GAT Subject Statistics MCQs

Multiply each score by its weight and add the results.
The weighted mean is 80(0.40) + 70(0.60) = 74.

Mean equals total divided by number of values.
Thus total = 12 × 5 = 60.

Divide the total by the number of observations.
The mean is 144 ÷ 8 = 18.

A mean of 10 for four values requires a total of 40.
The known values total 28, so x = 40 - 28 = 12.

Exclude the overall median 8 and examine the lower half 2, 4, 6.
Its median is 4, which is Q1.

Exclude the overall median 8 and examine the upper half 10, 12, 14.
Its median is 12, which is Q3.

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.

A z-score gives signed distance from the mean in standard-deviation units.
Positive values lie above the mean.

The values sum to 28 and there are four observations.
The arithmetic mean is 28 ÷ 4 = 7.