Free Descriptive Statistics MCQs with Answers
238 Descriptive Statistics MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
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238 questions · page 7 of 12
- A. Discrete variable
- B. Qualitative variable
- C. Continuous variable
- D. None of these
Explanation: Temperature can take fractional readings such as 25.4°C or 25.45°C, so it is measured on a continuous scale.
Correct answer: Continuous variable- A. Mean/S.D.
- B. S.D./Mean x 100
- C. Mean/S.D. x 100
- D. S.D./Mean
Explanation: The coefficient of variation compares spread with the mean and is calculated as (standard deviation ÷ mean) × 100.
Correct answer: S.D./Mean x 100- A. Continuous variable
- B. Discrete variable
- C. Function
- D. None of these
Explanation: The number of defective bulbs is a count and can take values such as 0, 1, 2, and so on, rather than every value on a continuum.
Correct answer: Discrete variable- A. 8
- B. 10
- C. 6
- D. 12
Explanation: The squared deviations from 4 are (2−4)², (3−4)², (4−4)², (5−4)² and (6−4)², which sum to 4+1+0+1+4 = 10. Thus the required total is 10.
Correct answer: 10- A. 3.86
- B. 8.37
- C. 9.21
- D. 10.63
Explanation: The weighted mean wage is total daily wages divided by total workers: (20×10 + 15×8 + 5×3) / 40 = 335/40 = 8.375, approximately Rs. 8.37.
Correct answer: 8.37- A. 60
- B. 90
- C. 70
- D. 100
Explanation: The range is the largest value minus the smallest value. Here it is 350 − 280 = 70, so the weekly price range is 70.
Correct answer: 70- A. Uni-Modal
- B. Bi-Modal
- C. Tri-Modal
- D. Multi-Modal
- E. None of these
Explanation: A distribution with exactly two values having the highest frequency is called bimodal. Uni-modal has one mode, while tri-modal has three.
Correct answer: Bi-Modal- A. a+b2
- B. 2aba+b
- C. ab−−√
- D. a+b
Explanation: For two positive numbers, the harmonic mean is the reciprocal of the average of their reciprocals: 2ab divided by a+b.
Correct answer: 2aba+b- A. Geometric Mean
- B. Median
- C. Arithmetic Mean
- D. Harmonic Mean
- E. Mode
Explanation: The arithmetic mean uses every observation, so an extremely large or small value directly pulls it upward or downward.
Correct answer: Arithmetic Mean- A. X1+X2
- B. X1+X2x
- C. X1+X2−−−−−−−√
- D. X1×X2−−−−−−−√
- E. X1−−−√+X2−−−√
Explanation: For two values, the geometric mean is the square root of their product, √(X₁X₂).
Correct answer: X1×X2−−−−−−−√131. Which of the following Measure of Averages is not based on all the values given in the data set?
- A. Arithmetic Mean
- B. Geometric Mean
- C. Median
- D. Mode
- E. Both C. and D.
Explanation: The median depends mainly on the middle position after ordering, and the mode depends on the most frequent value, so neither necessarily…
Correct answer: Both C. and D.- A. 5%
- B. 10%
- C. No Change
- D. 110%
- E. 90%
Explanation: Multiplying every observation by 1.10 multiplies the geometric mean by 1.10 as well.
Correct answer: 10%- A. -3
- B. 0
- C. 3
- D. Cannot be Computed
- E. None of these
Explanation: A real geometric mean is ordinarily defined for positive observations; the listed data include both a negative value and zero.
Correct answer: Cannot be Computed- A. Median
- B. Geometric Mean
- C. Arithmetic Mean
- D. Harmonic Mean
- E. Mode
Explanation: Under the standard definition, the geometric mean is used for positive observations and therefore cannot be negative.
Correct answer: Geometric Mean- A. Mode
- B. Median
- C. Mean
- D. Harmonic Mean
- E. Geometric Mean
Explanation: The harmonic mean is n divided by the sum of reciprocals, and a zero observation contributes 1/0, making the calculation undefined.
Correct answer: Harmonic Mean- A. Mode
- B. Median
- C. Mean
- D. Geometric Mean
- E. Harmonic Mean
Explanation: Quartiles, deciles and percentiles use different scales: Q2, D5 and P50 all mark the middle observation of an ordered dataset, which is…
Correct answer: Median- A. Mean
- B. Median
- C. Harmonic Mean
- D. Mode
- E. Geometric Mean
Explanation: The mode is the most frequent value, and a dataset may have two or more values tied for the highest frequency, making it bimodal or…
Correct answer: Mode- A. 275th item
- B. 375th item
- C. 150th item
- D. 175th item
Explanation: The position of Q3 is 3(N+1)/4, or conventionally 3N/4 for grouped distributions. With N = 500, this gives the 375th item.
Correct answer: 375th item- A. 140
- B. 300
- C. 180
- D. 280
Explanation: The seven values are already ordered, so the median is the fourth value, 280.
Correct answer: 280140. In a frequency distribution the last cumulative frequency is 300, Median shall lie in____________?
- A. 140th item
- B. 130th item
- C. 160th item
- D. 150th item
Explanation: For a distribution containing 300 observations, the median position is conventionally N/2 = 300/2 = 150, so it lies at the 150th item.
Correct answer: 150th item