Explanation

"Several" refers to an indefinite number, indicating how many mistakes — qualifying it as an Adjective of Number.

It also shows quantity (not exact), so it works as a Quantity Adjective too.

Explanation

The correct preposition is "on" because the spider is attached to the surface of the ceiling.

"On the ceiling" means something is resting or moving along its surface.

Explanation

• National Assembly (Lower House)
• Senate (Upper House)

• Headed by the President of Pakistan
• Actual executive powers are exercised by the Prime Minister and the Cabinet

• Independent branch with authority vested in the Supreme Court
• Ensures the interpretation and enforcement of the Constitution

Explanation

KE = 1/2mv²

Given m = 0.03 kg, v = 400 m/s

KE = 1/2 × 0.03 × 400 × 400

= 1/2 × 0.03 × 160000

= 1/2 × 4800

= 2400 J

Explanation

Step 1: Calculate the mean of the marks.

Mean = (6 + 8 + 10 + 12 + 4 + 20) / 6

= 60 / 6

= 10

Step 2: Calculate the mean deviation.

Mean Deviation = (|6-10| + |8-10| + |10-10| + |12-10| + |4-10| + |20-10|) / 6

= (4 + 2 + 0 + 2 + 6 + 10) / 6

= 24 / 6

= 4

Step 3: Calculate the coefficient of dispersion.

Coefficient of Dispersion = Mean Deviation / Mean

= 4 / 10

= 0.4

Explanation

The standard deviation of a binomial distribution is indeed √npq, where:

• n is the number of trials
• p is the probability of success
• q is the probability of failure (q = 1 - p)

The formula for the standard deviation of a binomial distribution is:

σ = √npq

This represents the spread or dispersion of the distribution.

Explanation

Geometric Mean = ∛(2 × 4 × 8)

= ∛64

= 4

Explanation

A bimodal distribution has two modes, meaning two values occur with the highest and equal frequency.

It indicates the presence of two peaks in the data set.

Explanation

A small standard deviation means the data is tightly clustered around the mean.

This results in a less spread out (narrower) normal distribution curve.

Explanation

Mode is the value that occurs most frequently in a dataset.

It represents the most common or popular item in the data.