Standard Deviation = √Variance = √16 = 4.

Mode = 4 (most frequent value).

Mode = 4 (most frequent value).

Mode = 7 (most frequently occurring value).

Q1 = 7, Q3 = 9; Interquartile Range = Q3 - Q1 = 9 - 7 = 2.

Mean = 7.8. Variance = [(5-7.8)² + (7-7.8)² + (8-7.8)² + (9-7.8)² + (10-7.8)²]/5 = 2.5. Standard Deviation = √2.5 ≈ 1.58.

Median = (7 + 7) / 2 = 7.

All values are the same, so variance = 0.

Median is the middle value. Here, the middle values are 7 and 8, so Median = (7+8)/2 = 7.5.

The standard deviation remains the same because the transformation is a shift.

Standard deviation remains the same as adding a constant does not affect dispersion.

Q1 is the median of the first half of the data set {3, 7}, which is 7.

Median is the middle value, which is 8.

The sum of deviations from the mean is always 0.

If today is Sunday, tomorrow will be Monday.

If the day before yesterday was Sunday, then today is Tuesday, and tomorrow will be Wednesday.

The decimal number 15 is represented as 1111 in binary.

The decimal number 255 converts to binary as 11111111.

Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.

Volume = mass/density; if mass is constant, the absolute error in volume = (mass * absolute error in density) / (density²).

Relative uncertainty = (absolute uncertainty / measured value) = 0.2 / 8.0 = 0.025.

Fractional error = (absolute error / measured value) = 0.1 / 8.0 = 0.0125.

Range = 8.0 ± 0.2 gives 7.8 to 8.2 g/cm³.

Relative uncertainty = (absolute uncertainty / measured value) = 0.1 / 8.0 = 0.0125.

Range = (8.0 - 0.5) to (8.0 + 0.5) = 7.5 to 8.5 g/cm³.

The absolute error is given directly as ±0.1 g/cm³.

Setting the determinant to zero gives x*4 - 2*3 = 0, thus x = 1.5.

If the diagonals of a quadrilateral bisect each other, it is a property of parallelograms.

Area = (d1 * d2) / 2 = (8 * 6) / 2 = 48 cm²

Circumference = πd = π(12) = 12π cm.