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Question 1 of 6
Find the interquartile range from the data set below.
Incorrect
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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
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 |
= |
Lower Half |
8 |
8 |
9 |
9 |
10 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
Lower Quartile |
= |
4 |
Upper Quartile |
= |
9 |
Finally, use the formula to get the interquartile range.
IQR |
= |
QUpper-QLower |
Interquartile Range formula |
|
= |
9-4 |
Substitute values |
|
= |
5 |
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Question 2 of 6
Find the interquartile range from the data set below.
Incorrect
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.
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 |
= |
Lower Half |
6 |
7 |
7 |
7 |
7 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
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 |
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Question 3 of 6
Find the interquartile range from the data set below.
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 |
Incorrect
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 |
= |
Lower Half |
18 |
20 |
20 |
26 |
35 |
= |
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 |
Lower Quartile |
= |
10 |
Upper Quartile |
= |
20 |
Finally, use the formula to get the interquartile range.
IQR |
= |
QUpper-QLower |
Interquartile Range formula |
|
= |
20-10 |
Substitute values |
|
= |
10 |
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Question 4 of 6
Find the interquartile range of the dot plot.
Incorrect
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.
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 |
= |
40+412 |
|
|
= |
40.5 |
Upper Quartile |
= |
50+522 |
|
|
= |
51 |
Finally, use the formula to get the interquartile range.
IQR |
= |
QUpper-QLower |
Interquartile Range formula |
|
= |
51-40.5 |
Substitute values |
|
= |
10.5 |
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Question 5 of 6
Find the interquartile range from the data set below.
Incorrect
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
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 |
= |
Lower Half |
6 |
7 |
7 |
8 |
12 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
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 |
-
Question 6 of 6
Find the interquartile range from the data set below.
Incorrect
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
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 |
= |
Lower Half |
8 |
9 |
9 |
11 |
12 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
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 |