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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.99 33 88 77 66 88 44 66 22 1010 99 - IQR =IQR = (5)
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Interquartile Range
IQR =IQR =QUpperQUpper-−QLowerQLowerRemember
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 order22 33 44 66 66 77 88 88 99 99 1010 We can see that the value 77 is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles22 33 44 66 66 == Lower HalfLower Half 88 88 99 99 1010 == Greater HalfGreater Half Now, find the median of both quartiles to get the lower and upper quartiles22 33 44 66 66 88 88 99 99 1010 Lower QuartileLower Quartile == 44 Upper QuartileUpper Quartile == 99 Finally, use the formula to get the interquartile range.IQRIQR == QUpperQUpper-−QLowerQLower Interquartile Range formula == 99-−44 Substitute values == 55 IQR=5IQR=5 -
Question 2 of 6
2. Question
Find the interquartile range from the data set below.44 44 44 55 66 66 66 77 77 77 77 - IQR =IQR = (3)
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Interquartile Range
IQR =IQR =QUpperQUpper-−QLowerQLowerRemember
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.44 44 44 55 66 66 66 77 77 77 77 We can see that the value 66 is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles44 44 44 55 66 == Lower HalfLower Half 66 77 77 77 77 == Greater HalfGreater Half Now, find the median of both quartiles to get the lower and upper quartiles44 44 44 55 66 66 77 77 77 77 Lower QuartileLower Quartile == 44 Upper QuartileUpper Quartile == 77 Finally, use the formula to get the interquartile range.IQRIQR == QUpperQUpper-−QLowerQLower Interquartile Range formula == 77-−44 Substitute values == 33 IQR=3IQR=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 - IQR =IQR = (10)
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Interquartile Range
IQR =IQR =QUpperQUpper-−QLowerQLowerRemember
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.44 77 1010 1414 1515 1616 1818 2020 2020 2626 3535 We can see that the value 1616 is the middle value of the data set, and is the median of the data set.This also divides the data set into two quartiles44 77 1010 1414 1515 == Lower HalfLower Half 1818 2020 2020 2626 3535 == Greater HalfGreater Half Now, find the median of both quartiles to get the lower and upper quartiles44 77 1010 1414 1515 1818 2020 2020 2626 3535 Lower QuartileLower Quartile == 1010 Upper QuartileUpper Quartile == 2020 Finally, use the formula to get the interquartile range.IQRIQR == QUpperQUpper-−QLowerQLower Interquartile Range formula == 2020-−1010 Substitute values == 1010 IQR=10IQR=10 -
Question 4 of 6
4. Question
Find the interquartile range of the dot plot.- IQR =IQR = (10.5)
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Interquartile Range
IQR =IQR =QUpperQUpper-−QLowerQLowerRemember
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 1717 scores on the dot plot, which is an odd number.Therefore, the median of the data set will be the score on the 9th9th position.MedianMedian == 4646 The median divides the data set into two quartiles, each with 88 values.To find the lower and upper quartiles, find the median of both the lower and greater halves.Lower QuartileLower Quartile == 40+41240+412 == 40.540.5 Upper QuartileUpper Quartile == 50+52250+522 == 5151 Finally, use the formula to get the interquartile range.IQRIQR == QUpperQUpper-−QLowerQLower Interquartile Range formula == 5151-−40.540.5 Substitute values == 10.510.5 IQR=10.5IQR=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 - IQR = (3)
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Interquartile Range
IQR =QUpper-QLowerRemember
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 order2 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 quartiles2 3 4 6 6 = Lower Half 6 7 7 8 12 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles2 3 4 6 6 6 7 7 8 12 Lower Quartile = 4 Upper Quartile = 7 Finally, use the formula to get the interquartile range.IQR = QUpper-QLower Interquartile Range formula = 7-4 Substitute values = 3 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 - IQR = (4)
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Interquartile Range
IQR =QUpper-QLowerRemember
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 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 quartiles4 4 5 6 6 = Lower Half 8 9 9 11 12 = Greater Half Now, find the median of both quartiles to get the lower and upper quartiles4 4 5 6 6 8 9 9 11 12 Lower Quartile = 5 Upper Quartile = 9 Finally, use the formula to get the interquartile range.IQR = QUpper-QLower Interquartile Range formula = 9-5 Substitute values = 4 IQR=4
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