Find Mean, Mode, Median and Range 3

Question 1 of 8

Find the range

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

$Range =$ $\text(Range )=$ (16)

Incorrect

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.

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

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
	$=$ $=$	$18$ $18$ $-$ $-$ $2$ $2$	Substitute values
	$=$ $=$	$16$ $16$	Evaluate

Range = 16

$\text(Range)=16$

Question 2 of 8

Find the range

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

$Range =$ $\text(Range )=$ (25)

Incorrect

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.

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

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
	$=$ $=$	$27$ $27$ $-$ $-$ $2$ $2$	Substitute values
	$=$ $=$	$25$ $25$	Evaluate

Range = 25

$\text(Range)=25$

Question 3 of 8

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.

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

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 4 of 8

Find the range

$5$ $5$	$8$ $8$	$2$ $2$	$4$ $4$	$21$ $21$
$4$ $4$	$18$ $18$	$8$ $8$	$15$ $15$	$9$ $9$

$Range =$ $\text(Range )=$ (19)

Incorrect

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.

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$21$ $21$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$2$ $2$

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
	$=$ $=$	$21$ $21$ $-$ $-$ $2$ $2$	Substitute values
	$=$ $=$	$19$ $19$	Evaluate

Range = 19

$\text(Range)=19$

Question 5 of 8

Find the range

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

$Range =$ $\text(Range )=$ (6)

Incorrect

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.

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

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$12$ $12$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$6$ $6$

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

Range = 6

$\text(Range)=6$

Question 6 of 8

Find the mode

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

$Mode =$ $\text(Mode )=$ (47.8)

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.

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

We can see that the value $47.8$ $47.8$ occured twice, and is the most frequent value of the data set.

Therefore, the mode for this data set is

47.8

$47.8$

Mode = 47.8

$\text(Mode)=47.8$

Question 7 of 8

Find the range

Score $(x)$ $(x)$	Frequency $(f)$ $(f)$
1	2
2	7
3	4
4	8
5	7
6	5
7	1

$Range =$ $\text(Range )=$ (6)

Incorrect

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.

Score $(x)$ $(x)$	Frequency $(f)$ $(f)$
1	2
2	7
3	4
4	8
5	7
6	5
7	1

$Highest Score$ $\text(Highest Score)$	$=$ $=$	$7$ $7$
$Lowest Score$ $\text(Lowest Score)$	$=$ $=$	$1$ $1$

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
	$=$ $=$	$7$ $7$ $-$ $-$ $1$ $1$	Substitute values
	$=$ $=$	$6$ $6$	Evaluate

Range = 6

$\text(Range)=6$

Question 8 of 8

Find the median

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

$Median =$ $\text(Median )=$ (6.875)

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

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

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

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

2

$2$

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

	$=$ $=$	$\frac{13.75}{2}$ $13.75/2$

	$=$ $=$	$6.875$ $6.875$

Median = 6.875

$\text(Median)=6.875$

Find Mean, Mode, Median and Range 3

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Quiz summary

Information

1. Question

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Range Formula

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2. Question

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Range Formula

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3. Question

Great Work!

Mean Formula

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4. Question

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Range Formula

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5. Question

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Range Formula

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6. Question

Excellent!

7. Question

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Range Formula

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8. Question

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