Statistical Charts and Diagrams (Copy)

Q1 (Non-Calculator)
The number of books read by 5 students is: 2, 5, 3, 4, 6.
Draw a bar chart for this data.

Solution:

• X-axis: Number of books (2, 3, 4, 5, 6)
• Y-axis: Number of students (frequency, all 1 student each)
• Each bar should have height 1.

Answer:
Each bar from 2 to 6 has height 1.

Q2 (Non-Calculator)
A survey shows 60 students’ favorite subjects:

• Math: 24
• English: 18
• Science: 18

Draw a pie chart: find the angles.

Solution:

• Total students = 60
• Math angle = (24/60) × 360 = 144°
• English angle = (18/60) × 360 = 108°
• Science angle = (18/60) × 360 = 108°

Answer:
Math 144°, English 108°, Science 108° sectors

Q3 (Non-Calculator)
In a pictogram, each ⚽ represents 5 goals.
A team scored 12 goals. How many ⚽ symbols are drawn?

Solution:
12 ÷ 5 = 2 full ⚽ + 2 extra goals → draw 2 full ⚽ and a partial ⚽ for 2 goals.

Answer:
2 full ⚽ and a partial ⚽ for 2 goals

Q4 (Non-Calculator)
The scores of 8 students are: 21, 23, 24, 25, 25, 26, 27, 28.
Draw a stem-and-leaf diagram.

Solution:

Key: 2 | 1 means 21

Answer:
Diagram as above.

Q5 (Non-Calculator)
Use a simple frequency table to record the following marks: 3, 5, 5, 6, 7, 3, 5, 7.

Solution:

Answer:
Completed table as above.

Q6 (Calculator)
In a dual bar chart comparing boys and girls:

• 10 boys and 8 girls like football
• 6 boys and 12 girls like basketball
  Which sport is more popular overall?

Solution:
Football total = 10 + 8 = 18
Basketball total = 6 + 12 = 18

Answer:
Same popularity: 18 each

Q7 (Calculator)
In a stacked bar chart, the bar shows 4 categories:

• A = 15
• B = 10
• C = 5
• D = 20
  Find the total value represented.

Solution:
Total = 15 + 10 + 5 + 20 = 50

Answer:
50

Q8 (Calculator)
A pictogram shows each 🍎 represents 4 apples.
If a chart shows 6 🍎 symbols, how many apples does it represent?

Solution:
6 × 4 = 24 apples

Answer:
24 apples

Q9 (Calculator)
A stem-and-leaf diagram has the stem 3 and leaves 2, 5, 7.
What are the data values?

Solution:
32, 35, 37

Answer:
32, 35, 37

Q10 (Calculator)
The table below shows favorite pets:

How many students were surveyed?

Solution:
Total = 12 + 8 + 5 = 25

Answer:
25 students