Question

1. the box plot represents the number of first cousins that a group of people have. a. if possible, find the range. if not possible, explain why not. b. if possible, find the median. if not possible, explain why not. c. do any of the people have 5 cousins? (from unit 1, lesson 2.) © 2019 by illustrative mathematics

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Identify max and min from box - plot

The minimum value of the data set represented by the box - plot is 0 and the maximum value is 12.
Range = 12 - 0 = 12

Step3: Recall median location in box - plot

The median is the value at the vertical line inside the box. The vertical line inside the box is at 6. So the median is 6.

Step4: Analyze value 5 in box - plot

The box - plot shows the distribution of data in quartiles. The box represents the inter - quartile range (IQR). Since 5 is within the box (the middle 50% of the data), it is possible that some people have 5 cousins.

Answer:

a. 12
b. 6
c. Yes