Sample lesson
Interpreting frequency tables
Progress:
5
10
4
10
You should use a calculator for this lesson
The notes are hidden when you only need 1 or 2 correct answers to complete the lesson. Also you cannot see the worked solutions or have the easier questions.
The frequency table shows the scores obtained by the students in a class
when they played a game. Find the total number of points scored.
The frequency table shows the numbers of pets owned by the students
in a class. Find the total number of students.
The frequency table shows the numbers of emails sent by the workers
in a company. Find the total number of emails.
The frequency table shows the numbers of goals scored by a football team
in their matches last season. Find the total number of goals.
The frequency table shows the numbers of rooms in the houses
on an estate. Find the total number of houses.
The frequency table shows the numbers of emails sent by the 33 workers
in a company. How many workers sent 1 email?
The frequency table shows the scores obtained by the 27 students in a class
when they played a game. How many students scored 3 points?
The frequency table shows the numbers of goals scored by a football team
in their 28 matches last season. How many times did the team score 4 goals?
The frequency table shows the numbers of rooms in the 27 houses
on an estate. How many houses have 9 rooms?
The frequency table shows the numbers of pets owned by the 27 students
in a class. How many students have 5 pets?
The frequency table shows the scores obtained by the 32 students in a class
when they played a game. 6 students scored two points. How many points
were scored altogether by these 6 students?
The frequency table shows the numbers of goals scored by a football team
in their 38 matches last season. In 8 matches the team scored two goals.
How many goals did the team score altogether in these 8 matches?
The frequency table shows the numbers of rooms in the 58 houses
on an estate. 6 houses have nine rooms. How many rooms are there
altogether in these 6 houses?
The frequency table shows the numbers of emails sent by the 45 workers
in a company. 5 workers sent four emails. How many emails were sent
altogether by these 5 workers?
The frequency table shows the numbers of pets owned by the 32 students
in a class. 6 students have two pets. How many pets are owned altogether
by these 6 students?
Frequency
Number of emails
0
2
1
6
2
5
3
3
4
4
5
1
0
2
1
6
2
5
3
3
4
4
Number of emails
Frequency
Correct
This is not correct.
To find the total number of workers we add the frequencies.
10 + 12 + 4 + 0 + 2 = 28
We need to multiply each frequency by its
corresponding score.
8 × 0 = 0
9 × 1 = 9
5 × 2 = 10
3 × 3 = 9
2 × 4 = 8
0 + 9 + 10 + 9 + 8 = 36
This is not correct.
We need to multiply each frequency by its
corresponding number of goals.
7 × 0 = 0
11 × 1 = 11
7 × 2 = 14
4 × 3 = 12
1 × 4 = 4
2 × 5 = 10
0 + 11 + 14 + 12 + 4 + 10 = 51
You found the total number of games.
This is not correct.
We need to multiply each frequency by its
corresponding number of goals.
7 × 0 = 0
16 × 1 = 16
5 × 2 = 10
5 × 3 = 15
0 × 4 = 0
1 × 5 = 5
0 + 16 + 10 + 15 + 0 + 5 = 46
You needed to multiply each frequency by its corresponding
number of goals and then add these products together. You
just added the different numbers of goals.
This is not correct.
We need to multiply each frequency by its
corresponding score.
9 × 0 = 0
8 × 1 = 8
5 × 2 = 10
4 × 3 = 12
2 × 4 = 8
0 + 8 + 10 + 12 + 8 = 38
You added the different scores rather than the frequencies.
This is not correct.
We need to multiply each frequency by its
corresponding number of rooms.
8 × 6 = 48
14 × 7 = 98
15 × 8 = 120
12 × 9 = 108
5 × 10 = 50
3 × 11 = 33
48 + 98 + 120 + 108 + 50 + 33 = 457
You added the different numbers of rooms rather than the frequencies.
This is not correct.
We need to multiply each frequency by its
corresponding number of emails.
11 × 3 = 33
12 × 4 = 48
6 × 5 = 30
5 × 6 = 30
0 × 7 = 0
1 × 8 = 8
33 + 48 + 30 + 30 + 0 + 8 = 149
You just needed to add the frequencies - not the
different numbers of emails as well.
This is not correct.
7 students scored two points.
Total number of points = 7 × 2
= 14
This is not correct.
The frequency for 3 pets is 6, so 6 students have 3 pets.
This is not correct.
The frequency for 3 points is 5, so 5 students scored 3 points.
This is not correct.
The frequency for 4 emails is 8, so 8 workers sent 4 emails.
This is not correct.
The frequency for 9 rooms is 15, so 15 houses have 9 rooms.
This is not correct.
The frequency for 3 goals is 6, so the team scored 3 goals 6 times.
This is not correct.
The frequency for 2 goals is 1, so the team scored 2 goals once.