Question

question 4
complete the following statements.
the first quartile (q1) corresponds to the \\(\square^{\text{th}}\\) percentile.
the median corresponds to the \\(\square^{\text{th}}\\) percentile.
the third quartile (q3) corresponds to the \\(\square^{\text{th}}\\) percentile.

Explanation:

Step1: Recall quartile - percentile relation

Quartiles divide a dataset into four equal parts. The first quartile (Q1) is the value where 25% of the data lies below it, so it corresponds to the 25th percentile.

Step2: Recall median - percentile relation

The median is the middle value of a dataset. When the data is ordered, half (50%) of the data lies below the median, so it corresponds to the 50th percentile.

Step3: Recall third quartile - percentile relation

The third quartile (Q3) is the value where 75% of the data lies below it, so it corresponds to the 75th percentile.

Answer:

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