `80` `70` `73` `76` `73` `77` `75` `69` `59` - `\text(IQR )=` (8.5)
Correct
Fantastic!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, arrange the values of the data set in ascending order`59` `62` `64` `66` `69` `70` `71` `72` `73` `73` `74` `75` `76` `76` `77` `80` `82` We can see that the value `73` is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles`59` `62` `64` `66` `69` `70` `71` `72` `=` `\text(Lower Half)` `73` `74` `75` `76` `76` `77` `80` `82` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`59` `62` `64` `66` `69` `70` `71` `72` `73` `74` `75` `76` `76` `77` `80` `82` `\text(Lower Quartile)` `=` `(66+69)/2` `=` `67.5` `\text(Upper Quartile)` `=` `(76+76)/2` `=` `76` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `76``-``67.5` Substitute values `=` `8.5` `\text(IQR)=8.5` -
Question 5 of 6
5. Question
Find the interquartile range of the dot plot.
- `\text(IQR )=` (7.5)
Correct
Keep Going!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, take note that there is a total of `17` scores on the dot plot, which is an odd number.Therefore, the median of the data set will be the score on the `9th` position.
`\text(Median)` `=` `71` The median divides the data set into two quartiles, each with `8` values.To find the lower and upper quartiles, find the median of both the lower and greater halves.
`\text(Lower Quartile)` `=` `66` 
`\text(Upper Quartile)` `=` `(73+74)/2` `\text(Upper Quartile)` `=` `73.5` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `73.5``-``66` Substitute values `=` `7.5` `\text(IQR)=7.5` -
Question 6 of 6
6. Question
Find the interquartile range from the data set below.Average Time to Maturity Plant Days Plant Days Soy Bean 70 Tomatillo 100 Arugula 35 Sweet Banana Pepper 72 Asparagus 730 Honeydew 80 Jersey Tomato 74 Endive 47 Shallots 115 Okra 55 Mesclun 40 Sugar Baby Watermelon 75 Celery 95 Bell Pepper 75 Cherry Tomato 65 - `\text(IQR )=` (40)
Correct
Nice Job!
Incorrect
Interquartile Range
`\text(IQR )=``\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)`Remember
The lower quartile is the median of the lower half of the data set, while the upper quartile is the median of the greater half of the data set.First, arrange the values of the data set in ascending order`35` `40` `47` `55` `65` `70` `72` `74` `75` `75` `80` `95` `100` `115` `730` We can see that the value `74` is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles`35` `40` `47` `55` `65` `70` `72` `=` `\text(Lower Half)` `75` `75` `80` `95` `100` `115` `730` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`35` `40` `47` `55` `65` `70` `72` `75` `75` `80` `95` `100` `115` `730` `\text(Lower Quartile)` `=` `55` `\text(Upper Quartile)` `=` `95` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `95``-``55` Substitute values `=` `40` `\text(IQR)=40`
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