Create and Interpret Stem & Leaf Plots

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Question 1 of 10

1. Question
The data shows the number of hours worked in a week by a group of $20$ employees. Arrange the data in a stem & leaf plot.

$12$ $28$ $14$ $13$ $19$ $21$ $32$ $34$

$33$ $28$ $18$ $29$ $24$ $23$ $32$ $17$

$19$ $34$ $38$ $16$

Enter the value for each respective column in the table below
- Stem Leaf
  
  (1) (2) (3) (4) (6) (7) (8) (9) (9)
  
  (2) (1) (3) (4) (8) (8) (9)
  
  (3) (2) (2) (3) (4) (4) (8)
Hint

Help Video

Correct

Great Work!

Incorrect

Help Video

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, identify all the possible first digits of the scores and list them in the Stem column.

Stem Leaf

1

2

3

Next, read across the data while listing them to their corresponding stem.

List the scores’ last digit to the Leaf column.

$12$ $28$ $14$ $13$ $19$ $21$ $32$ $34$

$33$ $28$ $18$ $29$ $24$ $23$ $32$ $17$

$19$ $34$ $38$ $16$

Stem Leaf

1 2    4

2 8

3

Continue doing this until all scores are listed.

Stem Leaf

1 2    4    3    9    8    7    9    6

2 8    1    8    9    4    3

3 2    4    3    2    4    8

Finally, arrange the values on the Leaf column in ascending order.

Stem Leaf

1 2    3    4    6    7    8    9    9

2 1    3    4    8    8    9

3 2    2    3    4    4    8

Stem Leaf

1 2    3    4    6    7    8    9    9

2 1    3    4    8    8    9

3 2    2    3    4    4    8

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

Stem	Leaf
1
2
3

Stem	Leaf
1	2 4
2	8
3

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

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

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

Question 2 of 10

The data collected shows the pulse rate of

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

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

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 3 of 10

Two brands of batteries, Brand

$X$ and Brand

$Y$ , are compared by testing

$10$ batteries of each brand until they fail. The lengths of the battery lives are recorded to the nearest hour. Which brand is better?

Brand $X$	$21$	$25$	$30$	$18$	$36$	$17$	$28$	$14$	$30$	$24$
Brand $Y$	$32$	$34$	$36$	$41$	$30$	$31$	$18$	$32$	$16$	$29$

Enter the value for each respective column in the table below

Brand $Y$	Stem	Brand $X$
(8) (6)	(1)	(4) (7) (8)
(9)	(2)	(1) (4) (5) (8)
(6) (4) (2) (2) (1) (0)	(3)	(0) (0) (6)
(1)	(4)

Brand $Y$	Stem	Brand $X$
	1
	2	1 5
2 4 6	3	0
	4

Brand $Y$	Stem	Brand $X$
8 6	1	8 7 4
9	2	1 5 8 4
2 4 6 0 1 2	3	0 6 0
1	4

Brand $Y$	Stem	Brand $X$
8 6	1	4 7 8
9	2	1 4 5 8
6 4 2 2 1 0	3	0 0 6
1	4

Brand $Y$	Stem	Brand $X$
8 6	1	4 7 8
9	2	1 4 5 8
6 4 2 2 1 0	3	0 0 6
1	4

Question 4 of 10

This stem & leaf plot shows the marks of

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

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

$\text(Mode )=$ (63)

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

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

Question 5 of 10

This stem & leaf plot shows the marks of

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

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

$\text(Range )=$ (55)

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

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

Question 6 of 10

This stem & leaf plot shows the marks of

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

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

$\text(Median )=$ (64)

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

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

Question 7 of 10

This stem & leaf plot shows the marks of

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

Round your answer to the nearest whole number

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

$\text(Mean )=$ (67)

Incorrect

Help Video

Mean Formula

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

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.

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

Next, divide the sum of all values

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

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

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

	$=$	$67$	Rounded to a whole number

$\text(Mean)=67$

Question 8 of 10

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)

Question 9 of 10

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

Stem Leaf

$5$ $6    7$

$6$
$7$ $2    3    5    5    6    6    8$

$8$ $3    4$
- $\text(IQR )=$ (6)
Correct

Excellent!

Incorrect

Interquartile Range

$\text(IQR )=$ $\text(Q)_\text(Upper)$ $-$ $\text(Q)_\text(Lower)$

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, since the total number of scores is $11$ , the middle score should be the $6$ th score.

Simply count the numbers under the Leaf column until you reach the $6$ th score.

Stem Leaf

5 6    7

6

7 2    3    5    5    6    6    8

8 1    3

The $6$ th number is along Stem 7, specifically Leaf 5.

Hence, the median is $75$ , which is the two numbers combined.

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

Find the median of both quartiles to get the lower and upper quartiles

Lower Half

Stem Leaf

5 6    7

6

7 2    3    5

8

Greater Half

Stem Leaf

5

6

7 6    6    8

8 1    3

$\text(Lower Quartile)$ $=$ $72$

$\text(Upper Quartile)$ $=$ $78$

Finally, use the formula to get the interquartile range.

$\text(IQR)$ $=$ $\text(Q)_\text(Upper)$ $-$ $\text(Q)_\text(Lower)$ Interquartile Range formula

$=$ $78$ $-$ $72$ Substitute values

$=$ $6$ Evaluate

$\text(IQR)=6$

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

Lower Half
Stem	Leaf
4	3 8
5	0 2 5 5 6
6	1 3 3
7
8

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

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

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

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

Greater Half
Stem	Leaf
5
6
7	6 6 8
8	1 3

Question 10 of 10

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

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

$\text(IQR )=$ (29.5)

$\text(Highest Score)$	$=$	$95$
$\text(Lowest Score)$	$=$	$40$

Create and Interpret Stem & Leaf Plots

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Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Hint

Correct!

3. Question

Hint

Keep Going!

4. Question

Hint

Fantastic!

5. Question

Hint

Excellent!

Range Formula

Remember

6. Question

Hint

Nice Job!

7. Question

Hint

Well Done!

Mean Formula

8. Question

Hint

Correct!

Interquartile Range

9. Question

Excellent!

Interquartile Range

10. Question

Exceptional!

Interquartile Range

Quizzes

$12$	$28$	$14$	$13$	$19$	$21$	$32$	$34$
$33$	$28$	$18$	$29$	$24$	$23$	$32$	$17$
$19$	$34$	$38$	$16$

$12$	$28$	$14$	$13$	$19$	$21$	$32$	$34$
$33$	$28$	$18$	$29$	$24$	$23$	$32$	$17$
$19$	$34$	$38$	$16$

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

Brand $X$	$21$	$25$	$30$	$18$	$36$	$17$	$28$	$14$	$30$	$24$
Brand $Y$	$32$	$34$	$36$	$41$	$30$	$31$	$18$	$32$	$16$	$29$

$\text(Range)$	$=$	$\text(Highest Score)$ $-$ $\text(Lowest Score)$	Finding the range
	$=$	$95$ $-$ $40$	Substitute values
	$=$	$55$	Evaluate

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

	$=$	$55$

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

	$=$	$71$

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

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

	$=$	$28.5$

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

	$=$	$58$