SSC Statistics & Data Interpretation 1 — Questions and Answers
Question 1: The mean of 5 observations is 10. If one observation of value 8 is added, what is the new mean?
- 9.33
- 9.67 (Correct answer)
- 10.25
- 10.50
Correct answer: 9.67
Old sum = 5×10=50; new sum = 50+8=58; new mean = 58/6 ≈ 9.67.
Question 2: A pie chart shows that 25% of expenses are on food. If total expenses are Rs. 12,000, how much is spent on food?
- Rs. 2,500
- Rs. 3,000 (Correct answer)
- Rs. 3,500
- Rs. 4,000
Correct answer: Rs. 3,000
Food expenditure = 25% of 12,000 = 0.25 × 12,000 = Rs. 3,000.
Question 3: The mode of the data set {3, 5, 3, 7, 5, 3, 8} is:
- 3 (Correct answer)
- 5
- 7
- 8
Correct answer: 3
Mode is the most frequently occurring value; 3 appears three times, more than any other value.
Question 4: In a bar graph, the sales for Jan, Feb, Mar, Apr are 40, 60, 50, 70 units respectively. What is the total sales for the quarter Jan-Mar?
- 100
- 130
- 150 (Correct answer)
- 170
Correct answer: 150
Total sales for Jan-Mar = 40 + 60 + 50 = 150 units.
Question 5: What is the median of: 4, 7, 2, 9, 1, 5, 8?
- 5 (Correct answer)
- 6
- 7
- 4
Correct answer: 5
Sorted: 1,2,4,5,7,8,9; median is the middle value (4th of 7) = 5.
Question 6: A line graph shows production (in tonnes): 2018=200, 2019=250, 2020=300. What is the percentage increase from 2018 to 2020?
- 25%
- 33.3%
- 50% (Correct answer)
- 66.7%
Correct answer: 50%
Percentage increase = (300-200)/200 × 100 = 100/200 × 100 = 50%.
SSC Statistics & Data Interpretation 1
The mean of 5 observations is 10.
If one observation of value 8 is added, what is the new mean?