Question

select the correct answer from each drop - down menu. the dot plot represents the scores of a group of students on an english test. if the dot plot is converted to a box plot, the first quartile would be drawn at, and the median would be drawn at.

Explanation:

Step1: Count the number of data - points

There are 15 data - points (dots) in the dot - plot.

Step2: Find the position of the first quartile

The formula to find the position of the first quartile ($Q_1$) for a set of $n$ data - points is $Q_1=\frac{n + 1}{4}$th value when the data is arranged in ascending order. Here, $n = 15$, so $Q_1=\frac{15+1}{4}=4$th value. Arranging the data in ascending order (the scores on the x - axis), the 4th value is 3.

Step3: Find the position of the median

The formula to find the position of the median for $n$ data - points (where $n$ is odd) is $\frac{n + 1}{2}$th value. Here, $n = 15$, so the median is the $\frac{15 + 1}{2}=8$th value. The 8th value is 4.

Answer:

The first quartile would be drawn at 3, and the median would be drawn at 4.