What is the statistic called whose specific value is used to estimate a population parameter?
Correct answer A. Point estimator
Subject / 666 questions
Statistics MCQs
Statistics MCQs are multiple-choice questions on collecting, summarising and interpreting data, covering averages, dispersion, probability, binomial and normal distributions, sampling, correlation, regression, index numbers and hypothesis testing. They help statistics and economics students and candidates for lecturer and research posts. Every question on MCQs360 has an instant answer, so you can check each concept as you practise.
Because E(x̄) = ____, x̄ is said to be an unbiased estimator of the population mean. Which symbol fills the blank?
Correct answer B. μ
Sampling error decreases when the sample size is?
Correct answer B. Increased
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What is a particular value of a sample statistic called?
Correct answer D. Estimate
Estimation and hypothesis testing are the two main branches of?
Correct answer C. Statistical Inference
What are the 95% confidence limits for a population proportion P?
Correct answer A. p ± 1.96√(pq/n)
What is the hypothesis that is actually being tested called?
Correct answer B. Null hypothesis
A Type II error is committed when the null hypothesis is?
Correct answer B. Accepted when it is false
Which of the following cannot be a null hypothesis H0?
Correct answer A. θ ≠ θ0
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If the null hypothesis is H₀: θ = θ₀, how is the general (two-sided) alternative hypothesis stated?
Correct answer D. H₁: θ ≠ θ₀
What is the first step in testing a hypothesis?
Correct answer D. Stating H0
Which criteria are used to judge whether a point estimator is good?
Correct answer D. All of the above
The consistency of an estimator can be checked by comparing its?
Correct answer B. Variance
Herbicide A has long been used to kill a certain weed. An experiment will test whether a new Herbicide B is more effective; A stays in use unless there is enough evidence that B is better. What is the alternative hypothesis?
Correct answer B. Herbicide B is more effective than Herbicide A
Which assumption underlies the use of the t-distribution?
Correct answer B. The samples are drawn from a normally distributed population
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What is the shape of the t-distribution?
Correct answer C. Symmetrical
Which statement correctly compares the t-distribution with the standard normal distribution?
Correct answer A. The greater the degrees of freedom, the more the t-distribution resembles the standard normal distribution
When is the Mann-Whitney U test preferred to a t-test?
Correct answer A. The assumption of normality is not met
What does the sign test assume about the samples?
Correct answer B. Samples are dependent
Six people each rate three brands of coffee for taste on a scale of 1 to 10, giving 18 observations. Which test is appropriate for checking whether the brands taste equally good?
Correct answer C. Kruskal-Wallis test
About Statistics MCQs
Statistics questions test both definitions and quick calculations. Examples include the value of β2 for a mesokurtic curve, which average vanishes when one value is zero, the coefficient of variation when the mean is 25 and the standard deviation is 5, and the range of a set of identical values. Many items rely on knowing the properties of measures rather than long working.
The collection covers ten subtopics. Descriptive statistics includes averages, measures of dispersion and index numbers. Probability topics cover basic probability and binomial and hypergeometric distributions, along with the normal distribution and its quartiles and moments. Inferential statistics includes sampling methods such as cluster sampling, statistical inference, hypothesis testing and comparisons of the t and standard normal distributions, while correlation and simple linear regression complete the set.
Statistics is tested in lecturer and subject specialist tests, statistical officer and research posts, and banking and economics papers. In India it appears in UGC NET and statistics-related state recruitment, and it supports the quantitative sections of civil service and economics exams across the region. Regular MCQ practice helps you remember formulas and properties, avoid common calculation slips and apply them quickly.
Key facts to remember
- For a mesokurtic curve such as the normal distribution, β2 equals 3.
- In a normal distribution the mean, median and mode are all equal.
- The coefficient of variation equals the standard deviation divided by the mean, multiplied by 100.
- The sum of absolute deviations is smallest when measured from the median.
- The geometric mean becomes zero if any value in the data is zero.
- The binomial distribution has mean np and variance npq.
- The t distribution has heavier tails than the standard normal distribution.
- In a Poisson process, the time between successive events follows an exponential distribution.
Exams that include Statistics MCQs
Pakistan
- PPSC
- FPSC
- Lecturer tests
- NTS
- Banking job tests
India
- UGC NET
- State PSC exams
- IBPS PO
- Campus placements
Bangladesh
- BCS
- Bangladesh Bank recruitment
- Government job tests
How to prepare for Statistics MCQs
- Make a formula sheet for mean, median, mode, variance, standard deviation and coefficient of variation, and revise it before every practice session.
- Learn the mean and variance of the binomial, Poisson and normal distributions together, since questions often compare them.
- Memorise the properties of averages, such as which one is affected by zero values or extreme values, as these are common one line questions.
- Practise identifying sampling methods from short descriptions, especially cluster, stratified and systematic sampling.
- For hypothesis testing, learn the meaning of type I and type II errors and when to use t, z or chi-square tests.
Frequently asked questions
What are the most important topics in Statistics MCQs?
The most important topics are measures of central tendency, measures of dispersion, probability, the binomial and normal distributions, sampling, correlation and regression, index numbers and hypothesis testing. Questions often test properties of averages and distributions rather than long calculations, so understanding formulas and their meaning is essential.
Which exams ask Statistics MCQs?
Statistics MCQs appear in PPSC and FPSC lecturer and statistical officer tests, NTS tests and banking job tests in Pakistan. In India they feature in UGC NET, state PSC exams and quantitative sections of bank exams. In Bangladesh, BCS and Bangladesh Bank recruitment tests include statistics questions.
How many Statistics MCQs are on MCQs360?
MCQs360 has more than 700 Statistics MCQs across ten subtopics, from measures of dispersion to hypothesis testing and regression. Every question shows its correct answer instantly, and practice is free with no sign-up, so you can revise one chapter at a time or mix topics.
How should I prepare for Statistics MCQs?
Revise formulas and properties for each topic, then practise MCQs to apply them quickly. Focus on understanding why a measure behaves as it does, such as why the geometric mean is zero when one value is zero. Keep a list of mistakes and use mixed timed sets before the exam.
What is the coefficient of variation?
The coefficient of variation is a relative measure of dispersion, calculated as the standard deviation divided by the mean, multiplied by 100. For example, with a mean of 25 and a standard deviation of 5, the coefficient of variation is 20 percent. It is useful for comparing variability between data sets with different units or means.
Why are the mean, median and mode equal in a normal distribution?
The mean, median and mode are equal in a normal distribution because the curve is perfectly symmetrical about its centre. The highest point, which is the mode, lies in the middle, half the values fall on each side, giving the median, and the balance point, the mean, sits in the same place.
Last reviewed October 2026