Probability and Statistics - MADE EASY Study Material for GATE, ESE and SES Exams

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Standard Deviation

Standard deviation is a measure of dispersion or variation amongst data. Instead of taking absolute deviation from the arithmetic mean,

1. Empirical mode = 3 median – 2 mean When an approximate value of mode is required, the above empirical

Mode is defined as the value of the variable that occurs most frequently. Mode for Raw Data In raw data,

Arithmetic mean is the central value of the distribution in the sense that positive and negative deviations from the arithmetic

Arithmetic Mean for Raw Data The formula for calculating the arithmetic mean for raw data is: x̅ = ∑x/n x̅

Introduction Statistics is a branch of mathematics which gives us the tools to deal with large quantities of data and

There are six rules of probability using which the probability of any compound event involving arbitrary events A and B,

Consider an experiment whose sample space is S. For each event E of the sample space S, we assume that

Definitions Sample Space and Event: Consider an experiment whose outcome is not predictable with certainty. Such an experiment is called