Free Descriptive Statistics MCQs with Answers

• A. Zero
• B. Fixed
• C. Not fixed
• D. Nothing

Explanation: A constant variable has only one fixed value throughout the observations, unlike a variable that changes from one observation to another.

• A. Dispersion/ Variability
• B. Measurement error
• C. Random error
• D. Instrument error

Explanation: Chance fluctuations arising naturally in an observational or measurement process are called random error.

• A. Sample survey
• B. Accounting
• C. Investigation
• D. Complete enumeration

Explanation: A census covers every unit in the population, so it is conducted by complete enumeration.

• A. Discrete variable
• B. Continuous variable
• C. Qualitative variable
• D. Constant

Explanation: The life of a picture tube can take any value within a time interval, including fractional units such as 6.5 years.

• A. Secondary data
• B. Organized data
• C. Primary data
• D. None of these

Explanation: Primary data is collected firsthand by the investigator and is often initially available in raw, unorganized form.

• A. Height of a student
• B. Liking or disliking of (500) persons of a product
• C. Income of a government servant in a city
• D. Yield from a wheat plot

Explanation: Liking or disliking records a quality or category rather than a numerical measurement, so it is qualitative data.

• A. Leptokurtic
• B. Pyrokurtic
• C. Platykurtic
• D. Mesokurtic

Explanation: A distribution that is unusually tall and sharply peaked has positive excess kurtosis and is called leptokurtic.

• A. 9
• B. 3
• C. 21
• D. 81

Explanation: Variance is the square of the standard deviation, so the variance is 9² = 81.

• 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.

• 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.

• 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.

• 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%.

• 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…

• 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.

• 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.

• 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.

• 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 Σfᵢxᵢ², with each frequency multiplied by the square of its corresponding value.

• A. All possible
• B. Constant
• C. Accuracy
• D. Specific

Explanation: A continuous variable can take any value within an interval, including fractional values such as 2.4 or 2.

• A. Discrete
• B. Specific
• C. Continuous
• D. Constant

Explanation: Measurements such as height, weight and time can vary by arbitrarily small amounts, so they generally produce continuous data.

• A. Quantitative
• B. Primary
• C. Discrete
• D. Secondary

Explanation: Data collected originally by the agency that uses them are primary data.