How could I figure out which circle graph (out of a selection of answers) represents the data set I have been given? My data set: Dog: 10 Cat: 5 Fish: 5
I just want to check HOW to solve it. I think I have to:
1.) Turn the data into fractions
2.) Turn the fractions into decimals
3.) Multiply each decimal by 360 degrees and get the degrees for each.
4.) Measure each circle graph I have in my selection and see which one matches up with my calculations.
Is this correct? Please let me know how to correctly solve it. I just wanted to check because it doesn't cover this part in my lesson book.
I would skip part 2 of going to decimals
e.g. cat fraction = 5/20 = 1/4
so you need 1/4 of 360° or 90° for the cat part
going to decimals yields the same result:
cat fraction = 1/4
1/4 = .25
.25(360) = 90
Okay, thank you Reiny. I appreciate the information.
You are correct in your approach to solving this problem. Here is a step-by-step guide to determine which circle graph represents the given data set:
1. Turn the data into fractions:
- Dog: 10 (out of 10+5+5) = 10/20 = 1/2
- Cat: 5 (out of 10+5+5) = 5/20 = 1/4
- Fish: 5 (out of 10+5+5) = 5/20 = 1/4
2. Turn the fractions into decimals:
- Dog: 1/2 = 0.5
- Cat: 1/4 = 0.25
- Fish: 1/4 = 0.25
3. Multiply each decimal by 360 degrees to get the degrees for each category:
- Dog: 0.5 * 360 = 180 degrees
- Cat: 0.25 * 360 = 90 degrees
- Fish: 0.25 * 360 = 90 degrees
4. Measure each circle graph in your selection and compare with your calculations:
- Measure the size of the sector representing Dogs in each circle graph and check if it matches the calculated 180 degrees.
- Similarly, measure the sizes of the sectors representing Cats and Fish in each circle graph and compare with the calculated 90 degrees for each.
By following these steps, you should be able to determine which circle graph accurately represents the given data set.