Free Collection Of Dot Plot Worksheets For Teaching - Free Printable

Let's solve each part of the worksheet step by step.

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Question 1: Geography Test Marks

Data:
10, 12, 9, 11, 14, 12, 10, 15, 11, 10, 7

#### a) Complete the dot plot

We need to create a dot plot where each mark is represented by a dot above its value on the number line.

List all the marks and count their frequency:

| Mark | Frequency |
|------|-----------|
| 7 | 1 |
| 9 | 1 |
| 10 | 3 |
| 11 | 2 |
| 12 | 2 |
| 14 | 1 |
| 15 | 1 |

Now place dots accordingly on the dot plot (from 7 to 15):

- 7 → 1 dot
- 8 → 0 dots
- 9 → 1 dot
- 10 → 3 dots
- 11 → 2 dots
- 12 → 2 dots
- 13 → 0 dots
- 14 → 1 dot
- 15 → 1 dot

✔ So the dot plot should have:
- One dot at 7
- One dot at 9
- Three dots at 10
- Two dots at 11
- Two dots at 12
- One dot at 14
- One dot at 15

(You would draw this on the grid provided.)

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#### b) What is the range of marks in the test?

The range = Highest value – Lowest value
= 15 – 7 = 8

✔ Answer: 8

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#### c) What is the median score?

To find the median, we first arrange the data in ascending order:

7, 9, 10, 10, 10, 11, 11, 12, 12, 14, 15

There are 11 values (odd), so the median is the 6th value.

Counting:
1. 7
2. 9
3. 10
4. 10
5. 10
6. 11 ← median
7. 11
8. 12
9. 12
10. 14
11. 15

✔ Answer: 11

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Question 2: Number of Children in Families

Data:
2, 1, 3, 2, 1, 2, 3, 4, 2, 5, 1, 2, 4, 1, 6

#### a) Draw a box plot

First, sort the data in ascending order:

1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6

There are 15 values.

Now calculate the five-number summary for the box plot:

- Minimum = 1
- Maximum = 6
- Median (Q2) = 8th value → since 15 values, median is the 8th one → 2
- Lower Quartile (Q1) = Median of first half (first 7 values):
First half: 1, 1, 1, 1, 2, 2, 2 → median = 1
- Upper Quartile (Q3) = Median of second half (last 7 values):
Second half: 2, 3, 3, 4, 4, 5, 6 → median = 4

So the five-number summary is:
- Min = 1
- Q1 = 1
- Median = 2
- Q3 = 4
- Max = 6

Now draw the box plot:
- Draw a number line from 1 to 6
- Mark Q1 (1), Median (2), Q3 (4)
- Draw a box from Q1 to Q3
- Draw a line inside the box at the median
- Draw "whiskers" from box to min (1) and max (6)

✔ This completes the box plot.

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#### b) What is the median number of children per family?

From above, the median is the 8th value in ordered list:

1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6 → 2

✔ Answer: 2

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#### c) What is the range of children per family?

Range = Maximum – Minimum = 6 – 1 = 5

✔ Answer: 5

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✔ Final Answers:

#### Question 1:
a) Dot plot completed with correct frequencies (as explained)
b) Range = 8
c) Median = 11

#### Question 2:
a) Box plot drawn using: Min=1, Q1=1, Median=2, Q3=4, Max=6
b) Median = 2
c) Range = 5

Let me know if you'd like a visual representation or help drawing the plots!