BKSB Handling Data and Statistics 3 — Questions and Answers
Question 1: A shop records daily sales (in $): 120, 85, 200, 95, 150, 85, 130. What is the mode?
- 95
- 120
- 85 (Correct answer)
- 150
Correct answer: 85
The mode is the most frequently occurring value; 85 appears twice, all others once.
Question 2: A scatter diagram shows a strong positive correlation. Which statement best describes this?
- As x increases, y decreases
- As x increases, y increases (Correct answer)
- x and y are unrelated
- y stays constant as x changes
Correct answer: As x increases, y increases
A positive correlation means both variables increase together.
Question 3: A grouped frequency table shows 15 values in the 10–20 interval and 25 values in the 20–30 interval. What is the total number of values in these two groups?
- 35
- 40 (Correct answer)
- 30
- 45
Correct answer: 40
Total = 15 + 25 = 40 values.
Question 4: The mean of five numbers is 14. Four of the numbers are 10, 12, 16, and 18. What is the fifth number?
- 12
- 14 (Correct answer)
- 16
- 10
Correct answer: 14
Total sum = 5 × 14 = 70; known sum = 10+12+16+18 = 56; fifth number = 70 − 56 = 14.
Question 5: A two-way table shows 30 boys and 20 girls in Year 10, and 25 boys and 35 girls in Year 11. How many students are in Year 11?
- 50
- 55
- 60 (Correct answer)
- 65
Correct answer: 60
Year 11 total = 25 boys + 35 girls = 60 students.
Question 6: Which measure of average is most affected by an extreme outlier value?
- Mode
- Median
- Mean (Correct answer)
- Range
Correct answer: Mean
The mean is calculated using all values, so a very high or low outlier significantly shifts it.
Question 7: A line graph shows temperatures at 6 AM, 9 AM, 12 PM, and 3 PM as 8°C, 12°C, 18°C, and 15°C. What was the temperature rise from 6 AM to 12 PM?
- 6°C
- 8°C
- 10°C (Correct answer)
- 12°C
Correct answer: 10°C
Rise = 18°C − 8°C = 10°C.
BKSB Handling Data and Statistics 3
A shop records daily sales (in $): 120, 85, 200, 95, 150, 85, 130.
What is the mode?