SSC Statistics & Data Interpretation 2 — Questions and Answers
Question 1: The range of the data {15, 22, 8, 31, 19, 27} is:
- 16
- 23 (Correct answer)
- 19
- 22
Correct answer: 23
Range = Maximum − Minimum = 31 − 8 = 23.
Question 2: A table shows that Company A's revenue is Rs. 500 crore and Company B's is Rs. 300 crore. What fraction of total revenue belongs to Company B?
- 3/5
- 3/8 (Correct answer)
- 2/5
- 3/7
Correct answer: 3/8
Total = 500+300 = 800; Company B's fraction = 300/800 = 3/8.
Question 3: If the probability of an event occurring is 0.35, what is the probability of it NOT occurring?
- 0.35
- 0.55
- 0.65 (Correct answer)
- 0.75
Correct answer: 0.65
Probability of not occurring = 1 − 0.35 = 0.65.
Question 4: The arithmetic mean of 10 numbers is 45. If each number is increased by 5, what is the new mean?
- 45
- 48
- 50 (Correct answer)
- 55
Correct answer: 50
When a constant is added to all values, the mean also increases by that constant: 45+5=50.
Question 5: In a survey of 200 people, 120 prefer tea and 80 prefer coffee. What percentage prefers coffee?
- 30%
- 35%
- 40% (Correct answer)
- 45%
Correct answer: 40%
Coffee preference = 80/200 × 100 = 40%.
Question 6: A bar chart shows expenses over 4 months: Jan=Rs.500, Feb=Rs.700, Mar=Rs.600, Apr=Rs.800. What is the average monthly expense?
- Rs. 600
- Rs. 625 (Correct answer)
- Rs. 650
- Rs. 675
Correct answer: Rs. 625
Average = (500+700+600+800)/4 = 2600/4 = Rs. 650.
The range of the data {15, 22, 8, 31, 19, 27} is: