Find Mean, Mode, Median and Range 1

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Question 1 of 9

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)

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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.

$\color{#00880a}{{\small\sum} x}$	$=$ $=$	$7 + 3 + 5 + 8 + 4 + 6 + 3$ $7+3+5+8+4+6+3$
	$=$ $=$	$36$ $36$	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 9

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 3 of 9

3. Question
Find the mode

$3$ $3$ $5$ $5$ $3$ $3$ $8$ $8$ $4$ $4$ $6$ $6$ $3$ $3$
- $Mode =$ $\text(Mode )=$ (3)
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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 4 of 9

4. Question
Find the mode

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

$71$ $71$ $66$ $66$ $70$ $70$ $68$ $68$ $73$ $73$ $71$ $71$ $68$ $68$ $71$ $71$
- $Mode =$ $\text(Mode )=$ (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.

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

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

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

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

$Mode = 69$ $\text(Mode)=69$ and $71$ $71$
Question 5 of 9

5. Question
Find the median

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

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

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

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

$Median = 6$ $\text(Median)=6$
Question 6 of 9

6. Question
Find the median

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

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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

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

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

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

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

7. Question
Find the range

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

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

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

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

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

$=$ $=$ $7$ Evaluate

$\text(Range)=7$
Question 8 of 9

8. 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 9 of 9

9. 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

$\text(Range)=26.2$

Find Mean, Mode, Median and Range 1

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Quiz summary

Information

1. Question

Hint

Well Done!

Mean Formula

Remember

2. Question

Excellent!

Mean Formula

Remember

3. Question

Hint

Correct!

4. Question

Fantastic!

5. Question

Hint

Nice Job!

6. Question

Keep Going!

7. Question

Hint

Well Done!

Range Formula

Remember

8. Question

Fantastic!

Range Formula

Remember

9. Question

Exceptional!

Range Formula

Remember

Quizzes

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

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$9$ $9$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$2$ $2$

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

$\text(Range)$	$=$	$\text(Highest Score)$ $-$ $\text(Lowest Score)$	Finding the range
	$=$	$16$ $-$ $2$	Substitute values
	$=$	$14$	Evaluate

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

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