GAT Subject Statistics MCQs

An event consists of one or more possible outcomes.
Its probability measures how likely it is to occur.

The complement contains all sample-space outcomes outside A.
Its probability is 1 - P(A).

Mutually exclusive events have an empty intersection.
Thus P(A ∩ B) = 0.

Independent events satisfy P(A|B) = P(A).
Their intersection probability equals the product of their probabilities.

Conditional probability updates the relevant sample space using known information.
It is written as P(A|B).

The interquartile range is Q3 - Q1.
Therefore, IQR = 34 - 18 = 16.

The IQR is 8, so 1.5×IQR is 12.
The upper fence is Q3 + 12 = 30.

The mean is 4 and squared deviations total 8.
Population variance is 8 ÷ 3 ≈ 2.67.

The mean is 4 and squared deviations total 8.
Sample variance divides by n - 1, so 8 ÷ 2 = 4.

Standard deviation is the square root of variance.
The square root of 25 is 5.

Subtract the mean and divide by the standard deviation.
The z-score is (70 - 50) ÷ 10 = 2.

Use x = mean + z × standard deviation.
Thus x = 80 + (-2)(5) = 70.