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Statistics – Foundational and Intermediate Level

Access to over 120 questions (12 questions at a time) in the following topics.

Descriptive Statistics, Measures of central tendency: mean, median, mode, Measures of dispersion: variance, standard deviation, range, interquartile range, Skewness and kurtosis, Probability, Basic concepts: sample space, events, probability axioms, Conditional probability and independence, Bayes’ theorem, Probability distributions: discrete and continuous, Inferential Statistics, Sampling methods: random sampling, stratified sampling, cluster sampling, etc., Estimation: point estimation, interval estimation, Hypothesis testing: null and alternative hypotheses, p-values, type I and type II errors, Confidence intervals, Probability Distributions, Probability Mass Function (PMF), Probability Density Function (PDF)

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Sample Questions :
The arithmetic mean of 10 observations is 25. If one observation, 30, is removed, what is the new arithmetic mean?
In a positively skewed distribution, the relationship between the mean, median, and mode would be:
If every value in an ungrouped frequency distribution appears only once, then
Which probability distribution is used to model the number of successes in a fixed number of independent Bernoulli trials?
For a continuous random variable X with a probability density function (PDF) of f(x)=2x for 0≤x≤1, what is the mathematical expectation E(X)?

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