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10.08 Dot plots

Worksheet
Dot plots
1

A teacher made the following dot plot to display the number of cats and dogs owned by students in the class:

a

How many cats are owned by students?

b

How many more cats are there than dogs?

c

How many pets are there altogether?

2

Mr. Wong counted the different eye colours of his students in his karate class. He recorded them in the following dot plot:

a

Which eye colour is most common?

b

Which eye colour is least common?

c

How many more people have brown eyes than olive eyes?

3

The number of goals scored in each of Bob’s soccer games is shown on the following dot plot:

a

How many times were five goals scored?

b

State the number of goals that were scored equally and most often?

c

How many games were played in total?

4

Each student in the class was asked to write down the number of siblings they had. The teacher recorded the results in the following dot plot:

a

How many siblings do most students have?

b

Which number of siblings is the least frequent?

c

How many more students had 4 siblings than 1 sibling?

5

The goals scored by a football team in their matches are represented in the following dot plot:

Construct the frequency distribution table for this data.

6

Consider the following the dot plot:

a

Construct the frequency distribution table for this data.

b

How many students scored above 20?

c

How many students scored below 30?

7

The goals scored by a football team in their matches over a season are given in the following dot plot:

Construct the cumulative frequency table for this data.

8

Consider the following dot plot:

a

Construct a cumulative frequency table.

b

Find the number of students who scored above 20.

c

Find the number of students who scored below 30.

Compare dot plots
9

David and Eamon were taking part in a spelling bee. The dot plots below show how many letters were in each word that each boy correctly spelt:

Who spelled more words correctly?

10

The heart rates of the school football team and the school volleyball team were measured after running for five minutes on a treadmill:

\text{Heart rate}\text{Number of people} \\ \text{ in Volleyball team}\text{Number of people} \\ \text{ in Football team}
9021
9512
10013
10511
11021
11511
12032
a

Construct a dot plot for the heart rates of the football team.

b

Construct a dot plot for the heart rates of the volleyball team.

c

Which team do you think is the fitter overall?

11

Three runners from an athletics team recorded their 100-metre race times over the past year:

  • Ray: \ 11,\, 12,\, 13,\, 11,\, 12,\, 11,\, 14

  • Quentin: \ 14,\, 11,\, 12,\, 13,\, 14,\, 14,\, 12,\, 11,\, 12,\, 13

  • Ned: \ 13,\, 14,\, 12,\, 12,\, 14,\, 11,\, 14,\, 14

a

Construct a dot plot for Ray's times.

b

Construct a dot plot for Quentin's times.

c

Construct a dot plot for Ned's times.

d

Which boy is the fastest runner over 100 metres?

12

Sally and Mae are goal shooters for their netball teams. The table shows the number of goals they scored in each game of the season:

Game 1Game 2Game 3Game 4Game 5Game 6Game 7Game 8Game 9
Sally655533443
Mae231312322
a

Construct a dot plot for Sally's scores.

b

Construct a dot plot for Mae's scores.

13

Students from two different basketball teams at a school were asked how many times they eat takeaway food in a week. The results are displayed in the table below:

Team A020313131411
Team B042104322120
a

Construct a dot plot for Team A.

b

Construct a dot plot for Team B.

c

If the coach is only happy when students have an answer of 0 or 1, which team is the coach happiest with?

14

The duration of storms, recorded in hours, that were classified as Level 2 storms were recorded for the years 1997 and 2017. The results are shown in the dot plots below:

a

Did the duration of Level 2 storms increase since 1997?

b

If this trend continues, construct a dot plot that we might expect to see in 2027.

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Outcomes

MS11-2

represents information in symbolic, graphical and tabular form

MS11-7

develops and carries out simple statistical processes to answer questions posed

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