Interpreting Statistical Data (Copy)

Q1 (Non-Calculator)
A table shows the number of pets owned by students:

How many students were surveyed?

Solution:
Total students = 6 + 12 + 8 + 4 = 30

Answer:
30 students

Q2 (Non-Calculator)
From the table in Q1, what is the most common number of pets?

Solution:
The highest frequency is 12, corresponding to 1 pet.

Answer:
1 pet

Q3 (Non-Calculator)
The mean number of pets from the table in Q1 is calculated.
Find the total number of pets.

Solution:
Total pets = (0×6) + (1×12) + (2×8) + (3×4)
= 0 + 12 + 16 + 12
= 40

Answer:
40 pets

Q4 (Non-Calculator)
Find the mean number of pets from Q3.

Solution:
Mean = Total pets ÷ Total students
= 40 ÷ 30
≈ 1.33

Answer:
Approximately 1.33 pets

Q5 (Non-Calculator)
Compare the following sets of data using mean and range:

• Set A: 5, 7, 9, 11, 13
• Set B: 6, 6, 8, 10, 14

Find the mean of each set.

Solution:
Set A mean = (5 + 7 + 9 + 11 + 13) ÷ 5 = 45 ÷ 5 = 9
Set B mean = (6 + 6 + 8 + 10 + 14) ÷ 5 = 44 ÷ 5 = 8.8

Answer:
Set A mean = 9, Set B mean = 8.8

Q6 (Non-Calculator)
Find the range of Set A and Set B.

Solution:
Set A range = 13 – 5 = 8
Set B range = 14 – 6 = 8

Answer:
Both sets have a range of 8

Q7 (Calculator)
A pie chart shows how 360 students chose their favorite sport:

• Football 150 students
• Basketball 90 students
• Tennis 120 students

What percentage chose Tennis?

Solution:
Percentage = (120 ÷ 360) × 100
= 1/3 × 100
= 33.3%

Answer:
33.3%

Q8 (Calculator)
The mean score of 5 students is 70.
If 4 of the students scored 65, 70, 75, and 80, find the score of the fifth student.

Solution:
Total of 5 scores = 70 × 5 = 350
Sum of 4 known scores = 65 + 70 + 75 + 80 = 290
Fifth score = 350 – 290 = 60

Answer:
60

Q9 (Calculator)
A survey shows:

• 60% prefer tea
• 30% prefer coffee
• 10% prefer neither

Can we conclude that most people prefer tea based on this survey?

Solution:
Since 60% > 30%, tea is the most preferred option. However, the survey size or fairness is not mentioned, so the conclusion may not apply to a larger population.

Answer:
Yes, based on this survey only, tea is most preferred, but broader conclusions need more information.

Q10 (Calculator)
Two classes have test score means:

• Class A: mean 75, range 20
• Class B: mean 75, range 10

Which class has more consistent scores?

Solution:
Lower range = more consistent.

Class B has a smaller range (10), so Class B is more consistent.

Answer:
Class B