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Finding the Interquartile Range>
Finding the Interquartile Range 1Finding the Interquartile Range 1
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Question 1 of 6
1. Question
Find the interquartile range from the data set below.`9` `3` `8` `7` `6` `8` `4` `6` `2` `10` `9` - `\text(IQR )=` (5)
Hint
Help VideoCorrect
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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`2` `3` `4` `6` `6` `7` `8` `8` `9` `9` `10` We can see that the value `7` 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`2` `3` `4` `6` `6` `=` `\text(Lower Half)` `8` `8` `9` `9` `10` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`2` `3` `4` `6` `6` `8` `8` `9` `9` `10` `\text(Lower Quartile)` `=` `4` `\text(Upper Quartile)` `=` `9` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `9``-``4` Substitute values `=` `5` `\text(IQR)=5` -
Question 2 of 6
2. Question
Find the interquartile range from the data set below.`4` `4` `4` `5` `6` `6` `6` `7` `7` `7` `7` - `\text(IQR )=` (3)
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, identify the median of the data set.`4` `4` `4` `5` `6` `6` `6` `7` `7` `7` `7` We can see that the value `6` 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` `4` `4` `5` `6` `=` `\text(Lower Half)` `6` `7` `7` `7` `7` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`4` `4` `4` `5` `6` `6` `7` `7` `7` `7` `\text(Lower Quartile)` `=` `4` `\text(Upper Quartile)` `=` `7` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `7``-``4` Substitute values `=` `3` `\text(IQR)=3` -
Question 3 of 6
3. Question
Find the interquartile range from the data set below.Average Lifespan Animal Years Animal Years Golden Hamster 4 Hog 18 Tasmanian Tiger 7 Eclectus Parrot 20 Cottontail 10 Teal 20 Fox 14 Domestic Pigeon 26 Grey Cheeked Parrot 15 Deer 35 Squirrel 16 - `\text(IQR )=` (10)
Correct
Excellent!
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, identify the median of the data set.`4` `7` `10` `14` `15` `16` `18` `20` `20` `26` `35` We can see that the value `16` 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` `7` `10` `14` `15` `=` `\text(Lower Half)` `18` `20` `20` `26` `35` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`4` `7` `10` `14` `15` `18` `20` `20` `26` `35` `\text(Lower Quartile)` `=` `10` `\text(Upper Quartile)` `=` `20` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `20``-``10` Substitute values `=` `10` `\text(IQR)=10` -
Question 4 of 6
4. Question
Find the interquartile range of the dot plot.
- `\text(IQR )=` (10.5)
Correct
Great Work!
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)` `=` `46` 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)` `=` `(40+41)/2` `=` `40.5` 
`\text(Upper Quartile)` `=` `(50+52)/2` `=` `51` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `51``-``40.5` Substitute values `=` `10.5` `\text(IQR)=10.5` -
Question 5 of 6
5. Question
Find the interquartile range from the data set below.`6` `8` `3` `2` `6` `7` `12` `4` `6` `7` - `\text(IQR )=` (3)
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`2` `3` `4` `6` `6` `6` `7` `7` `8` `12` We can see that the value `6` 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`2` `3` `4` `6` `6` `=` `\text(Lower Half)` `6` `7` `7` `8` `12` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`2` `3` `4` `6` `6` `6` `7` `7` `8` `12` `\text(Lower Quartile)` `=` `4` `\text(Upper Quartile)` `=` `7` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `7``-``4` Substitute values `=` `3` `\text(IQR)=3` -
Question 6 of 6
6. Question
Find the interquartile range from the data set below.`12` `5` `11` `4` `9` `4` `6` `8` `9` `6` `7` - `\text(IQR )=` (4)
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` `4` `5` `6` `6` `7` `8` `9` `9` `11` `12` We can see that the value `7` 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` `4` `5` `6` `6` `=` `\text(Lower Half)` `8` `9` `9` `11` `12` `=` `\text(Greater Half)` Now, find the median of both quartiles to get the lower and upper quartiles`4` `4` `5` `6` `6` `8` `9` `9` `11` `12` `\text(Lower Quartile)` `=` `5` `\text(Upper Quartile)` `=` `9` Finally, use the formula to get the interquartile range.`\text(IQR)` `=` `\text(Q)_\text(Upper)``-``\text(Q)_\text(Lower)` Interquartile Range formula `=` `9``-``5` Substitute values `=` `4` `\text(IQR)=4`
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