BKSB Handling Data and Statistics 2 — Questions and Answers
Question 1: A survey recorded the number of hours 8 students spent studying: 3, 5, 7, 2, 8, 5, 6, 4. What is the median number of hours?
- 5
- 5.5 (Correct answer)
- 4.5
- 6
Correct answer: 5.5
When sorted (2,3,4,5,5,6,7,8), the median is the average of the 4th and 5th values: (5+5)/2 = 5.5.
Question 2: A bar chart shows that 40 people prefer tea, 25 prefer coffee, and 15 prefer juice. What percentage prefer coffee?
- 25%
- 31.25% (Correct answer)
- 30%
- 35%
Correct answer: 31.25%
Total = 80; coffee percentage = 25/80 × 100 = 31.25%.
Question 3: A frequency table shows scores: 10 appears 3 times, 20 appears 5 times, 30 appears 2 times. What is the mean score?
- 18
- 19 (Correct answer)
- 20
- 22
Correct answer: 19
Mean = (10×3 + 20×5 + 30×2) / (3+5+2) = (30+100+60)/10 = 190/10 = 19.
Question 4: Which type of graph is most appropriate for showing how a company's sales changed month by month over one year?
- Pie chart
- Line graph (Correct answer)
- Bar chart
- Pictogram
Correct answer: Line graph
A line graph is best for showing trends and changes over a continuous time period.
Question 5: A data set has values: 4, 4, 7, 9, 11. What is the range?
- 5
- 6
- 7 (Correct answer)
- 11
Correct answer: 7
Range = highest − lowest = 11 − 4 = 7.
Question 6: In a class of 30 students, a tally chart shows 12 students scored grade A. What fraction of students did NOT score grade A?
- 2/5
- 3/5 (Correct answer)
- 12/30
- 2/3
Correct answer: 3/5
Students not scoring A = 30 − 12 = 18; fraction = 18/30 = 3/5.
Question 7: A pie chart represents 60 people. One sector represents 90°. How many people does that sector represent?
- 10
- 12
- 15 (Correct answer)
- 20
Correct answer: 15
90° is 90/360 = 1/4 of the circle; 1/4 × 60 = 15 people.
BKSB Handling Data and Statistics 2
A survey recorded the number of hours 8 students spent studying: 3, 5, 7, 2, 8, 5, 6, 4.
What is the median number of hours?