All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 22 of 55
211. If the standard deviation of a population is 9, the population variance is_____________?
- A. 9
- B. 3
- C. 21
- D. 81
Explanation: Variance is the square of the standard deviation, so the variance is 9² = 81. The value 9 is the standard deviation itself, not the variance.
Correct answer: 81212. The sum of the deviations about the mean is always______________?
- A. Range
- B. Zero
- C. Total Standard Deviation
- D. Positive
- E. Negative
Explanation: Positive and negative deviations from the arithmetic mean cancel one another, giving a total of zero. This is a defining property of the arithmetic mean.
Correct answer: Zero213. The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distribution is_____________?
- A. Positively Skewed
- B. Symmetrical
- C. Asymptotic
- D. Negatively Skewed
Explanation: For a negatively skewed distribution, the usual order is mean < median < mode because the left tail pulls the mean downward. Here 23 < 24 < 25.5, indicating negative skewness.
Correct answer: Negatively Skewed214. Which of the following describe the middle part of a group of numbers ?
- A. Measure of Variability
- B. Measure of Central Tendency
- C. Measure of Association
- D. Measure of Shape
Explanation: Measures of central tendency, such as the mean, median, and mode, describe the central or typical location of a group of numbers. Variability describes spread, not the middle.
Correct answer: Measure of Central Tendency215. The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient of variation ?
- A. 60.4%
- B. 48.3%
- C. 35.7%
- D. 27.8%
Explanation: The coefficient of variation is (standard deviation ÷ mean) × 100, so (5 ÷ 14) × 100 = 35.7%. It expresses relative variation as a percentage.
Correct answer: 35.7%216. You asked five of your classmates about their height. On the basis of this information, you states the average height of all student in your university or college is 67 inches. This is an example of____________?
- A. Descriptive statistics
- B. Inferential Statistics
- C. Parameter
- D. Population
Explanation: The five classmates form a sample, while estimating the average height of all university students generalizes from that sample to a population. Such generalization is inferential statistics, not merely a description of the five heights.
Correct answer: Inferential Statistics217. making a entrance slip in service hospital is the method of collection of data by______________?
- A. Registration
- B. Entry
- C. Correspondents
- D. none of these
Explanation: An entrance slip prepared when a person arrives at a hospital records the person through the registration process. Thus, registration is the relevant method of collecting the data.
Correct answer: Registration218. Results obtained by counting are_____________?
- A. Continuous
- B. Discrete
- C. Both (a) and (b)
- D. None of these
Explanation: Counting produces whole-number values, such as 0, 1, 2, and 3, which are discrete rather than continuous. Continuous measurements can take any value within an interval.
Correct answer: Discrete219. Eyes color of employees is the example of____________?
- A. Continuous variable
- B. Constant variable
- C. Discrete variable
- D. Attribute
Explanation: Eye colour is a qualitative characteristic rather than a numerical measurement, so it is treated as an attribute. It cannot be meaningfully added or measured on a continuous scale.
Correct answer: Attribute220. f1x12 + f2x22 + -----+ fxx42=___________?
- A. Σu1=1 ƒ ixi2
- B. Σni-1 ƒ ixi2
- C. Σpi=1 ƒ ixi2
- D. Σmi=1 ƒ ixi2
Explanation: The repeated terms follow the summation pattern [1m[0mΣfᵢxᵢ², with each frequency multiplied by the square of its corresponding value. Option a is the intended notation, although the displayed subscripts are poorly formatted.
Correct answer: Σu1=1 ƒ ixi2