Question

40 people were asked what their favourite fruit is.
draw the symbols to complete the pictogram.

favourite fruit
apple: two full circle symbols with a cross inside
orange: one full circle symbol with a cross inside, and one three-quarter circle symbol
banana: empty box

key:
one full circle symbol with a cross inside = 8 people

Explanation:

🆕 New Concept Discovered: Pictograms and Keys
Representing data values using proportional symbols

Step 1: Calculate the number of people who chose Apple

The key shows that one full circle symbol represents \( 8 \) people.

For Apple, there are \( 2 \) full circles:

$$ 2 \times 8 = 16 \text{ people} $$

Step 2: Calculate the number of people who chose Orange

For Orange, there is \( 1 \) full circle and \( 1 \) three-quarter circle.

Since a full circle represents \( 8 \) people, each quarter of the circle represents:

$$ \frac{8}{4} = 2 \text{ people} $$

The three-quarter circle has \( 3 \) quarters, which represents:

$$ 3 \times 2 = 6 \text{ people} $$

Adding them together for Orange:

$$ 8 + 6 = 14 \text{ people} $$

Step 3: Find the number of people who chose Banana

The total number of people surveyed is \( 40 \). Subtract the people who chose Apple and Orange to find the remaining number for Banana:

$$ 40 - 16 - 14 = 10 \text{ people} $$

Step 4: Determine the symbols needed for Banana

We need to represent \( 10 \) people using the circle symbols where each full circle is \( 8 \) people and each quarter is \( 2 \) people.

• \( 1 \) full circle = \( 8 \) people
• Remaining needed: \( 10 - 8 = 2 \) people
• \( 2 \) people = \( 1 \) quarter of a circle

Therefore, Banana requires \( 1 \) full circle and \( 1 \) quarter circle.

Answer:

To complete the pictogram for Banana, you need to draw:

• 1 full circle
• 1 quarter circle (one-fourth of the circle symbol)