select the correct answer from each drop - down menu. the dot plot represents the scores of a group of…

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.

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.

Answer

Explanation:

Step1: Count the data points

There are 2 + 5+ 4+ 1+ 1 = 13 data - points.

Step2: Find the position of the median

For (n = 13) (odd number of data - points), the median is at the (\frac{n + 1}{2}=\frac{13+1}{2}=7^{th}) ordered data - point. Arranging the data in ascending order: 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5. The median is 3.

Step3: Find the position of the first quartile

The lower half of the data has (n_1=\frac{n - 1}{2}=6) data - points. The first quartile ((Q_1)) is the median of the lower half. For (n_1 = 6) (even number of data - points), (Q_1) is the average of the (\frac{6}{2}=3^{rd}) and ((\frac{6}{2}+1)=4^{th}) ordered data - points in the lower half. The lower - half data is 2, 2, 3, 3, 3, 3. (Q_1=\frac{3 + 3}{2}=3).

Answer:

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