Interpret Frequency Tables

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Question 1 of 11

1. Question
Complete the frequency distribution table and find the mode.

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

8 2

9 3

10 7

11 4

12 8

13 2

14 1
- $\text(Mode )=$ (12)
Hint

Help Video

Correct

Well Done!

Incorrect

Help Video

The mode is the value that appears most often in a set of data.

Notice that the highest value in the Frequency column is $8$ and it corresponds to $12$ .

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

8 2

9 3

10 7

11 4

12 8

13 2

14 1

In other words, the score $12$ occurs the most frequently, and is therefore the mode.

$\text(Mode)=12$
Question 2 of 11

2. Question
Find the mode of the frequency distribution table.

Goals in a Hockey Game

Goals $(x)$ Frequency $(f)$

3 4

5 5

6 1

7 5

10 1
- $\text(Mode )=$ (5, 7) and (7, 5)
Correct

Nice Job!

Incorrect

The mode is the value that appears most often in a set of data.

Notice that the highest value in the Frequency column is $5$ and it corresponds to both $5$ and $7$ .

Goals $(x)$ Frequency $(f)$

3 4

5 5

6 1

7 5

10 1

In other words, the scores $5$ and $7$ occurs the most frequently, and are therefore the modes.

$\text(Mode)=5$ and $7$
Question 3 of 11

3. Question
Find the mode of the frequency distribution table.

Adult Male Heights

Inches $(x)$ Frequency $(f)$
65 1

70 3

71 4

75 1
- $\text(Mode )=$ (71)
Correct

Excellent!

Incorrect

The mode is the value that appears most often in a set of data.

Notice that the highest value in the Frequency column is $4$ and it corresponds to $71$ .

Inches $(x)$ Frequency $(f)$

65 1

70 3

71 4

75 1

In other words, the score $71$ occurs the most frequently, and is therefore the mode.

$\text(Mode)=71$
Question 4 of 11

4. Question
Find the mode of the frequency distribution table.

Shoe Size

Size $(x)$ Frequency $(f)$

7 1

7.5 2

8 2

8.5 1

9 4

10 2

11 3
- $\text(Mode )=$ (9)
Correct

Fantastic!

Incorrect

The mode is the value that appears most often in a set of data.

Notice that the highest value in the Frequency column is $4$ and it corresponds to $9$ .

Size $(x)$ Frequency $(f)$

7 1

7.5 2

8 2

8.5 1

9 4

10 2

11 3

In other words, the score $9$ occurs the most frequently, and is therefore the mode.

$\text(Mode)=9$

Goals in a Hockey Game
Goals $(x)$	Frequency $(f)$
3	4
5	5
6	1
7	5
10	1

Goals $(x)$	Frequency $(f)$
3	4
5	5
6	1
7	5
10	1

Adult Male Heights
Inches $(x)$	Frequency $(f)$
65	1
70	3
71	4
75	1

Inches $(x)$	Frequency $(f)$
65	1
70	3
71	4
75	1

Shoe Size
Size $(x)$	Frequency $(f)$
7	1
7.5	2
8	2
8.5	1
9	4
10	2
11	3

Size $(x)$	Frequency $(f)$
7	1
7.5	2
8	2
8.5	1
9	4
10	2
11	3

Question 5 of 11

Find the mean of the following frequency distribution table.

Score $(x)$	Tally	Frequency $(f)$
0		6
1		10
2		6
3		4
4		3
5		0
6		1
		$\text(Total) =30$

Round your answer to two decimal places.

$\text(Mean )=$ (1.73)

Incorrect

Help Video

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

Add an $f⋅x$ column to the table. Fill it in by multiplying $x$ and $f$ on each row.

Score $(x)$	Frequency $(f)$	$f⋅x$
0	6	0
1	10	10
2	6	12
3	4	12
4	3	12
5	0	0
6	1	6
	$\text(Total) =30$

Find the sum of the $f⋅x$ column.

$sum f⋅x$	$=$	$0+10+12+12+12+0+6$
	$=$	$52$

Score $(x)$	Frequency $(f)$	$f⋅x$
0	6	0
1	10	10
2	6	12
3	4	12
4	3	12
5	0	0
6	1	6
	$\text(Total) =30$	$\text(Total) =52$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{52}}{\color{#9202AA}{30}}$	Substitute values

$\text(Mean)$	$=$	$1.73$	Rounded to two decimal places

$\text(Mean)=1.73$

Question 6 of 11

Complete the frequency distribution table and find the mean.

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

Round your answer to two decimal places.

$\text(Mean )=$ (3.45)

Incorrect

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

To complete the table, fill in the $f⋅x$ column by multiplying $x$ and $f$ on each row.

Score $(x)$	Frequency $(f)$	$f⋅x$
1	1	1
2	3	6
3	6	18
4	7	28
5	2	10
6	1	6

Find the sum of both the Frequency and $f.x$ columns.

$sum f$	$=$	$1+3+6+7+2+1$
	$=$	$20$

$sum f⋅x$	$=$	$1+6+18+28+10+6$
	$=$	$69$

Score $(x)$	Frequency $(f)$	$f⋅x$
1	1	1
2	3	6
3	6	18
4	7	28
5	2	10
6	1	6
	$\text(Total) =20$	$\text(Total) =69$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{69}}{\color{#9202AA}{20}}$	Substitute values

$\text(Mean)$	$=$	$3.45$	Rounded to two decimal places

$\text(Mean)=3.45$

Question 7 of 11

Complete the frequency distribution table and find the mean.

Score $(x)$	Frequency $(f)$	$f⋅x$
8	2
9	3
10	7
11	4
12	8
13	2
14	1

Round your answer to two decimal places.

$\text(Mean )=$ (10.85)

Incorrect

Help Video

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

To complete the table, fill in the $f⋅x$ column by multiplying $x$ and $f$ on each row.

Score $(x)$	Frequency $(f)$	$f⋅x$
8	2	16
9	3	27
10	7	70
11	4	44
12	8	96
13	2	26
14	1	14

Find the sum of both the Frequency and $f⋅x$ columns.

$sum f$	$=$	$2+3+7+4+8+2+1$
	$=$	$27$

$sum f⋅x$	$=$	$16+27+70+44+96+26+14$
	$=$	$293$

Score $(x)$	Frequency $(f)$	$f⋅x$
8	2	16
9	3	27
10	7	70
11	4	44
12	8	96
13	2	26
14	1	14
	$\text(Total) =27$	$\text(Total) =293$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{293}}{\color{#9202AA}{27}}$	Substitute values

$\text(Mean)$	$=$	$10.85$	Rounded to two decimal places

$\text(Mean)=10.85$

Question 8 of 11

Find the mean of the following frequency distribution table.

Score $(x)$	Frequency $(f)$
32	2
41	1
44	4
45	1
49	2
51	1
52	2
53	1
55	2
56	1

Round your answer to two decimal places.

$\text(Mean )=$ (46.94)

Incorrect

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

Add an $f.x$ column to the table. Fill it in by multiplying $x$ and $f$ on each row.

Score $(x)$	Frequency $(f)$	$f⋅x$
32	2	64
41	1	41
44	4	176
45	1	45
49	2	98
51	1	51
52	2	104
53	1	53
55	2	110
56	1	56

Find the sum of both the Frequency and $f.x$ columns.

$sum f$	$=$	$2+1+4+1+2+1+2+1+2+1$
	$=$	$17$

$sum f.x$	$=$	$64+41+176+45+98+51+104+53+110+56$
	$=$	$798$

Score $(x)$	Frequency $(f)$	$f⋅x$
32	2	64
41	1	41
44	4	176
45	1	45
49	2	98
51	1	51
52	2	104
53	1	53
55	2	110
56	1	56
	$\text(Total) =17$	$\text(Total) =798$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{798}}{\color{#9202AA}{17}}$	Substitute values

$\text(Mean)$	$=$	$46.94$	Rounded to two decimal places

$\text(Mean)=46.94$

Question 9 of 11

Find the mean of the following frequency distribution table.

Score $(x)$	Frequency $(f)$
3	2
5	3
6	4
7	1
10	1
12	1
15	2
18	1

Round your answer to two decimal places.

$\text(Mean )=$ (8.13)

Incorrect

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

Add an $f.x$ column to the table. Fill it in by multiplying $x$ and $f$ on each row.

Score $(x)$	Frequency $(f)$	$f⋅x$
3	2	6
5	3	15
6	4	24
7	1	7
10	1	10
12	1	12
15	2	30
18	1	18

Find the sum of both the Frequency and $f.x$ columns.

$sum f$	$=$	$2+3+4+1+1+1+2+1$
	$=$	$15$

$sum f.x$	$=$	$6+15+24+7+10+12+30+18$
	$=$	$122$

Score $(x)$	Frequency $(f)$	$f⋅x$
3	2	6
5	3	15
6	4	24
7	1	7
10	1	10
12	1	12
15	2	30
18	1	18
	$\text(Total) =15$	$\text(Total) =122$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{122}}{\color{#9202AA}{15}}$	Substitute values

$\text(Mean)$	$=$	$8.13$	Rounded to two decimal places

$\text(Mean)=8.13$

Question 10 of 11

Find the mean of the following frequency distribution table.

Score $(x)$	Frequency $(f)$	$f⋅x$
2	2	4
4	4	16
5	2	10
7	1	7
8	1	8

$\text(Mean )=$ (4.5)

Incorrect

Mean Formula

$\text{Mean}=\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$

A frequency distribution table displays how many times a particular score has occurred in a set of data.

Find the sum of both the Frequency and $f.x$ columns.

$sum f$	$=$	$2+4+2+1+1$
	$=$	$10$

$sum f⋅x$	$=$	$4+16+10+7+8$
	$=$	$45$

Score $(x)$	Frequency $(f)$	$f⋅x$
2	2	4
4	4	16
5	2	10
7	1	7
8	1	8
	$\text(Total) =10$	$\text(Total) =45$

Use the formula to compute for the mean.

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{\sum f⋅x}}{\color{#9202AA}{\sum f}}$	Mean Formula

$\text(Mean)$	$=$	$\frac{\color{#314EC4}{45}}{\color{#9202AA}{10}}$	Substitute values

$\text(Mean)$	$=$	$4.5$	Rounded to two decimal places

$\text(Mean)=4.5$

Question 11 of 11

Complete the frequency distribution table and find the median.

Score $(x)$	Frequency $(f)$
8	2
9	3
10	7
11	4
12	8
13	2
14	1

$\text(Median )=$ (11)

$27xx1/2$	$=$	$13.5$

	$=$	$14$	Round up

Score $(x)$	Frequency $(f)$
8	2	The $1$ st and $2$ nd score is $8$
9	2+3=5	The $3$ rd to $5$ th score is $9$
10	5+7=12	The $6$ th to $12$ th score is $10$
11	12+4=16	The $13$ th to $16$ th score is $11$
12	8
13	2
14	1
	$\text(Total)=27$

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Quiz summary

Information

1. Question

Hint

Well Done!

2. Question

Nice Job!

3. Question

Excellent!

4. Question

Fantastic!

5. Question

Hint

Keep Going!

Mean Formula

6. Question

Hint

Correct!

Mean Formula

7. Question

Hint

Great Work!

Mean Formula

8. Question

Excellent!

Mean Formula

9. Question

Correct!

Mean Formula

10. Question

Well Done!

Mean Formula

11. Question

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