Data Interpretation Questions and Answers
Practice ModeShowing 10 of 29 questions
Q21
The probability of getting a prime number when a fair die is thrown:
Answer: Option C
Explanation: Prime numbers on a die: 2, 3, 5 (3 numbers). Total outcomes: 6. Probability = 3/6 = 1/2 = 0.5
Q22
If variance of data is 16, what is the standard deviation?
Answer: Option B
Explanation: Standard deviation = √Variance = √16 = 4
Q23
In a normal distribution, what percentage of data lies within ±1 standard deviation from mean?
Answer: Option B
Explanation: In normal distribution: ±1σ covers 68%, ±2σ covers 95%, ±3σ covers 99.7% of data.
Q24
The geometric mean of 4 and 16 is:
Answer: Option A
Explanation: Geometric mean = √(4 × 16) = √64 = 8
Q25
If 20% of items are below 30 and 30% are above 70 in a frequency distribution, what is the median?
Answer: Option B
Explanation: This indicates median lies between 30 and 70. With given percentiles, median is approximately at 50th percentile. More information needed for exact value, but given options, 50 is most reasonable estimate.
Q26
In a box plot, the length of the box represents:
Answer: Option B
Explanation: In a box plot, the box extends from Q1 to Q3, so its length represents Interquartile Range (IQR) = Q3 - Q1.
Q27
The harmonic mean of 2, 4, and 8 is:
Answer: Option A
Explanation: Harmonic mean = 3/(1/2 + 1/4 + 1/8) = 3/(0.5 + 0.25 + 0.125) = 3/0.875 = 3.428 ≈ 3.43
Q28
If coefficient of variation is 25% and mean is 40, what is the standard deviation?
Answer: Option B
Explanation: Coefficient of variation = (Standard deviation/Mean) × 100. So 25 = (SD/40) × 100. SD = (25 × 40)/100 = 10
Q29
In a regression line Y = a + bX, 'b' represents:
Answer: Option C
Explanation: In regression line Y = a + bX, 'b' is the slope coefficient representing change in Y for unit change in X.