Find Mean, Mode, Median and Range 3

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Question 1 of 8

1. Question
Find the range

$7$ $9$ $12$ $14$ $4$

$7$ $2$ $13$ $18$ $6$
- $\text(Range )=$ (16)
Correct

Keep Going!

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.

$\text(Highest Score)$ $=$ $18$

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

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

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

$=$ $18$ $-$ $2$ Substitute values

$=$ $16$ Evaluate

$\text(Range)=16$
Question 2 of 8

2. Question
Find the range

$11$ $12$ $19$ $2$ $3$

$27$ $8$ $13$
- $\text(Range )=$ (25)
Correct

Keep Going!

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.

$\text(Highest Score)$ $=$ $27$

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

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

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

$=$ $27$ $-$ $2$ Substitute values

$=$ $25$ Evaluate

$\text(Range)=25$

Question 3 of 8

Find the mean

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

Round your answer to two decimal places

$\text(Mean )=$ (48.81)

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.

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

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

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

	$=$	$48.81$	Rounded to two decimal places

$\text(Mean)=48.81$

Question 4 of 8

4. Question
Find the range

$5$ $8$ $2$ $4$ $21$

$4$ $18$ $8$ $15$ $9$
- $\text(Range )=$ (19)
Correct

Keep Going!

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.

$\text(Highest Score)$ $=$ $21$

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

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

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

$=$ $21$ $-$ $2$ Substitute values

$=$ $19$ Evaluate

$\text(Range)=19$
Question 5 of 8

5. Question
Find the range

Score $(x)$ Frequency $(f)$

6 3

7 4

8 4

9 8

10 3

11 7

12 5
- $\text(Range )=$ (6)
Correct

Keep Going!

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.

Score $(x)$ Frequency $(f)$

6 3

7 4

8 4

9 8

10 3

11 7

12 5

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

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

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

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

$=$ $12$ $-$ $6$ Substitute values

$=$ $6$ Evaluate

$\text(Range)=6$

Score $(x)$	Frequency $(f)$
6	3
7	4
8	4
9	8
10	3
11	7
12	5

Score $(x)$	Frequency $(f)$
6	3
7	4
8	4
9	8
10	3
11	7
12	5

Question 6 of 8

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 7 of 8

7. Question
Find the range

Score $(x)$ Frequency $(f)$

1 2

2 7

3 4

4 8

5 7

6 5

7 1
- $\text(Range )=$ (6)
Correct

Keep Going!

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.

Score $(x)$ Frequency $(f)$

1 2

2 7

3 4

4 8

5 7

6 5

7 1

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

$\text(Lowest Score)$ $=$ $1$

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

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

$=$ $7$ $-$ $1$ Substitute values

$=$ $6$ Evaluate

$\text(Range)=6$
Question 8 of 8

8. 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 $2$

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

$=$ $13.75/2$

$=$ $6.875$

$\text(Median)=6.875$

Find Mean, Mode, Median and Range 3

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Quiz summary

Information

1. Question

Keep Going!

Range Formula

Remember

2. Question

Keep Going!

Range Formula

Remember

3. Question

Great Work!

Mean Formula

Remember

4. Question

Keep Going!

Range Formula

Remember

5. Question

Keep Going!

Range Formula

Remember

6. Question

Excellent!

7. Question

Keep Going!

Range Formula

Remember

8. Question

Excellent!

Quizzes

$\text(Range)$	$=$	$\text(Highest Score)$ $-$ $\text(Lowest Score)$	Finding the range
	$=$	$18$ $-$ $2$	Substitute values
	$=$	$16$	Evaluate

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

$7$	$9$	$12$	$14$	$4$
$7$	$2$	$13$	$18$	$6$

$\text(Highest Score)$	$=$	$18$
$\text(Lowest Score)$	$=$	$2$

$11$	$12$	$19$	$2$	$3$
$27$	$8$	$13$

$\text(Highest Score)$	$=$	$27$
$\text(Lowest Score)$	$=$	$2$