Statistics is part of Mathematics and holds 730 questions with answers, free to read and with no account needed.
Questions from this area appear in PPSC, FPSC and NTS papers. Each guide explains how that paper is built and which subjects carry it.
Attempt each question before revealing the answer, and keep a note of the ones you get wrong — those are the topics worth reading about properly. If an answer looks wrong, there is a link to report it on every question.
Answer: C. Mean
The arithmetic mean is defined as the sum of all observations divided by their count. This fundamental calculation accounts for every numerical value present in the statistical dataset. It represents the most common and...
Answer: A. -∞ to +∞
The normal distribution formula is defined across the entire real number line. Its bell-shaped curve extends infinitely in both the positive and negative directions. Therefore its mathematical domain spans from negative...
Answer: A. Less than mean
The variance of a binomial distribution is calculated using the formula n times p times q. The mean of a binomial distribution is calculated using the formula n times p. Since q represents a probability less than one the...
Answer: D. (x – 4)2
The variance is the expected value of the squared deviation from the mean, denoted as E[(X - μ)^2].
Answer: B. Continuous Variable
Student body weights can take any numerical value along a continuous scale depending on measurement precision. A continuous variable is defined as one that can assume an infinite number of possible real values within an...
Answer: C. Timely
Weighted scoring and index systems must remain relevant to changing economic or operational conditions. To maintain accuracy, these weighting frameworks are adjusted periodically based on chronological timeframes. Theref...
Answer: B. 1.2.3……(n-2) (n-1) (n)
Factorial notation represents the product of all positive integers less than or equal to n. Writing out the product explicitly shows descending natural numbers down to the final integer one. Mathematical definitions desi...
Answer: C. Two populations
The Wilcoxon Rank-Sum test is a non-parametric statistical method designed to compare two populations. It evaluates whether two independent samples were selected from populations having identical distributions. This test...
Answer: A. Zero
A constant value never changes its numerical amount under any circumstances. Variance measures the spread or dispersion of values around their mean. Since a constant has no spread its variance is mathematically zero. Con...
Answer: C. 68.27%
The empirical rule states that normal distributions follow predictable spread percentages. One standard deviation above and below the mean captures the central core of data. Therefore the interval x plus or minus s encom...
Answer: A. Critical value
Critical values serve as boundary markers that partition the sampling distribution into acceptance and rejection regions. Test statistics falling beyond these critical thresholds lead to the rejection of the null hypothe...
Answer: C. 2.5
Variance measures squared dispersion, meaning changes in scale affect variance by the square of the scalar. Dividing each observation by two scales the dataset down by a factor of two. Squaring this scaling factor of two...
Answer: C. 2.5
Dividing every value in a dataset by a constant divides the standard deviation by that constant. Variance equals the square of the standard deviation in any dataset calculation. Dividing data by two means the new varianc...
Answer: B. Zero
The arithmetic mean serves as the strict balancing point of any statistical numerical dataset. Subtracting the mean from every individual observation creates positive and negative deviation values. Summing all these indi...
Answer: A. Continuous data
Race completion time can take any fractional value along a continuous timeline. Variables measured with precision instruments are classified as continuous data. Unlike counts, time measurements are not restricted to dist...
