PLEASE HELP SOLVE THIS ASAP

Question

The board members of a provincial organization receive a car allowance for travel to meetings. Here are the distances the board logged last year (in kilometers).

44   18   125   80   63   42   35

68   52   75   260    96   110   72   51

Create a properly labeled box and whisker plot for the data. Show all your work.

Answer 1

It's always best to begin by sorting your data lowest to largest:

  18 35 42 44     51 52  63 68 72   75 80 96 110 125 260     

There are five variables (often referred to as the "five number summary") which belong in the box and whisker plot. From left to right:

1. min - lowest value in the set (18)
2. Q1 - this is the median of the data points to the left of the median (44)
3.  18 35 42 44     51 52  63
4. Median - middle value in the set (68)
5. Q3 - this is the median of the data points to the right of the median (96)
6. 72   75 80 96 110 125 260     
7. Max - highest value in the set (260)

To create our box plot we simply now work from left to right given the information above.

1. your far left point is your min (18)
2. the left side of the box is your Q1 (44)
3. Your middle line is your median (68)
4. Your right side of the box is your Q3 (96)
5. And your far right point is your max (260)