Data analysis worksheet - Free Printable

Let’s go step by step through each question using the pie charts for 1801 and 2001.

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Question 1: What has been the increase in percentage of the number of detached houses owned between 1801 and 2001?

First, find “detached (owned)” in both years.

- In 1801: Look at the key — “detached (owned)” is the wavy pattern. In the 1801 chart, that slice is labeled 3%.
- In 2001: Same pattern — it’s labeled 12.5%.

Now calculate the increase:
12.5% - 3% = 9.5%

✔ So the answer is a. 9.5%

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Question 2: In which year did more people own than rent terraced houses?

We need to compare “terraced (owned)” vs “terraced (rented)” in each year.

In 1801:
- Terraced (owned) = gray solid = 4.25%
- Terraced (rented) = light gray = 40.75%
→ Rent > Own → Not this year

In 2001:
- Terraced (owned) = gray solid = 20%
- Terraced (rented) = light gray = 17%
→ Own > Rent → ✔ This year!

So the answer is b. 2001

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Question 3: In which year did more people have rented apartments? What is the percentage difference?

“Rented apartments” = dotted pattern with dots (check key: “apartment (rented)” is the one with small dots on gray background).

In 1801: apartment (rented) = 12.5%
In 2001: apartment (rented) = 8.5%

Wait — hold on! Let me double-check the key.

Looking again:

Key says:
- “apartment (owned)” = black with white dots
- “apartment (rented)” = gray with small dots (like a stipple pattern)

In 1801 chart:
- The gray with small dots (apartment rented) = 12.5%
In 2001 chart:
- Same pattern = 8.5%

So actually, more people had rented apartments in 1801, not 2001.

Difference: 12.5% - 8.5% = 4%

So the correct choice is: c. 1801 - 4%

Wait — but let’s check the options again:

Options are:
a. 1801 - 16%
b. 2001 - 16%
c. 1801 - 4%
d. 2001 - 4%

Yes — we found 1801 had higher rented apartments (12.5% vs 8.5%), difference 4%.

✔ Answer: c. 1801 - 4%

*(Note: I initially misread the patterns — always match the key carefully!)*

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Question 4: In which type of housing has there been the greatest change?

We need to calculate the absolute change (difference) for each housing type from 1801 to 2001.

List all types with their % in 1801 and 2001:

1. detached (owned): 3% → 12.5% → change = +9.5%
2. semi-detached (owned): 3% → 25% → change = +22% ← big jump!
3. terraced (owned): 4.25% → 20% → change = +15.75%
4. apartment (owned): 8.5% → 4.25% → change = -4.25%
5. detached (rented): 8.5% → 4.25% → change = -4.25%
6. semi-detached (rented): 25% → 8.5% → change = -16.5%
7. terraced (rented): 40.75% → 17% → change = -23.75% ← biggest drop!
8. apartment (rented): 12.5% → 8.5% → change = -4%

Now look at absolute changes (ignore sign):

- detached (owned): 9.5
- semi-detached (owned): 22
- terraced (owned): 15.75
- apartment (owned): 4.25
- detached (rented): 4.25
- semi-detached (rented): 16.5
- terraced (rented): 23.75 ← LARGEST CHANGE
- apartment (rented): 4

So the greatest change is in terraced (rented) — dropped by 23.75 percentage points.

Check options:

f. terraced (rented) → YES

✔ Answer: f. terraced (rented)

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Final Answers:

1. a. 9.5%
2. b. 2001
3. c. 1801 - 4%
4. f. terraced (rented)