Question

question 44
complete the following statements.
the first quartile (q1) corresponds to the
th percentile.
the median corresponds to the
th percentile.
the third quartile (q3) corresponds to the
th percentile.

Explanation:

Step1: Recall the definition of quartiles

Quartiles divide a data - set into four equal parts. The first quartile ($Q1$) is the value below which 25% of the data lies. So, $Q1$ corresponds to the 25th percentile.

Step2: Recall the property of the median

The median divides the data - set into two equal parts. 50% of the data lies below the median. So, the median corresponds to the 50th percentile.

Step3: Recall the definition of the third quartile

The third quartile ($Q3$) is the value below which 75% of the data lies. So, $Q3$ corresponds to the 75th percentile.

Answer:

The first quartile ($Q1$) corresponds to the 25th percentile.
The median corresponds to the 50th percentile.
The third quartile ($Q3$) corresponds to the 75th percentile.