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 14 of 24
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 uses every observation. Therefore both C and D are correct.
Correct answer: Both C. and D.132. If 10% is added to each value of variable, the geometric mean of new variable is added by_______________?
- 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. Hence the new geometric mean is 110% of the old one, an increase of 10%.
Correct answer: 10%133. The Geometric Mean of -2, 4, 03, 6, 0 will be______________?
- 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. Consequently, its real geometric mean cannot be computed.
Correct answer: Cannot be Computed134. Which of the following cannot be less than zero (negative)?
- 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. Arithmetic mean, median, harmonic mean in suitable nonzero data, and mode can be negative.
Correct answer: Geometric Mean135. If any of the value in data set is zero then it is not possible (i.e. impossiblE. to compute_______________?
- 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. A geometric mean may instead be zero when the data are nonnegative and include zero.
Correct answer: Harmonic Mean136. 2nd Quartile = 5th Decile = 50th Percentile = ?
- 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 the median.
Correct answer: Median137. _____________is the measure of average which can have more than one value?
- 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 multimodal. The mean and median have one value for a given dataset.
Correct answer: Mode138. In a frequency distribution the last cumulative frequency is 500. Q3 must lie in_____________?
- 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 item139. Find the median of the following datA. 160, 180, 200, 280, 300, 320, 400?
- A. 140
- B. 300
- C. 180
- D. 280
Explanation: The seven values are already ordered, so the median is the fourth value, 280. For an odd number of observations, the median occupies position (n+1)/2.
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. More exact ungrouped-data conventions may average the 150th and 151st observations.
Correct answer: 150th item