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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.

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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

  1. Make a formula sheet for mean, median, mode, variance, standard deviation and coefficient of variation, and revise it before every practice session.
  2. Learn the mean and variance of the binomial, Poisson and normal distributions together, since questions often compare them.
  3. Memorise the properties of averages, such as which one is affected by zero values or extreme values, as these are common one line questions.
  4. Practise identifying sampling methods from short descriptions, especially cluster, stratified and systematic sampling.
  5. 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