Create and Interpret Dot Plots (Line Plots) 2

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Question 1 of 11

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

$8$ $8$ $11$ $11$ $12$ $12$ $11$ $11$ $11$ $11$ $10$ $10$ $11$ $11$ $9$ $9$

$8$ $8$ $12$ $12$ $14$ $14$ $13$ $13$ $10$ $10$ $6$ $6$ $10$ $10$ $14$ $14$

$11$ $11$ $10$ $10$ $9$ $9$ $11$ $11$
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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.

$Highest Score$ $\text(Highest Score)$ $=$ $=$ $14$ $14$

$Lowest Score$ $\text(Lowest Score)$ $=$ $=$ $6$ $6$

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.

$8$ $8$ $11$ $11$ $12$ $12$ $11$ $11$ $11$ $11$ $10$ $10$ $11$ $11$ $9$ $9$

$8$ $8$ $12$ $12$ $14$ $14$ $13$ $13$ $10$ $10$ $6$ $6$ $10$ $10$ $14$ $14$

$11$ $11$ $10$ $10$ $9$ $9$ $11$ $11$

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 $20$ $20$ .
Question 2 of 11

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

$65$ $65$ $66$ $66$ $68$ $68$ $68$ $68$ $68$ $68$

$72$ $72$ $73$ $73$ $75$ $75$ $76$ $76$
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- 2.
- 3.
- 4.
Correct

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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.

$Highest Score$ $\text(Highest Score)$ $=$ $=$ $76$ $76$

$Lowest Score$ $\text(Lowest Score)$ $=$ $=$ $65$ $65$

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.

$65$ $65$ $66$ $66$ $68$ $68$ $68$ $68$ $68$ $68$

$72$ $72$ $73$ $73$ $75$ $75$ $76$ $76$

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 $9$ $9$ .

Question 3 of 11

Create a dot plot using the data set below.

Movies	No. of Awards
Academy Awards
Cavalcade	3
Tom Jones	4
Terms of Endearment	5
American Beauty	5
The Hurt Locker	6
Dance with Wolves	7
Slumdog Millionaire	8
My Fair Lady	8
Ben-Hur	11

Movies	No. of Awards
Cavalcade	$3$ $3$
Tom Jones	$4$ $4$
Terms of Endearment	$5$ $5$
American Beauty	5
The Hurt Locker	6
Dance with Wolves	7
Slumdog Millionaire	8
My Fair Lady	8
Ben-Hur	11

Question 4 of 11

Create a dot plot using the data set below.

State	Percent	State	Percent
Sales Tax
Oklahoma	5	New Mexico	5
New York	4	Illinois	6
Wisconsin	5	Kansas	6
Virginia	4	Colorado	3
North Carolina	5	Pennsylvania	6
Washington	7	Ohio	6
New Hampshire	0	Oregon	0
Alaska	0	Hawaii	4
Georgia	4

Question 5 of 11

5. Question
Find the mode of the dot plot below.
- $Mode =$ $\text(Mode )=$ (11)
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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 $11$ $11$ has $6$ $6$ dots, and is the most frequent score on the dot plot.

Therefore, the mode for this data set is $11$ $11$

$Mode = 11$ $\text(Mode)=11$
Question 6 of 11

6. Question
Find the mode of the dot plot below.
- $Mode =$ $\text(Mode )=$ (66)
Correct

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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 $66$ $66$ has $3$ $3$ dots, and is the most frequent score on the dot plot.

Therefore, the mode for this data set is $66$ $66$

$Mode = 66$ $\text(Mode)=66$
Question 7 of 11

7. Question
The scores for a game are represented on the dot plot below. Find the median.
- $Median =$ $\text(Median )=$ (7)
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The median is the middle value in an ordered set of data.

Take note that there is a total of $19$ $19$ scores on the dot plot, which is an odd number.

Therefore, the median of the data set will be the score on the $10 t h$ $10th$ position.

$Median = 7$ $\text(Median)=7$
Question 8 of 11

8. Question
Find the median of the dot plot below.
- $Median =$ $\text(Median )=$ (51)
Correct

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

Take note that there is a total of $10$ $10$ 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 $5 t h$ $5th$ and $6 t h$ $6th$ positions.

$Median$ $\text(Median)$ $=$ $=$ $\frac{49 + 53}{2}$ $(49+53)/2$

$=$ $=$ $\frac{102}{2}$ $102/2$

$=$ $=$ $51$ $51$

$Median = 51$ $\text(Median)=51$

State	Percent	State	Percent
Oklahoma	$5$ $5$	New Mexico	5
New York	$4$ $4$	Illinois	6
Wisconsin	$5$ $5$	Kansas	6
Virginia	4	Colorado	3
North Carolina	5	Pennsylvania	6
Washington	7	Ohio	6
New Hampshire	0	Oregon	0
Alaska	0	Hawaii	4
Georgia	4

Question 9 of 11

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

Round your answer to two decimal places

$Mean =$ $\text(Mean )=$ (7.53)

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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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$3 + (5 \times 2) + 6 + (7 \times 6) + (8 \times 4)$ $3+(5xx2)+6+(7xx6)+(8xx4)$
		$+(9xx2)+10+(11xx2)$
	$=$	$143$

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

	$=$	$\frac{\color{#00880a}{143}}{\color{#e85e00}{19}}$	There are $19$ given values

	$=$	$7.53$	Rounded to two decimal places

$\text(Mean)=7.53$

Question 10 of 11

Find the mean of the dot plot below.

Round your answer to two decimal places

$\text(Mean )=$ (46.69)

Incorrect

Mean Formula

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

Remember

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

$N$ 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.

$\color{#00880a}{{\small\sum} x}$	$=$	$39+(40xx2)+43+44+(45xx3)+47$
		$+48+49+50+51+52+53+56$
	$=$	$747$

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

	$=$	$\frac{\color{#00880a}{747}}{\color{#e85e00}{16}}$	There are $16$ given values

	$=$	$46.69$	Rounded to two decimal places

$\text(Mean)=46.69$

Question 11 of 11

11. Question
Find the outlier of the dot plot below.
- $\text(Outlier )=$ (6)
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The outlier is the score that is separated from the main body of data.

We can see on the dot plot that the value $6$ is separated from the rest of the dots

Therefore, the outlier of this data set is $6$

$\text(Outlier)=6$

Create and Interpret Dot Plots (Line Plots) 2

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Quiz summary

Information

1. Question

Hint

Great Work!

2. Question

Nice Job!

3. Question

Fantastic!

4. Question

Correct!

5. Question

Hint

Excellent!

6. Question

Great Work!

7. Question

Hint

Fantastic!

8. Question

Nice Job!

9. Question

Hint

Fantastic!

Mean Formula

Remember

10. Question

Great Work!

Mean Formula

Remember

11. Question

Hint

Exceptional!

Quizzes

$8$ $8$	$11$ $11$	$12$ $12$	$11$ $11$	$11$ $11$	$10$ $10$	$11$ $11$	$9$ $9$
$8$ $8$	$12$ $12$	$14$ $14$	$13$ $13$	$10$ $10$	$6$ $6$	$10$ $10$	$14$ $14$
$11$ $11$	$10$ $10$	$9$ $9$	$11$ $11$

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$14$ $14$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$6$ $6$

$8$ $8$	$11$ $11$	$12$ $12$	$11$ $11$	$11$ $11$	$10$ $10$	$11$ $11$	$9$ $9$
$8$ $8$	$12$ $12$	$14$ $14$	$13$ $13$	$10$ $10$	$6$ $6$	$10$ $10$	$14$ $14$
$11$ $11$	$10$ $10$	$9$ $9$	$11$ $11$

$65$ $65$	$66$ $66$	$68$ $68$	$68$ $68$	$68$ $68$
$72$ $72$	$73$ $73$	$75$ $75$	$76$ $76$

$65$ $65$	$66$ $66$	$68$ $68$	$68$ $68$	$68$ $68$
$72$ $72$	$73$ $73$	$75$ $75$	$76$ $76$

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$7$ $7$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$0$ $0$

$Median$ $\text(Median)$	$=$ $=$	$\frac{49 + 53}{2}$ $(49+53)/2$

	$=$ $=$	$\frac{102}{2}$ $102/2$

	$=$ $=$	$51$ $51$