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Question 1 of 7
Create a box and whisker plot using the data set below.
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A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
First, find the highest and the lowest score.
Highest Score |
= |
7 |
Lowest Score |
= |
2 |
Create a number line with with ascending values from the lowest to highest scores
Next, arrange the values of the data set in ascending order
We can see that the values 4 and 4 are the middle values of the data set.
To find the median, we add the two middle values and divide it by 2
The median divides the data set into two quartiles, each with 6 values.
2 |
2 |
3 |
3 |
3 |
4 |
= |
Lower Half |
4 |
5 |
5 |
6 |
7 |
7 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
Lower Quartile |
= |
3+32 |
|
|
= |
3 |
|
|
|
Upper Quartile |
= |
5+62 |
|
|
= |
5.5 |
Now, mark the number line with dots for the lowest and highest scores of the data set.
Next, mark the lower and upper quartile with a line, and connect them to form a box.
Finally, mark the median with a line inside the box.
Also connect the dots to the box to make the whiskers.
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Question 2 of 7
Create a box and whisker plot using the data set below.
Incorrect
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A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
First, find the highest and the lowest score.
Highest Score |
= |
13 |
Lowest Score |
= |
4 |
Create a number line with with ascending values from the lowest to highest scores
Next, arrange the values of the data set in ascending order
We can see that the values 7 and 7 are the middle values of the data set.
To find the median, we add the two middle values and divide it by 2
The median divides the data set into two quartiles, each with 4 values.
4 |
5 |
6 |
7 |
= |
Lower Half |
7 |
10 |
11 |
13 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
Lower Quartile |
= |
5+62 |
|
|
= |
5.5 |
|
|
|
Upper Quartile |
= |
10+112 |
|
|
= |
10.5 |
Now, mark the number line with dots for the lowest and highest scores of the data set.
Next, mark the lower and upper quartile with a line, and connect them to form a box.
Finally, mark the median with a line inside the box.
Also connect the dots to the box to make the whiskers.
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Question 3 of 7
Create a box and whisker plot using the data set below.
16 |
18 |
16 |
21 |
19 |
11 |
17 |
14 |
15 |
16 |
22 |
17 |
15 |
16 |
22 |
12 |
Incorrect
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
First, find the highest and the lowest score.
Highest Score |
= |
22 |
Lowest Score |
= |
11 |
Create a number line with with ascending values from the lowest to highest scores
Next, arrange the values of the data set in ascending order
11 |
12 |
14 |
15 |
15 |
16 |
16 |
16 |
16 |
17 |
17 |
18 |
19 |
21 |
22 |
22 |
We can see that the values 16 and 16 are the middle values of the data set.
To find the median, we add the two middle values and divide it by 2
The median divides the data set into two quartiles, each with 8 values.
11 |
12 |
14 |
15 |
15 |
16 |
16 |
16 |
= |
Lower Half |
16 |
17 |
17 |
18 |
19 |
21 |
22 |
22 |
= |
Greater Half |
Now, find the median of both quartiles to get the lower and upper quartiles
11 |
12 |
14 |
15 |
15 |
16 |
16 |
16 |
16 |
17 |
17 |
18 |
19 |
21 |
22 |
22 |
Lower Quartile |
= |
15+152 |
|
|
= |
15 |
|
|
|
Upper Quartile |
= |
18+192 |
|
|
= |
18.5 |
Now, mark the number line with dots for the lowest and highest scores of the data set.
Next, mark the lower and upper quartile with a line, and connect them to form a box.
Finally, mark the median with a line inside the box.
Also connect the dots to the box to make the whiskers.
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Question 4 of 7
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the range.
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Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
The lowest and highest scores are indicated by the whiskers of the box and whisker plot
Highest Score |
= |
16 |
Lowest Score |
= |
7 |
Subtract the lowest score from the highest score to get the range
Range |
= |
Highest Score-Lowest Score |
Finding the range |
|
= |
16-7 |
Substitute values |
|
= |
9 |
Evaluate |
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Question 5 of 7
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the interquartile range.
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Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
The lower and upper quartiles are indicated by the outer lines of the box and whisker plot
Upper Quartile |
= |
14.5 |
Lower Quartile |
= |
10 |
Use the formula to get the interquartile range.
IQR |
= |
QUpper-QLower |
Interquartile Range formula |
|
= |
14.5-10 |
Substitute values |
|
= |
4.5 |
Evaluate |
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Question 6 of 7
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the median.
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The median is the middle score in a data set.
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
The median is indicated by the line inside the box and whisker plot
The line inside the box points to the score 12 on the number line.
Therefore, the median of the box and whisker plot is 12.
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Question 7 of 7
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the range.
Incorrect
Remember
A box-and-whisker plot shows a five-point summary of the lowest score, lower quartile, median, upper quartile and highest score.
The lowest and highest scores are indicated by the whiskers of the box and whisker plot
Highest Score |
= |
7 |
Lowest Score |
= |
2 |
Subtract the lowest score from the highest score to get the range
Range |
= |
Highest Score–Lowest Score |
Finding the range |
|
= |
7-2 |
Substitute values |
|
= |
5 |
Evaluate |