Create and Interpret Stem & Leaf Plots 3

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Question 1 of 8

The data collected shows the pulse rate of

20

$20$ people in a gymnasium. Arrange the data in a stem and leaf plot.

$66$ $66$	$86$ $86$	$54$ $54$	$68$ $68$	$67$ $67$	$72$ $72$	$79$ $79$	$65$ $65$
$60$ $60$	$55$ $55$	$63$ $63$	$67$ $67$	$53$ $53$	$72$ $72$	$67$ $67$	$61$ $61$
$41$ $41$	$82$ $82$	$59$ $59$	$92$ $92$

Enter the value for each respective column in the table below

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

Stem	Leaf
4
5
6
7
8
9

Stem	Leaf
4
5	4
6	6
7
8	6
9

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

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

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

Question 2 of 8

This stem & leaf plot shows the marks of

23

$23$ students in a science quiz. Find the mean.

Round your answer to the nearest whole number

Stem	Leaf
$4$ $4$	$510$ $5 1 0$
$5$ $5$	$32684$ $3 2 6 8 4$
$6$ $6$	$83433$ $8 3 4 3 3$
$7$ $7$	$91658$ $9 1 6 5 8$
$8$ $8$	$728$ $7 2 8$
$9$ $9$	$51$ $5 1$

$Mean =$ $\text(Mean )=$ (67)

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Mean Formula

Mean = \frac{\sum x}{N}

$\text{Mean}=\frac{\color{#00880a}{\sum x}}{\color{#e85e00}{N}}$

A stem and leaf plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit).

First, solve for the sum of the given values.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$45 + 41 + 40 + 53 + 52 + 56 + 58 + 54$ $45+41+40+53+52+56+58+54$
		$+ 68 + 63 + 64 + 63 + 63 + 79 + 71$ $+68+63+64+63+63+79+71$
		$+ 76 + 75 + 78 + 87 + 82 + 88 + 95 + 91$ $+76+75+78+87+82+88+95+91$
	$=$ $=$	$1542$ $1542$

Next, divide the sum of all values

(\sum x)

$( \color{#00880a}{{\small\sum} x} )$ by the number of values ( $N$ $N$ ).

$Mean$ $\text(Mean)$	$=$ $=$	$\frac{\color{#00880a}{{\small\sum} x}}{\color{#e85e00}{N}}$	Finding the mean

	$=$ $=$	$\frac{\color{#00880a}{1542}}{\color{#e85e00}{23}}$	There are $23$ $23$ given values

	$=$ $=$	$67$ $67$	Rounded to a whole number

Mean = 67

$\text(Mean)=67$

Question 3 of 8

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

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

$Range =$ $\text(Range )=$ (73)

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

Question 4 of 8

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

Round your answer to two decimal places

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

$Mean =$ $\text(Mean )=$ (40.31)

Question 5 of 8

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

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

$Median =$ $\text(Median )=$ (35)

Question 6 of 8

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

Stem	Leaf
$1$ $1$	$6$ $6$
$2$ $2$	$346$ $3 4 6$
$3$	$1$
$4$	$1 3 4 4 5 9$
$5$	$3 8 8 8 9$
$6$	$4$

$\text(IQR )=$ (29.5)

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

Lower Half
Stem	Leaf
1	6
2	3 4 6
3	1
4	1 3 4
5
6

Greater Half
Stem	Leaf
1
2
3
4	5 9
5	3 8 8 8 9
6	4

Question 7 of 8

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

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

$\text(IQR )=$ (40)

Lower Half
Stem	Leaf
1	1 1 2 2 8
2	1 2 7
3	1 2 4 5 9

Greater Half
Stem	Leaf
4	5 5 6 6
5	8
6	1 2 4
7	1 2 5 9
8	2

Question 8 of 8

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

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

$\text(IQR )=$ (34)

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$95$ $95$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$22$ $22$

$Range$ $\text(Range)$	$=$ $=$	$Highest Score - Lowest Score$ $color(deeppink)(\text(Highest Score))-color(darkviolet)(\text(Lowest Score))$	Finding the range
	$=$ $=$	$95 - 22$ $color(deeppink)(95)-color(darkviolet)(22)$	Substitute values
	$=$ $=$	$73$ $73$	Evaluate

$\sum x$ $color(forestgreen)(sum x)$	$=$ $=$	$12 + 13 + 16 + 18 + 21 + 23 + 25 +$ $12+13+16+18+21+23+25+$
		$27 + 29 + 29 + 29 + 31 + 32 + 34 +$ $27+29+29+29+31+32+34+$
		$35 + 36 + 37 + 45 + 45 + 48 + 49 + 52 + 55$ $35+36+37+45+45+48+49+52+55$
		$+ 61 + 62 + 66 + 77 + 78 + 84$ $+61+62+66+77+78+84$
	$=$ $=$	$1, 169$ $1,169$

$\text(Lower Quartile)$	$=$	$(26+31)/2$

	$=$	$28.5$

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

	$=$	$58$

$\text(IQR)$	$=$	$\text(Q)_\text(Upper)$ $-$ $\text(Q)_\text(Lower)$	Interquartile Range formula
	$=$	$58$ $-$ $28.5$	Substitute values
	$=$	$29.5$	Evaluate

Create and Interpret Stem & Leaf Plots 3

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Quiz summary

Information

1. Question

Hint

Correct!

2. Question

Hint

Well Done!

Mean Formula

3. Question

Keep Going!

Range Formula

Remember

4. Question

Keep Going!

Mean Formula

5. Question

Keep Going!

6. Question

Exceptional!

Interquartile Range

7. Question

Keep Going!

Interquartile Range

8. Question

Keep Going!

Interquartile Range

Quizzes

$66$ $66$	$86$ $86$	$54$ $54$	$68$ $68$	$67$ $67$	$72$ $72$	$79$ $79$	$65$ $65$
$60$ $60$	$55$ $55$	$63$ $63$	$67$ $67$	$53$ $53$	$72$ $72$	$67$ $67$	$61$ $61$
$41$ $41$	$82$ $82$	$59$ $59$	$92$ $92$

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

	$=$ $=$	$\frac{1169}{29}$ $(color(forestgreen)(1169))/(color(tomato)(29))$	There are $29$ $29$ given values

	$=$ $=$	$40.31$ $40.31$	Rounded to two decimal places

$\text(IQR)$	$=$	$color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))$	Interquartile Range formula
	$=$	$color(deeppink)(62)-color(darkviolet)(22)$	Substitute values
	$=$	$40$	Evaluate