thirteen students in a statistics class were asked how many siblings they have. their responses are listed…

Explanation:

Step1: Find the five - number summary

First, order the data: 0, 1, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6. The minimum value is 0. The maximum value is 6. There are (n = 13) data points. The median (Q2) is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{13+1}{2}=7) - th value, so (Q2 = 3). The lower half of the data is 0, 1, 2, 3, 3, 3. The median of the lower half (Q1) is the (\left(\frac{6+1}{2}\right)= 3.5) - th value. So (Q1=\frac{2 + 3}{2}=2.5). The upper half of the data is 3, 5, 5, 6. The median of the upper half (Q3) is the (\left(\frac{4 + 1}{2}\right)=2.5) - th value. So (Q3=\frac{5+5}{2}=5).

Step2: Analyze the box - plot features

The box in the box - plot represents the inter - quartile range (IQR), from Q1 to Q3 ((IQR=Q3 - Q1=5 - 2.5 = 2.5)). The line inside the box is the median (Q2 = 3). The whiskers extend to the minimum (0) and maximum (6) values. The correct box - plot will have a box starting at 2.5, ending at 5, with a line at 3 inside the box, and whiskers going to 0 and 6.

Answer:

The box - plot that has a box starting at 2.5, ending at 5, a line inside the box at 3, and whiskers extending to 0 and 6. Since no specific named options are given, the description of the correct box - plot features is provided.