Create and Interpret Stem & Leaf Plots 3

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Question 1 of 8

1. Question

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)

Hint

Help Video

Correct

Correct!

Incorrect

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
4
5
6
7
8
9

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

List the scores’ last digit to the Leaf column.

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

Stem	Leaf
4
5	4
6	6
7
8	6
9

Continue doing this until all scores are listed.

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

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

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

2. Question

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)

Hint

Help Video

Correct

Well Done!

Incorrect

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`

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 3 of 8

3. Question

This stem & leaf plot shows the marks of `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

`\text(Range )=` (73)

Correct

Keep Going!

Incorrect

Range Formula

`\text(Highest Score)``-``\text(Lowest Score)`

Remember

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

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

Next, find the highest and the lowest score. This will be the numbers at the bottom and columns.

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

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

Finally, subtract the lowest score from the highest score to get the range

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

`\text(Range)=73`

Question 4 of 8

4. Question

This stem & leaf plot shows the marks of `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

`\text(Mean )=` (40.31)

Correct

Keep Going!

Incorrect

Mean Formula

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

Next, divide the sum of all values `color(forestgreen)(sum x)` by the number of values `(color(tomato)(N))`.

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

	`=`	`(color(forestgreen)(1169))/(color(tomato)(29))`	There are `29` given values

	`=`	`40.31`	Rounded to two decimal places

`\text(Mean)=40.31`

Question 5 of 8

5. Question

This stem & leaf plot shows the marks of `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

`\text(Median )=` (35)

Correct

Keep Going!

Incorrect

The median is the middle score in a data set.

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

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

Since the total number of scores is `29`, the middle score should be the `15`th score.

`29/2=14.5` and always round up which equals the `15`th score

Simply count the numbers under the Leaf column until you reach the `15`th score.

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

The `15`th number is along Stem 3, specifically Leaf 5.

Hence, the median is `35`, which is the two numbers combined.

`\text(Median)=35`

Question 6 of 8

6. Question
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)
Correct

Exceptional!

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 `17`, the middle score should be the `9`th score.

`17/2=8.5` and always round up which equals the `9`th score

Simply count the numbers under the Leaf column until you reach the `9`th score.

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

The `9`th value is along Stem 4, specifically Leaf 4.

Hence, the median is `44`, which is the two numbers combined.

The median divides the data set into two quartiles, each with `8` values.

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

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

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

`=` `28.5`

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

`=` `58`

Finally, use the formula to get the interquartile range.

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

`=` `58``-``28.5` Substitute values

`=` `29.5` Evaluate

`\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`

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

7. Question

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)

Correct

Keep Going!

Incorrect

Interquartile Range

`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\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 `27`, the middle score should be the `color(darkgoldenrod)(14)`th score.

`27/2=13.5` and always round up which equals the `14`th score

Simply count the numbers under the Leaf column until you reach the `color(darkgoldenrod)(14)th` score.

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

The `color(darkgoldenrod)(14)`th number is along Stem 4, specifically Leaf 1.

Hence, the median is 41, which is the two numbers combined.

The median divides the data set into two quartiles, each with `13` values.

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

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

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

Finally, use the formula to get the interquartile range.

`\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

`\text(IQR)=40`

Question 8 of 8

8. Question

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)

Correct

Keep Going!

Incorrect

Interquartile Range

`\text(IQR )=color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\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 `27`, the middle score should be the `color(darkgoldenrod)(14)`th score.

`27/2=13.5` and always round up which equals the `14`th score

Simply count the numbers under the Leaf column until you reach the `color(darkgoldenrod)(14)th` score.

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

The `color(darkgoldenrod)(14)`th number is along Stem 6, specifically Leaf 6.

Hence, the median is 66, which is the two numbers combined.

The median divides the data set into two quartiles, each with `13` values.

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

Stem	Leaf
Lower Half
3	9
4	9
5	1 2 3 4 4 6 7 9
6	1 1 5

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

Finally, use the formula to get the interquartile range.

`\text(IQR)`	`=`	`color(deeppink)(\text(Q)_\text(Upper))-color(darkviolet)(\text(Q)_\text(Lower))`	Interquartile Range formula
	`=`	`color(deeppink)(88)-color(darkviolet)(54)`	Substitute values
	`=`	`34`	Evaluate

`\text(IQR)=34`

Quizzes

Find Mean, Mode, Median and Range 1
Find Mean, Mode, Median and Range 2
Find Mean, Mode, Median and Range 3
Create Frequency Tables & Graphs
Interpret Frequency Tables 1
Interpret Frequency Tables 2
Create and Interpret Bar & Line Graphs (Histograms)
Interpret Cumulative Frequency Tables and Charts 1
Interpret Cumulative Frequency Tables and Charts 2
Create Grouped Frequency Tables and Graphs
Interpret Grouped Frequency Tables
Create and Interpret Dot Plots (Line Plots) 1
Create and Interpret Dot Plots (Line Plots) 2
Finding the Interquartile Range 1
Finding the Interquartile Range 2
Create and Interpret Box & Whisker Plots 1
Create and Interpret Box & Whisker Plots 2
Create and Interpret Box & Whisker Plots 3
Create and Interpret Box & Whisker Plots 4
Create and Interpret Stem & Leaf Plots 1
Create and Interpret Stem & Leaf Plots 2
Create and Interpret Stem & Leaf Plots 3
Create and Interpret Stem & Leaf Plots 4

`\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