Mean, Mode, Median and Range

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Question 1 of 18

Find the mean

7

$7$

3

$3$

5

$5$

8

$8$

4

$4$

6

$6$

3

$3$

Round your answer to one decimal place

$Mean =$ $\text(Mean )=$ (5.1)

Incorrect

Help Video

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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$7 + 3 + 5 + 8 + 4 + 6 + 3$ $7+3+5+8+4+6+3$
	$=$ $=$	$36$ $36$	Evaluate

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

	$=$ $=$	$\frac{\color{#00880a}{36}}{\color{#e85e00}{7}}$	There are $7$ $7$ given values

	$=$ $=$	$5.1$ $5.1$	Rounded to one decimal place

Mean = 5.1

$\text(Mean)=5.1$

Question 2 of 18

Find the mean

1

$1$

3

$3$

4

$4$

5

$5$

5

$5$

6

$6$

7

$7$

7

$7$

12

$12$

Round your answer to one decimal place

$Mean =$ $\text(Mean )=$ (5.6)

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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$1 + 3 + 4 + 5 + 5 + 6 + 7 + 7 + 12$ $1+3+4+5+5+6+7+7+12$
	$=$ $=$	$50$ $50$	Evaluate

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

	$=$ $=$	$\frac{\color{#00880a}{50}}{\color{#e85e00}{9}}$	There are $9$ $9$ given values

	$=$ $=$	$5.6$ $5.6$	Rounded to one decimal place

Mean = 5.6

$\text(Mean)=5.6$

Question 3 of 18

Find the mean

$8$ $8$	$10$ $10$	$9$ $9$	$10.5$ $10.5$	$9$ $9$	$7$ $7$	$8.5$ $8.5$
$6$ $6$	$10$ $10$	$7$ $7$	$8$ $8$	$6$ $6$	$8$ $8$	$6$ $6$
$6.5$ $6.5$

Round your answer to two decimal places

$Mean =$ $\text(Mean )=$ (7.97)

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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$8 + 10 + 9 + 10.5 + 9 + 7 + 8.5 + 6$ $8+10+9+10.5+9+7+8.5+6$
		$+ 10 + 7 + 8 + 6 + 8 + 6 + 6.5$ $+10+7+8+6+8+6+6.5$
	$=$ $=$	$119.5$ $119.5$	Evaluate

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

	$=$ $=$	$\frac{\color{#00880a}{119.5}}{\color{#e85e00}{15}}$	There are $15$ $15$ given values

	$=$ $=$	$7.97$ $7.97$	Rounded to two decimal places

Mean = 7.97

$\text(Mean)=7.97$

Question 4 of 18

Find the mean

$50$ $50$	$51$ $51$	$53$ $53$	$44$ $44$	$49$ $49$	$52$ $52$	$49$ $49$
$51$ $51$	$51$ $51$	$50$ $50$	$56$ $56$	$48$ $48$	$32$ $32$	$50$ $50$
$53$ $53$	$42$ $42$

Round your answer to two decimal places

$Mean =$ $\text(Mean )=$ (48.81)

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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$50 + 51 + 53 + 44 + 49 + 52 + 49 + 51 + 51$ $50+51+53+44+49+52+49+51+51$
		$+ 50 + 56 + 48 + 32 + 50 + 53 + 42$ $+50+56+48+32+50+53+42$
	$=$ $=$	$781$ $781$	Evaluate

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

	$=$ $=$	$\frac{\color{#00880a}{781}}{\color{#e85e00}{16}}$	There are $16$ $16$ given values

	$=$ $=$	$48.81$ $48.81$	Rounded to two decimal places

Mean = 48.81

$\text(Mean)=48.81$

Question 5 of 18

5. Question
Find the mode

$3$ $3$ $5$ $5$ $3$ $3$ $8$ $8$ $4$ $4$ $6$ $6$ $3$ $3$
- $Mode =$ $\text(Mode )=$ (3)
Hint

Help Video

Correct

Correct!

Incorrect

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

We need to identify the value that appeared most from the data set.

$3$ $3$ $5$ $5$ $3$ $3$ $8$ $8$ $4$ $4$ $6$ $6$ $3$ $3$

We can see that the value $3$ $3$ occured three times, and is the most frequent value of the data set.

Therefore, the mode for this data set is $3$ $3$

$Mode = 3$ $\text(Mode)=3$
Question 6 of 18

6. Question
Find the mode

$1$ $1$ $2$ $2$ $2$ $2$

$2$ $3$ $3$ $4$ $4$
- $\text(Mode )=$ (2)
Correct

Keep Going!

Incorrect

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

We need to identify the value that appeared most from the data set.

$1$ $1$ $2$ $2$ $2$ $2$

$2$ $3$ $3$ $4$ $4$

We can see that the value $2$ occured five times, and is the most frequent value of the data set.

Therefore, the mode for this data set is $2$

$\text(Mode)=2$
Question 7 of 18

7. Question
Find the mode

$70$ $69$ $70$ $68$ $69$ $65$ $71$ $69$ $69$

$71$ $66$ $70$ $68$ $73$ $71$ $68$ $71$
- $\text(Mode )=$ (69, 71) and (71, 69)
Correct

Fantastic!

Incorrect

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

We need to identify the value that appeared most from the data set.

$70$ $69$ $70$ $68$ $69$ $65$ $71$ $69$ $69$

$71$ $66$ $70$ $68$ $73$ $71$ $68$ $71$

We can see that the both the values $69$ and $71$ occured four times each, and are the most frequent values of the data set.

Therefore, the modes for this data set are $69$ and $71$

$\text(Mode)=69$ and $71$

Question 8 of 18

Find the mode

$59.6$	$5.6$	$36.2$	$61.6$	$66.4$
$66.6$	$55.4$	$47.8$	$61.4$	$43.8$
$16$	$48.2$	$15.2$	$14.4$	$54.6$
$47.8$	$37.6$	$26.8$	$32.4$	$62.8$
$67.8$	$47.4$	$46.6$

$\text(Mode )=$ (47.8)

Question 9 of 18

9. Question
Find the median

$6$ $5$ $3$ $8$ $4$ $6$ $8$
- $\text(Median )=$ (6)
Hint

Help Video

Correct

Nice Job!

Incorrect

Help Video

The median is the middle value of a data set.

If there are two middle values on a data set, we get their sum and halve it to get the median.

First, arrange the values of the data set in ascending order

$3$ $4$ $5$ $6$ $6$ $8$ $8$

We can see that the value $6$ is the middle value of the data set.

Therefore, the median for this data set is $6$

$\text(Median)=6$
Question 10 of 18

10. Question
Find the median

$5$ $8$ $7$ $8$ $4$ $6$ $3$ $6$
- $\text(Median )=$ (6)
Hint

Help Video

Correct

Well Done!

Incorrect

Help Video

The median is the middle value of a data set.

If there are two middle values on a data set, we get their sum and halve it to get the median.

First, arrange the values of the data set in ascending order

$3$ $4$ $5$ $6$ $6$ $7$ $8$ $8$

We can see that the values $6$ and $6$ are the middle values of the data set.

To find the median, we add the two middle values and divide it by $2$

$\text(Median)$ $=$ $(6+6)/2$

$=$ $12/2$

$=$ $6$

$\text(Median)=6$
Question 11 of 18

11. Question
Find the median

$1$ $3$ $4$ $5$ $5$ $6$ $7$ $7$ $12$
- $\text(Median )=$ (5)
Correct

Keep Going!

Incorrect

The median is the middle value of a data set.

If there are two middle values on a data set, we get their sum and halve it to get the median.

First, arrange the values of the data set in ascending order

$1$ $3$ $4$ $5$ $5$ $6$ $7$ $7$ $12$

We can see that the value $5$ is the middle value of the data set.

Therefore, the median for this data set is $5$

$\text(Median)=5$
Question 12 of 18

12. Question
Find the median

$5$ $3$ $3$ $7$ $9$ $11$ $6$ $5$

$5$ $5$ $6$ $5$ $9$ $7$ $9$ $3$
- $\text(Median )=$ (5.5)
Correct

Great Work!

Incorrect

The median is the middle value of a data set.

If there are two middle values on a data set, we get their sum and halve it to get the median.

First, arrange the values of the data set in ascending order

$3$ $3$ $3$ $5$ $5$ $5$ $5$ $5$ $6$ $6$ $7$ $7$ $9$ $9$ $9$ $11$

We can see that the values $5$ and $6$ are the middle values of the data set.

To find the median, we add the two middle values and divide it by $2$

$\text(Median)$ $=$ $(5+6)/2$

$=$ $11/2$

$=$ $5.5$

$\text(Median)=5.5$
Question 13 of 18

13. Question
Find the median

$7.75$ $9.25$ $6.25$ $5.75$ $7.25$

$5.5$ $6$ $7$ $6.75$ $7$

$7$ $6.5$ $6.5$ $5.5$ $7$

$8$ $6$ $6.75$ $7.75$ $7.5$

$7$ $6$
- $\text(Median )=$ (6.875)
Correct

Excellent!

Incorrect

The median is the middle value of a data set.

If there are two middle values on a data set, we get their sum and halve it to get the median.

First, arrange the values of the data set in ascending order

$5.5$ $5.5$ $5.75$ $6$ $6$ $6$ $6.25$ $6.5$ $6.5$ $6.75$ $6.75$

$7$ $7$ $7$ $7$ $7$ $7.25$ $7.5$ $7.75$ $7.75$ $8$ $9.25$

We can see that the values $6.75$ and $7$ are the middle values of the data set.

To find the median, we add the two middle values and divide it by $2$

$\text(Median)$ $=$ $(6.75+7)/2$

$=$ $13.75/2$

$=$ $6.875$

$\text(Median)=6.875$
Question 14 of 18

14. Question
Find the range

$8$ $9$ $6$ $4$ $8$ $2$ $5$
- $\text(Range )=$ (7)
Hint

Help Video

Correct

Well Done!

Incorrect

Help Video

Range Formula

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

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.

$\text(Highest Score)$ $=$ $9$

$\text(Lowest Score)$ $=$ $2$

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

$\text(Range)$ $=$ $\text(Highest Score)$ $-$ $\text(Lowest Score)$ Finding the range

$=$ $9$ $-$ $2$ Substitute values

$=$ $7$ Evaluate

$\text(Range)=7$
Question 15 of 18

15. Question
Find the range

$4$ $3$ $-5$ $7$ $8$ $6$
- $\text(Range )=$ (13)
Hint

Help Video

Correct

Correct!

Incorrect

Help Video

Range Formula

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

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.

$\text(Highest Score)$ $=$ $8$

$\text(Lowest Score)$ $=$ $-5$

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

$\text(Range)$ $=$ $\text(Highest Score)$ $-$ $\text(Lowest Score)$ Finding the range

$=$ $8$ $-($ $-5$ $)$ Substitute values

$=$ $13$ Evaluate

$\text(Range)=13$
Question 16 of 18

16. Question
Find the range

$2$ $4$ $4$ $6$ $6$

$7$ $11$ $12$ $15$ $16$
- $\text(Range )=$ (14)
Correct

Fantastic!

Incorrect

Range Formula

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

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.

$\text(Highest Score)$ $=$ $16$

$\text(Lowest Score)$ $=$ $2$

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

$\text(Range)$ $=$ $\text(Highest Score)$ $-$ $\text(Lowest Score)$ Finding the range

$=$ $16$ $-$ $2$ Substitute values

$=$ $14$ Evaluate

$\text(Range)=14$
Question 17 of 18

17. Question
Find the range

$36$ $27$ $30.1$ $35.7$ $32.1$

$47.3$ $28.3$ $25.3$ $36$ $43.9$

$39.7$ $26.3$ $25.1$ $19$ $27.4$

$36.1$
- $\text(Range )=$ (28.3)
Correct

Nice Job!

Incorrect

Range Formula

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

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.

$\text(Highest Score)$ $=$ $47.3$

$\text(Lowest Score)$ $=$ $19$

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

$\text(Range)$ $=$ $\text(Highest Score)$ $-$ $\text(Lowest Score)$ Finding the range

$=$ $47.3$ $-$ $19$ Substitute values

$=$ $28.3$ Evaluate

$\text(Range)=28.3$
Question 18 of 18

18. Question
Find the range

$41.9$ $32.3$ $33.7$ $19.6$ $37.8$

$24.7$ $42$ $27.8$ $35.7$ $34.5$

$29.1$ $36.2$ $40.9$ $24.2$ $45.8$

$31.8$ $32.3$ $26.5$ $25.9$ $22.9$

$33.3$
- $\text(Range )=$ (26.2)
Correct

Exceptional!

Incorrect

Range Formula

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

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.

$\text(Highest Score)$ $=$ $45.8$

$\text(Lowest Score)$ $=$ $19.6$

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

$\text(Range)$ $=$ $\text(Highest Score)$ $-$ $\text(Lowest Score)$ Finding the range

$=$ $45.8$ $-$ $19.6$ Substitute values

$=$ $26.2$ Evaluate

$\text(Range)=26.2$

$70$	$69$	$70$	$68$	$69$	$65$	$71$	$69$	$69$
$71$	$66$	$70$	$68$	$73$	$71$	$68$	$71$

$7.75$	$9.25$	$6.25$	$5.75$	$7.25$
$5.5$	$6$	$7$	$6.75$	$7$
$7$	$6.5$	$6.5$	$5.5$	$7$
$8$	$6$	$6.75$	$7.75$	$7.5$
$7$	$6$

$\text(Range)$	$=$	$\text(Highest Score)$ $-$ $\text(Lowest Score)$	Finding the range
	$=$	$9$ $-$ $2$	Substitute values
	$=$	$7$	Evaluate

$36$	$27$	$30.1$	$35.7$	$32.1$
$47.3$	$28.3$	$25.3$	$36$	$43.9$
$39.7$	$26.3$	$25.1$	$19$	$27.4$
$36.1$

$41.9$	$32.3$	$33.7$	$19.6$	$37.8$
$24.7$	$42$	$27.8$	$35.7$	$34.5$
$29.1$	$36.2$	$40.9$	$24.2$	$45.8$
$31.8$	$32.3$	$26.5$	$25.9$	$22.9$
$33.3$

$\text(Highest Score)$	$=$	$45.8$
$\text(Lowest Score)$	$=$	$19.6$

$\text(Median)$	$=$	$(6.75+7)/2$

	$=$	$13.75/2$

	$=$	$6.875$

Mean, Mode, Median and Range

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Quiz summary

Information

1. Question

Hint

Well Done!

Mean Formula

Remember

2. Question

Nice Job!

Mean Formula

Remember

3. Question

Excellent!

Mean Formula

Remember

4. Question

Great Work!

Mean Formula

Remember

5. Question

Hint

Correct!

6. Question

Keep Going!

7. Question

Fantastic!

8. Question

Excellent!

9. Question

Hint

Nice Job!

10. Question

Hint

Well Done!

11. Question

Keep Going!

12. Question

Great Work!

13. Question

Excellent!

14. Question

Hint

Well Done!

Range Formula

Remember

15. Question

Hint

Correct!

Range Formula

Remember

16. Question

Fantastic!

Range Formula

Remember

17. Question

Nice Job!

Range Formula

Remember

18. Question

Exceptional!

Range Formula

Remember

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