Explanation

The third quartile (Q3) is the value below which 75% of the data falls.

Quartiles divide data into four equal parts, and Q3 marks the 75th percentile.

Additional Information:

Quartiles divide an ordered data set into four equal parts (quarters). We use subscript notation to label the quartiles: Q1, Q2, and Q3.

The first quartile, Q1, is 1/4 (or 25%) of the way through the data – the lower quartile.

The second quartile, Q2, is 1/2 (or 50%) of the way through the data – the median.

The third quartile, Q3, is 3/4 (or 75%) of the way through the data – the upper quartile.

Example data:

3, 4, 4, 5, 6, 8, 10

LQ (Q1): 4

Median (Q2): 5

UQ (Q3): 8

Explanation

Mode is the value that appears most frequently in a data set.

If all values are different, no number repeats, so the mode is 0 (no mode).

Explanation

Given numbers: 20, 26, 40, 36, 23

Step 1: Add them

20 + 26 + 40 + 36 + 23 = 145

Step 2: Divide by the number of values (5)

145 ÷ 5 = 29

Explanation

The coefficient of variation (CV) is defined as:

(Standard Deviation / Mean) × 100

This formula expresses the standard deviation as a percentage of the mean.

Explanation

The coefficient of variation (CV) is the ratio of Standard deviation and Mean.

CV = (σ / μ) × 100, where σ is the standard deviation and μ is the mean.

Explanation

Explanation

The homogeneous equation ax² + 2hxy + by² = 0 represents:

• A pair of real and distinct straight lines through the origin if h² − ab > 0
• A pair of coincident lines if h² − ab = 0
• A pair of imaginary lines if h² − ab < 0

So, the correct answer is: h² − ab > 0

Explanation

The sum of the first n odd numbers is given by:

1 + 3 + 5 + ... + (2n - 1) = n²

Explanation

Explanation

Original statement: p → q

Contrapositive:  ¬q → ¬p

Converse of contrapositive: Swap it → ¬p → ¬q