Question

consider a sample with data values of 27,25 ,20 , 15,30 ,34 ,28 , and 25. which boxplot most accurately represents these data?

Answer 1

BOX 2

Explanation:

look at the photo

Answer 2

Explanation:

To make a boxplot, we need to know the minimum, Q1, median, Q3, and maximum.

The minimum is the smallest value: 15

The maximum is the largest value: 34

The median is found by arranging the numbers from smallest to largest and finding the middle point:

15, 20, 25, 25, 27, 28, 30, 34; there is not an exact middle here so we take the two middlemost points and divide by 2: 25+27/2 = 52/2 = 26

Q1 takes the numbers to the left of the median and finds the middle of those points. 15, 20, 25, 25. Again, there is no exact middle, so we use the same method as above. 20+25/2 = 22.5

Q1 takes the numbers to the right of the median and finds the middle of those points. 27, 28, 30, 34. Again, there is no exact middle, so we use the same method as above. 28+30/2 = 29

Now, use these points to construct!