Answer:
22 millimeters
Explanation:
- Firstly, to find the median of a box and whisker plot, you find the center line of the plot and look to which number on the line it is pointing to. Median = middle, to help you remember.
- For the diameter of bicycle tires, the median appears to be 585 millimeters, as it is exactly halfway between 580 and 590.
- For the diameter of automobile tires, the center line is on 840 millimeters.
- The question is asking for the difference of the medians between the bike tires and the automobile tires. You would subtract 840 from 585 to find this. This will get us 255.
- Now we find the ranges of both graphs. The range is subtracting the largest graphed number from the smallest. For bike tires, the range is 621 - 559, which is 62. I am unclear if the person who created the graph intended for the end lines to be one number off. If not, then it would be 60.
- The range for automobile tires would be 881 - 821, which equals 60.
- The question asks for "how many times the difference between the medians of both automobile and bike tires is the range of the bike tires." This is asking us to subtract the combined medians of the graphs to the range of bike tires.
- First, we need to add both medians together. This would be 585 + 840, which equals 1,425. Next, we subtract the range of bike tires, 62, from 1,425. This equals 1,363.
- The question asks how many times the difference is. To find how many times 62 goes into 1,363, we need to divide. 1,363 ÷ 62 = 21.98, which rounds up to 22.
If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.