Create and Interpret Box & Whisker Plots 4

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Question 1 of 8

1. Question
Create a box and whisker plot using the data set below.

$5$ $6$ $7$ $4$ $9$ $12$ $6$ $2$ $11$
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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.

$\text(Highest Score)$ $=$ $12$

$\text(Lowest Score)$ $=$ $2$

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

$2$ $4$ $5$ $6$ $6$ $7$ $9$ $11$ $12$

We can see that the values $6$ is the middle values of the data set.

Therefore, the median of the data set is $6$

$\text(Median)$ $=$ $6$

The median divides the data set into two quartiles, each with $4$ values.

$2$ $4$ $5$ $6$ $=$ $\text(Lower Half)$

$7$ $9$ $11$ $12$ $=$ $\text(Greater Half)$

Now, find the median of both quartiles to get the lower and upper quartiles

$2$ $4$ $5$ $6$

$7$ $9$ $11$ $12$

$\text(Lower Quartile)$ $=$ $(4+5)/2$

$=$ $4.5$

$\text(Upper Quartile)$ $=$ $(9+11)/2$

$=$ $10$

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.
Question 2 of 8

2. Question
Create a box and whisker plot using the data set below.

$31$ $36$ $47$ $47$ $48$ $52$ $52$ $54$ $54$
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Correct

Great Work!

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.

$\text(Highest Score)$ $=$ $54$

$\text(Lowest Score)$ $=$ $31$

Create a number line with with ascending values from the lowest to highest scores

Next, identify the median of the data set.

$31$ $36$ $47$ $47$ $48$ $52$ $52$ $54$ $54$

We can see that the values $48$ is the middle values of the data set.

Therefore, the median of the data set is $48$

$\text(Median)$ $=$ $48$

The median divides the data set into two quartiles, each with $4$ values.

$31$ $36$ $47$ $47$ $=$ $\text(Lower Half)$

$52$ $52$ $54$ $54$ $=$ $\text(Greater Half)$

Now, find the median of both quartiles to get the lower and upper quartiles

$31$ $36$ $47$ $47$

$52$ $52$ $54$ $54$

$\text(Lower Quartile)$ $=$ $(36+47)/2$

$=$ $41.5$

$\text(Upper Quartile)$ $=$ $(52+54)/2$

$=$ $53$

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.
Question 3 of 8

3. Question
Create a box and whisker plot using the data set below.

Life Expectancy

Country Years Country Years

Somalia 50 Indonesia 72

Lesotho 51 Montenegro 74.5

Chad 51 Croatia 77.5

Guinea 55 Israel 82.1

Cameroon 61.5 Iceland 83.3

Bangladesh 70
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Correct

Keep Going!

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.

$\text(Highest Score)$ $=$ $50$

$\text(Lowest Score)$ $=$ $83.3$

Create a number line with with ascending values from the lowest to highest scores

Next, identify the median of the data set.

$50$ $51$ $51$ $55$ $61.5$ $70$ $72$ $74.5$ $77.5$ $82.1$ $83.3$

We can see that the values $70$ is the middle values of the data set.

Therefore, the median of the data set is $70$

$\text(Median)$ $=$ $70$

The median divides the data set into two quartiles, each with $5$ values.

$50$ $51$ $51$ $55$ $61.5$ $=$ $\text(Lower Half)$

$72$ $74.5$ $77.5$ $82.1$ $83.3$ $=$ $\text(Greater Half)$

Now, find the median of both quartiles to get the lower and upper quartiles

$50$ $51$ $51$ $55$ $61.5$

$72$ $74.5$ $77.5$ $82.1$ $83.3$

$\text(Lower Quartile)$ $=$ $51$

$\text(Upper Quartile)$ $=$ $77.5$

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.

Life Expectancy
Country	Years	Country	Years
Somalia	50	Indonesia	72
Lesotho	51	Montenegro	74.5
Chad	51	Croatia	77.5
Guinea	55	Israel	82.1
Cameroon	61.5	Iceland	83.3
Bangladesh	70

Question 4 of 8

Create a box and whisker plot using the data set below.

Name	Age	Country	Years
Nobel Laureates
Mikhail Sergeyevich Gorbachev	59	Robert Alexander Mundell	67
Thomas Crombie Schelling	84	Robert Floyd Curl Jr.	63
Rigoberta Menchú Tum	33	Richard Axel	58
Mairéad Corrigan-Maguire	32	Koichi Tanaka	43
Hans Georg Dehmelt	67	George Elwood Smith	79
Doris May Lessing	88	Vernon Lomax Smith	75
Werner Arber	49	Leo Esaki	48
Russell Alan Hulse	61.5	Hamilton Othanel SMith	47

Question 5 of 8

Create a box and whisker plot using the data set below.

Name	Exam Score out of 20	Name	Exam Score out of 20
Exam Results
James	16	Mary	13
John	15	Patricia	20
Linda	19	David	7
Nancy	9	Mark	11
Steven	15	Peter	12
Carol	11	Kevin	7
Timothy	5	Rebecca	18

Question 6 of 8

The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the interquartile range.

$\text(IQR )=$ (6)

Question 7 of 8

7. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the median.
- $\text(Median )=$ (4.5)
Correct

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Incorrect

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 $color(tomato)(4.5)$ on the number line.

Therefore, the median of the box and whisker plot is $4.5$ .

$\text(Median)=4.5$
Question 8 of 8

8. Question
The box and whisker plot below represents the number of goals scored per month by a soccer team. Find the median.
- $\text(Median )=$ (50)
Correct

Keep Going!

Incorrect

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 $color(tomato)(50)$ on the number line.

Therefore, the median of the box and whisker plot is $50$ .

$\text(Median)=50$

$32$	$33$	$43$	$43$	$47$	$48$	$49$	$58$	$=$	$\text(Lower Half)$
$59$	$63$	$67$	$67$	$75$	$79$	$84$	$88$	$=$	$\text(Greater Half)$

$32$	$33$	$43$	$43$	$47$	$48$	$49$	$58$
$59$	$63$	$67$	$67$	$75$	$79$	$84$	$88$

$\text(IQR)$	$=$	$color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))$	Interquartile Range formula
	$=$	$color(deeppink)(10)-color(darkviolet)(4)$	Substitute values
	$=$	$6$	Evaluate

Create and Interpret Box & Whisker Plots 4

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Quiz summary

Information

1. Question

Hint

Nice Job!

2. Question

Great Work!

3. Question

Keep Going!

4. Question

Fantastic!

5. Question

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6. Question

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Interquartile Range

Remember

7. Question

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8. Question

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Quizzes

$2$	$4$	$5$	$6$	$=$	$\text(Lower Half)$
$7$	$9$	$11$	$12$	$=$	$\text(Greater Half)$

$\text(Lower Quartile)$	$=$	$(4+5)/2$

	$=$	$4.5$

$\text(Upper Quartile)$	$=$	$(9+11)/2$

	$=$	$10$

$31$	$36$	$47$	$47$	$=$	$\text(Lower Half)$
$52$	$52$	$54$	$54$	$=$	$\text(Greater Half)$

$\text(Lower Quartile)$	$=$	$(36+47)/2$

	$=$	$41.5$

$\text(Upper Quartile)$	$=$	$(52+54)/2$

	$=$	$53$

$50$	$51$	$51$	$55$	$61.5$	$=$	$\text(Lower Half)$
$72$	$74.5$	$77.5$	$82.1$	$83.3$	$=$	$\text(Greater Half)$

$\text(Lower Quartile)$	$=$	$(43+47)/2$

	$=$	$45$

$\text(Upper Quartile)$	$=$	$(67+75)/2$

	$=$	$71$

$\text(Highest Score)$	$=$	$12$
$\text(Lowest Score)$	$=$	$2$

$\text(Highest Score)$	$=$	$54$
$\text(Lowest Score)$	$=$	$31$

$\text(Highest Score)$	$=$	$50$
$\text(Lowest Score)$	$=$	$83.3$

$\text(Highest Score)$	$=$	$88$
$\text(Lowest Score)$	$=$	$32$