Years
>
Year 12>
Statistics and Data>
Finding the Interquartile Range>
Finding the Interquartile Range 2Finding the Interquartile Range 2
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 6 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
- 6
Information
โ
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- 5
- 6
- Answered
- Review
-
Question 1 of 6
1. Question
Find the interquartile range of the dot plot.- IQR = (2)
Correct
Well Done!
Incorrect
Interquartile Range
IQR =QUpperโQLowerRemember
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.Median = 4+42 = 82 = 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.Lower Quartile = 3 Upper Quartile = 5 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 5โ3 Substitute values = 2 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 - IQR = (6.5)
Hint
Help VideoCorrect
Correct!
Incorrect
Need TextPlayCurrent Time 0:00/Duration Time 0:00Remaining Time -0:00Stream TypeLIVELoaded: 0%Progress: 0%0:00Fullscreen00:00MutePlayback Rate1x- 2x
- 1.5x
- 1.25x
- 1x
- 0.75x
- 0.5x
Subtitles- subtitles off
Captions- captions off
- English
Chapters- Chapters
Interquartile Range
IQR =QUpperโQLowerRemember
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 order6 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 quartiles6 7 8 9 9 10 = Lower Half 13 13 14 16 18 20 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles6 7 8 9 9 10 13 13 14 16 18 20 Lower Quartile = 8+92 = 8.5 Upper Quartile = 14+162 = 15 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 15โ8.5 Substitute values = 6.5 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 - IQR = (6)
Correct
Correct!
Incorrect
Interquartile Range
IQR =QUpperโQLowerRemember
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 order4 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 quartiles4 13 17 17 21 = Lower Half 21 22 23 29 42 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles4 13 17 17 21 21 22 23 29 42 Lower Quartile = 17 Upper Quartile = 23 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 23โ17 Substitute values = 6 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 - IQR = (8.5)
Correct
Fantastic!
Incorrect
Interquartile Range
IQR =QUpperโQLowerRemember
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 order59 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 quartiles59 62 64 66 69 70 71 72 = Lower Half 73 74 75 76 76 77 80 82 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles59 62 64 66 69 70 71 72 73 74 75 76 76 77 80 82 Lower Quartile = 66+692 = 67.5 Upper Quartile = 76+762 = 76 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 76โ67.5 Substitute values = 8.5 IQR=8.5 -
Question 5 of 6
5. Question
Find the interquartile range of the dot plot.- IQR = (7.5)
Correct
Keep Going!
Incorrect
Interquartile Range
IQR =QUpperโQLowerRemember
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.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.Lower Quartile = 66 Upper Quartile = 73+742 Upper Quartile = 73.5 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 73.5โ66 Substitute values = 7.5 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 - IQR = (40)
Correct
Nice Job!
Incorrect
Interquartile Range
IQR =QUpperโQLowerRemember
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 order35 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 quartiles35 40 47 55 65 70 72 = Lower Half 75 75 80 95 100 115 730 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles35 40 47 55 65 70 72 75 75 80 95 100 115 730 Lower Quartile = 55 Upper Quartile = 95 Finally, use the formula to get the interquartile range.IQR = QUpperโQLower Interquartile Range formula = 95โ55 Substitute values = 40 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