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: D. Both (b) & (c) but not (a)
Hypergeometric distributions model sampling without replacement from a finite population containing two groups. Removing items without replacement changes the population composition, causing success probabilities to chan...
Answer: B. Standard Deviation
Standard deviation incorporates every single individual data point in its mathematical formula. Each observation contributes to calculating deviations from the arithmetic mean value. Omitting any single data value change...
Answer: D. √3
Correlation coefficients are mathematically bound between negative one and positive one inclusive. The square root of three evaluates numerically to approximately 1.732 in decimal form. Because 1.732 exceeds the maximum...
Answer: B. Inferential Statistics
Inferential statistics involves generalizing sample findings to a larger population. Using five classmates to estimate university-wide averages is an inference. This process uses probability theory to draw conclusions be...
Answer: D. Probability of success varies from trial to trial
A defining requirement of the binomial distribution is that the probability of success remains constant across trials. If the probability of success changes between trials, the experiment violates the core binomial model...
Answer: B. Inferential Statistics
Inferential statistics involves generalizing from a small sample to a larger population. Measuring five classmates constitutes a sample observation set used to estimate university norms. Drawing conclusions about all stu...
Answer: B. Standard Deviations
Positional measures divide sorted datasets into equal proportional segments. Standard deviation measures data dispersion rather than dividing datasets. Therefore standard deviation does not qualify as a positional partit...
Answer: C. Either of the above
The Wilcoxon Rank-Sum test allows flexibility in setting directional or non-directional alternative research hypotheses. Researchers can test if one group tends to exceed another in either a specific or general direction...
Answer: A. (U)
Sample statistics serve as point estimators for unknown population parameters. The sample mean x bar acts as the unbiased estimator for the population mean mu. Statistical notation uses Greek letters for parameters and L...
Answer: B. 50th Percentile
The 50th percentile represents the median, dividing a sorted dataset into two equal halves. Measures of central tendency locate the middle of a distribution rather than its spread. Dispersion metrics quantify variability...
Answer: B. Ronald Fisher
Ronald Fisher made foundational contributions to modern statistical science. He developed ANOVA, maximum likelihood estimation, and experimental design principles. His work shaped the theoretical framework of modern stat...
Answer: B. Cluster sampling
Cluster sampling bypasses the need for individual lists by grouping populations into accessible natural units. Researchers can randomly select entire groups when individual member lists are completely missing or outdated...
Answer: A. Wilcoxon signed rank test
The Wilcoxon signed rank test incorporates the magnitude of differences between paired observations, not just signs. The sign test only considers whether differences are positive or negative, discarding valuable magnitud...
Answer: B. Binomial random variable
A binomial random variable counts the exact occurrences of successful outcomes in trials. Each individual trial must be independent and share the exact same probability of success. This specific count variable forms the...
Answer: B. Stratified sampling
Stratified sampling divides heterogeneous populations into homogeneous subgroups before random selection. Sampling every subgroup ensures adequate representation across diverse population characteristics. This method red...
