Create and Interpret Stem & Leaf Plots 4

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Question 1 of 7

This stem & leaf plot shows the marks of $27$ students in a science quiz. Find the median.

Stem	Leaf
1	3
2	1 2 3 6
3	1 2 4 5 9
4	1 1 2 4 5 5 6 6 8
5	2 4
6
7	1 2
8	2
9	1 5 9

$\text(Median )=$ (44)

Question 2 of 7

This stem & leaf plot shows the marks of $29$ students in a science quiz. Find the median.

Stem	Leaf
2	3 5 6
3	3 5 6 8 9
4	2 2 4 6 7 7 7 8 8 9
5	2 4 6 8 8
6	5 8 9
7	4 5
8	7

$\text(Median )=$ (47)

Question 3 of 7

This stem & leaf plot shows the marks of $27$ students in a science quiz. Find the mean.

Round your answer to two decimal places

Stem	Leaf
3	9
4	9
5	1 2 3 4 4 6 7 9
6	1 1 5 6
7	1 4 6 6
8	2 5 8
9	2 2 2 3 4 5

$\text(Mean )=$ (69.89)

Question 4 of 7

This stem & leaf plot shows the marks of $27$ students in a science quiz. Find the mean.

Round your answer to two decimal places

Stem	Leaf
1	1 1 2 2 8
2	1 2 2 4 4 5 6 7
3	2 5 6 6 7 8 9
4	2 5 5 5 6
5	3
6
7	3

$\text(Mean )=$ (31.74)

Question 5 of 7

Find the interquartile range of the stem and leaf plot below.

Stem	Leaf
1	1 1 2 2 8
2	1 2 2 4 4 5 6 7
3	2 5 6 6 7 8 9
4	2 5 5 5 6
5	3
6
7	3

$\text(IQR )=$ (20)

Lower Half
Stem	Leaf
1	1 1 2 2 8
2	1 2 2 4 4 5 6 7

Greater Half
Stem	Leaf
3	5 6 6 7 8 9
4	2 5 5 5 6
5	3
6
7	3

Question 6 of 7

Find the interquartile range of the stem and leaf plot below.

Stem	Leaf
2	3 5 6
3	3 5 6 8 9
4	2 2 4 6 7 7 7 8 8 9
5	2 4 6 8 8
6	5 8 9
7	4 5
8	7

$\text(IQR )=$ (19.5)

Lower Half
Stem	Leaf
2	3 5 6
3	3 5 6 8 9
4	2 2 5 6 7 7

Greater Half
Stem	Leaf
4	8 8 9
5	2 4 6 8 8
6	5 8 9
7	4 5
8	7

Question 7 of 7

Find the interquartile range of the stem and leaf plot below.

Stem	Leaf
$4$	$3 8$
$5$	$0 2 5 5 6$
$6$	$1 3 3 6 7 7 8 9$
$7$	$0 2 4 8$
$8$	$1 3$

$\text(IQR )=$ (16)

$color(forestgreen)(sum x)$	$=$	$35+49+51+52+53+54+54+56+$
		$57+59+61+61+65+66+71+74+$
		$76+76+82+85+88+92+92+$
		$92+93+94+95$
	$=$	$1,887$

$\text(Mean)$	$=$	$(color(forestgreen)(sum x))/(color(tomato)(N))$	Finding the mean

	$=$	$(color(forestgreen)(1887))/(color(tomato)(27))$	There are $27$ given values

	$=$	$69.89$	Rounded to two decimal places

$color(forestgreen)(sum x)$	$=$	$11+11+12+12+18+21+22+22+$
		$24+24+25+26+27+32+35+36+$
		$36+37+38+39+42+45+45$
		$+45+46+53+73$
	$=$	$857$

$\text(Mean)$	$=$	$(color(forestgreen)(sum x))/(color(tomato)(N))$	Finding the mean

	$=$	$(color(forestgreen)(857))/(color(tomato)(27))$	There are $27$ given values

	$=$	$31.74$	Rounded to two decimal places

$\text(IQR)$	$=$	$color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))$	Interquartile Range formula
	$=$	$color(deeppink)(42)-color(darkviolet)(22)$	Substitute values
	$=$	$20$	Evaluate

Create and Interpret Stem & Leaf Plots 4

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Quiz summary

Information

1. Question

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2. Question

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3. Question

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Mean Formula

4. Question

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Mean Formula

5. Question

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Interquartile Range

6. Question

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Interquartile Range

7. Question

Hint

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Interquartile Range

Quizzes

$\text(Lower Quartile)$	$=$	$(38+39)/2$

	$=$	$38.5$

$\text(Upper Quartile)$	$=$	$(58+58)/2$

	$=$	$58$

$\text(Lower Quartile)$	$=$	$(55+55)/2$

	$=$	$55$

$\text(Upper Quartile)$	$=$	$(70+72)/2$

	$=$	$71$

$\text(IQR)$	$=$	$\text(Q)_\text(Upper)$ $-$ $\text(Q)_\text(Lower)$	Interquartile Range formula
	$=$	$71$ $-$ $55$	Substitute values
	$=$	$16$	Evaluate