Find Mean, Mode, Median and Range 2

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Question 1 of 6

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 2 of 6

2. Question
Find the mode

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

$2$ $2$ $3$ $3$ $3$ $3$ $4$ $4$ $4$ $4$
- $Mode =$ $\text(Mode )=$ (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 3 of 6

3. Question
Find the median

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

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

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 4 of 6

4. 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 5 of 6

5. Question
Find the range

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

6. 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

$\text(Range)=28.3$

Find Mean, Mode, Median and Range 2

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Quiz summary

Information

1. Question

Nice Job!

Mean Formula

Remember

2. Question

Keep Going!

3. Question

Hint

Well Done!

4. Question

Great Work!

5. Question

Hint

Correct!

Range Formula

Remember

6. Question

Nice Job!

Range Formula

Remember

Quizzes

$1$ $1$	$1$ $1$	$2$ $2$	$2$ $2$	$2$ $2$	$2$ $2$
$2$ $2$	$3$ $3$	$3$ $3$	$4$ $4$	$4$ $4$

$\text(Range)$	$=$	$\text(Highest Score)$ $-$ $\text(Lowest Score)$	Finding the range
	$=$	$8$ $-($ $-5$ $)$	Substitute values
	$=$	$13$	Evaluate

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

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

	$=$	$11/2$

	$=$	$5.5$

$\text(Highest Score)$	$=$	$8$
$\text(Lowest Score)$	$=$	$-5$

$\text(Highest Score)$	$=$	$47.3$
$\text(Lowest Score)$	$=$	$19$