Create and Interpret Dot Plots (Line Plots) 1

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Question 1 of 9

1. Question
Create a dot plot using the data set below.

$3$ $3$ $3$ $3$ $3$ $3$ $3$ $3$ $4$ $4$ $5$ $5$

$5$ $5$ $5$ $5$ $5$ $5$ $5$ $5$ $7$ $7$
- 1.
- 2.
- 3.
- 4.
Correct

Well Done!

Incorrect

A dot plot is a number line that contains all possible scores from a data set and uses dots to represent frequency.

First, find the highest and the lowest score.

$Highest Score$ $\text(Highest Score)$ $=$ $=$ $7$ $7$

$Lowest Score$ $\text(Lowest Score)$ $=$ $=$ $3$ $3$

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

Next, read across the data while placing a dot above the corresponding score.

$3$ $3$ $3$ $3$ $3$ $3$ $3$ $3$ $4$ $4$ $5$ $5$

$5$ $5$ $5$ $5$ $5$ $5$ $5$ $5$ $7$ $7$

Continue doing this until all scores are accounted for.

To check, count the total dots and make sure it is equal to the number of given scores, which is $11$ $11$ .
Question 2 of 9

2. Question
Create a dot plot using the data set below.

$15$ $15$ $14$ $14$ $14$ $14$ $14$ $14$ $17$ $17$ $15$ $15$ $20$ $20$

$18$ $18$ $17$ $17$ $13$ $13$ $15$ $15$ $23$ $23$ $17$ $17$ $12$ $12$

$14$ $14$ $12$ $12$ $20$ $20$
- 1.
- 2.
- 3.
- 4.
Correct

Excellent!

Incorrect

A dot plot is a number line that contains all possible scores from a data set and uses dots to represent frequency.

First, find the highest and the lowest score.

$Highest Score$ $\text(Highest Score)$ $=$ $=$ $23$ $23$

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

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

Next, read across the data while placing a dot above the corresponding score.

$15$ $15$ $14$ $14$ $14$ $14$ $14$ $14$ $17$ $17$ $15$ $15$ $20$ $20$

$18$ $18$ $17$ $17$ $13$ $13$ $15$ $15$ $23$ $23$ $17$ $17$ $12$ $12$

$14$ $14$ $12$ $12$ $20$ $20$

Continue doing this until all scores are accounted for.

To check, count the total dots and make sure it is equal to the number of given scores, which is $17$ $17$ .

Question 3 of 9

Create a dot plot using the data set below.

Country	Years	Country	Years
Life Expectancy
Rwanda	60	Albania	74
Senegal	64	Libya	75
Pakistan	67	Colombia	75
Papua New Guinea	68	Bulgaria	75
Nepal	69	Capa Verde	75
North Korea	69	Grenada	77
Iraq	69	Dominica	78
Egypt	73	Iceland	83

Incorrect

A dot plot is a number line that contains all possible scores from a data set and uses dots to represent frequency.

First, find the highest and the lowest score.

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$83$ $83$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$60$ $60$

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

Next, read across the data while placing a dot above the corresponding score.

Country	Years	Country	Years
Rwanda	$60$ $60$	Albania	74
Senegal	$64$ $64$	Libya	75
Pakistan	$67$ $67$	Colombia	75
Papua New Guinea	68	Bulgaria	75
Nepal	69	Capa Verde	75
North Korea	69	Grenada	77
Iraq	69	Dominica	78
Egypt	73	Iceland	83

Continue doing this until all scores are accounted for.

To check, count the total dots and make sure it is equal to the number of given scores, which is

16

$16$ .

Question 4 of 9

4. Question
The scores for a game are represented on the dot plot below. Find the mode.
- $Mode =$ $\text(Mode )=$ (7)
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The mode of a data set is the value with the highest frequency

The mode of a dot plot is represented by the score with the most dots.

We can see that the score $7$ $7$ has $6$ $6$ dots, and is the most frequent score on the dot plot.

Therefore, the mode for this data set is $7$ $7$

$Mode = 7$ $\text(Mode)=7$
Question 5 of 9

5. Question
Find the mode of the dot plot below.
- $Mode =$ $\text(Mode )=$ (7)
Correct

Nice Job!

Incorrect

The mode of a data set is the value with the highest frequency

The mode of a dot plot is represented by the score with the most dots.

We can see that the score $7$ $7$ has $5$ $5$ dots, and is the most frequent score on the dot plot.

Therefore, the mode for this data set is $7$ $7$

$Mode = 7$ $\text(Mode)=7$

Question 6 of 9

The scores for a game are represented on the dot plot below. Find the range.

$Range =$ $\text(Range )=$ (8)

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Range Formula

$Highest Score$ $\text(Highest Score)$

-

$-$ $Lowest Score$ $\text(Lowest Score)$

Remember

The range of a data set is simply the difference between the largest and smallest values.

First, find the highest and the lowest score on the dot plot. Both points must have dots.

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$11$ $11$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$3$ $3$

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

$Range$ $\text(Range)$	$=$ $=$	$Highest Score$ $\text(Highest Score)$ $-$ $-$ $Lowest Score$ $\text(Lowest Score)$	Finding the range
	$=$ $=$	$11$ $11$ $-$ $-$ $3$ $3$	Substitute values
	$=$ $=$	$8$ $8$	Evaluate

Range = 8

$\text(Range)=8$

Question 7 of 9

7. Question
Find the median of the dot plot below.
- $Median =$ $\text(Median )=$ (11)
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The median is the middle value in an ordered set of data.

Take note that there is a total of $20$ $20$ scores on the dot plot, which is an even number.

Therefore, the median of the data set will be the average of the scores on the $10 t h$ $10th$ and $11 t h$ $11th$ positions.

$Median$ $\text(Median)$ $=$ $=$ $\frac{11 + 11}{2}$ $(11+11)/2$

$=$ $=$ $\frac{22}{2}$ $22/2$

$=$ $=$ $11$ $11$

$Median = 11$ $\text(Median)=11$
Question 8 of 9

8. Question
Find the median of the dot plot below.
- $Median =$ $\text(Median )=$ (15)
Correct

Well Done!

Incorrect

The median is the middle value in an ordered set of data.

Take note that there is a total of $17$ $17$ scores on the dot plot, which is an odd number.

Therefore, the median of the data set will be the score on the $9 t h$ $9th$ position.

$Median = 15$ $\text(Median)=15$

Question 9 of 9

Find the mean of the dot plot below.

Round your answer to two decimal places

$Mean =$ $\text(Mean )=$ (2.36)

Incorrect

Mean Formula

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

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

Remember

\sum x

$\color{#00880a}{{\small\sum} x}$ is the sum of all the given values.

$N$ $N$ is the number of given values.

First, solve for the sum of the given values.

The number of dots on a value indicates how many times a score occurs on the data set.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$1 + (2 \times 7) + (3 \times 2) + 5$ $1+(2xx7)+(3xx2)+5$
	$=$ $=$	$26$ $26$

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

	$=$ $=$	$\frac{\color{#00880a}{26}}{\color{#e85e00}{11}}$	There are $11$ $11$ given values

	$=$ $=$	$2.36$ $2.36$	Rounded to two decimal places

Mean = 2.36

$\text(Mean)=2.36$

Create and Interpret Dot Plots (Line Plots) 1

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Quiz summary

Information

1. Question

Well Done!

2. Question

Excellent!

3. Question

Keep Going!

4. Question

Hint

Great Work!

5. Question

Nice Job!

6. Question

Hint

Keep Going!

Range Formula

Remember

7. Question

Hint

Excellent!

8. Question

Well Done!

9. Question

Nice Job!

Mean Formula

Remember

Quizzes

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$7$ $7$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$3$ $3$

$3$ $3$	$3$ $3$	$3$ $3$	$3$ $3$	$4$ $4$	$5$ $5$
$5$ $5$	$5$ $5$	$5$ $5$	$5$ $5$	$7$ $7$

$15$ $15$	$14$ $14$	$14$ $14$	$14$ $14$	$17$ $17$	$15$ $15$	$20$ $20$
$18$ $18$	$17$ $17$	$13$ $13$	$15$ $15$	$23$ $23$	$17$ $17$	$12$ $12$
$14$ $14$	$12$ $12$	$20$ $20$

$15$ $15$	$14$ $14$	$14$ $14$	$14$ $14$	$17$ $17$	$15$ $15$	$20$ $20$
$18$ $18$	$17$ $17$	$13$ $13$	$15$ $15$	$23$ $23$	$17$ $17$	$12$ $12$
$14$ $14$	$12$ $12$	$20$ $20$

$Median$ $\text(Median)$	$=$ $=$	$\frac{11 + 11}{2}$ $(11+11)/2$

	$=$ $=$	$\frac{22}{2}$ $22/2$

	$=$ $=$	$11$ $11$