Question

Create a box plot from the set of numbers. 18,5,15,19,14,19,20Min =5Max =20ql=14Q²=18q³=19

Answer 1

To construct a box plot, find the minimum and maximum values, calculate the quartiles, and draw a rectangle (box) with whiskers extending to the minimum and maximum values.

Step-by-step explanation:

To construct a box plot, follow these steps:

1. Find the minimum and maximum values of the set of numbers. In this case, the minimum value is 5 and the maximum value is 20.
2. Calculate the first quartile (Q1), second quartile (Q2 or median), and third quartile (Q3). In this case, Q1 is 14, Q2 is 18, and Q3 is 19.
3. Draw a number line and mark the minimum, Q1, Q2 (median), and Q3 values on it.
4. Draw a rectangle (box) between the Q1 and Q3 values.
5. Extend lines from the ends of the box (whiskers) to the minimum and maximum values.

In this case, the box plot would have a box with the values 14, 18, and 19 and whiskers extending from 5 to 14 and from 19 to 20.