The mode is 10, as it appears most frequently (three times) in the data set.

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.

Mean = (2 + 4 + 4 + 4 + 5 + 5 + 7 + 9) / 8 = 5. Variance = [(2-5)² + (4-5)² + (4-5)² + (4-5)² + (5-5)² + (5-5)² + (7-5)² + (9-5)²] / 8 = 4.

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.

Mean = (5 + 7 + 9 + 11) / 4 = 8. Variance = [(5-8)² + (7-8)² + (9-8)² + (11-8)²] / 4 = 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 10 is represented as 1010 in binary.

The decimal number 15 is represented as 1111 in binary.

The decimal number 255 converts to binary as 11111111.

Price elasticity of demand = % change in quantity demanded / % change in price = 10% / 5% = 2

An increase in demand with constant supply leads to an increase in equilibrium price.

With constant supply and increased demand, the price will increase.

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

Fractional error = (absolute error / 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.

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

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

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

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.