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JEE Main Mathematics

Statistics and Probability

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A timed sectional mock on this unit

Mean, median, mode, mean deviation, variance and standard deviation; the probability of events, the addition and multiplication theorems, Bayes' theorem and probability distributions.

Key formula
σ2=1n∑(xi−xˉ)2,P(Ai∣B)=P(Ai) P(B∣Ai)∑jP(Aj) P(B∣Aj)\sigma^2 = \frac{1}{n}\sum (x_i - \bar{x})^2, \quad P(A_i \mid B) = \frac{P(A_i)\,P(B \mid A_i)}{\sum_j P(A_j)\,P(B \mid A_j)}

What this unit covers

  • Measures of dispersion

  • Mean, median and mode of grouped and ungrouped data

  • Standard deviation, variance and mean deviation for grouped and ungrouped data

  • Probability of an event

  • Addition theorem of probability

  • Multiplication theorem of probability

  • Bayes' theorem

  • Probability distribution of a random variable