Data and charts · Ages 10–11

Dot plots worksheet

Part of: Mode, median and range

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Data and charts · Ages 10–11

Numsprite
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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.The dot plot shows how many brothers and sisters some friends each have; each dot is 1 person. How many have 4?
Answer:
2.The dot plot shows how many books some friends each read last week; each dot is 1 person. How many people are there?
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3.The dot plot shows how many brothers and sisters some friends each have; each dot is 1 person. How many have 0?
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4.The dot plot shows how many brothers and sisters some friends each have; each dot is 1 person. How many have 5?
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5.The dot plot shows how many brothers and sisters some friends each have; each dot is 1 person. How many have 3?
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6.The dot plot shows how many times some friends went swimming in a month; each dot is 1 person. What is the range?
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7.The dot plot shows a football team's goals in each match; each dot is 1 match. What is the mode of the goals?
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8.The dot plot shows how many bicycles some families each have; each dot is 1 family. What is the median number of bicycles?
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13.The dot plot shows how many people step out each time the lift stops at the lobby; each dot is 1 stop. The mode is people and the range is people.
Fill in each blank
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14.The dot plot shows a basketball team's three-pointers in each match; each dot is 1 match. How many three-pointers did they score in these matches altogether?
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15.The dot plot shows how many times each of a group of friends took the Star Ferry across the harbour last week; each dot is 1 person. What is the median?
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16.The dot plot shows a football team's goals in each match last season; each dot is 1 match. In how many matches did they score more than 1?
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17.The dot plot shows a football team's goals in each match last season; each dot is 1 match. In how many matches did they score more than 4?
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18.The dot plot shows a football team's goals in each match last season; each dot is 1 match. In how many matches did they score more than 2?
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Show the answers and working

Dot plots worksheet: Answers and working

1. 5
Find the column over 4 and count its dots.
Count the dots over 4: 5 dots, so 5 people.
2. 9
Each dot is one person. Add up the dots in every column.
A dot is one value: add up all the columns, 9 dots, so 9 people.
3. 2
Find the column over 0 and count its dots.
Count the dots over 0: 2 dots, so 2 people.
4. 1
Find the column over 5 and count its dots.
Count the dots over 5: 1 dots, so 1 people.
5. 4
Find the column over 3 and count its dots.
Count the dots over 3: 4 dots, so 4 people.
6. 6
Find the largest and smallest values that have dots; values with no dots don't count.
The largest value with a dot is 10, the smallest 4: 10 − 4 = 6. Values with no dots don't count.
7. 3
Find the tallest column. The mode is the value under it, not the number of dots.
The tallest column, 6 dots, is over 3: the mode is 3 (the value, not the dots).
8. 4
Count all the dots first, work out which one is in the middle, then count from the left.
13 dots in all; the middle one is the 7th. Counting from the left, the 7th dot sits over 4.

9. B
In each plot, check every column's dots against 4, 3, 1, 5, 2.
Each value needs as many dots as people: 4 over 0, 3 over 1… check each column.
10. A
In each plot, check every column's dots against 2, 4, 2, 4, 1.
Each value needs as many dots as people: 2 over 0, 4 over 1… check each column.
11. C
In each plot, check every column's dots against 5, 0, 4, 4, 5.
Each value needs as many dots as people: 5 over 0, 0 over 1… check each column.
12. D
In each plot, check every column's dots against 1, 0, 1, 1, 3.
Each value needs as many dots as people: 1 over 0, 0 over 1… check each column.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 2, 5
For the mode, read the value under the tallest column; for the range, use the largest and smallest values with dots.
The tallest column is over 2; the values with dots run from smallest to largest across 5.
14. 34 three-pointers
Each column's three-pointers = value × dots. Do each column, then add them up.
Each column is value × dots: 0 × 0 + 1 × 2 + 2 × 4 + 3 × 3 + 4 × 0 + 5 × 3 = 34.
15. 2 times
Count all the dots first, work out which one is in the middle, then count from the left.
13 people; the middle is the 7th dot. Counting from the left, it sits over 2.
16. 11 matches
“More than 1” doesn't include 1. Add the dots in the columns to the right of 1.
More than 1 means the columns right of 1, not 1 itself: their dots add up to 11.
17. 4 matches
“More than 4” doesn't include 4. Add the dots in the columns to the right of 4.
More than 4 means the columns right of 4, not 4 itself: their dots add up to 4.
18. 7 matches
“More than 2” doesn't include 2. Add the dots in the columns to the right of 2.
More than 2 means the columns right of 2, not 2 itself: their dots add up to 7.

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