# Is there a relationship between your weight and your Physical Health?

Our group in Algebra 1 is researching whether or not your weight can affect you physical health. We went around the school asking 9th graders and 8th graders to fill out our survey without their name so that they wouldn't be uncomfortable answering our questions. Our survey asked them to fill out their age, grade, weight, amount of laps they can run, push-ups, types sports they play, and how many hours of physical activities they have per week etc.  After we got the students weight and height we calculated their BMI. We created box plots, scatter plots, residuals, and graphs in order to prove whether or not your weight can affect your physical health.

# BMI VS Laps

General statements:
1. This scatter plot proves that your BMI does not affect the amount of laps you can complete. We know this because the data is scattered and has about correlation coefficient of less then 0.

2. When a students had a BMI of 55 the  completed about 23 laps and when a student had a BMI of about 30 they also completed about 23 laps. Therefore, your weight/BMI has no affect on your physical health.

3. We used a scatter plot because the data was more clear. With a scatter plot you have the y and x axis and you can compare the girls weights to the amount of laps. With this graph we can compare girls weights and the amount of laps they did.

General Statements:

1. Having a higher BMI does not affect the amount of laps you can because when you see the amount of laps a students could do with a high BMI it is sometimes about the same with someone with a lower BMI.

2. A student with the BMI of 45 completed about 23 laps and a students with a BMI of about 19 completed the about the same amount of laps. Therefore your weight has no affect on the amount of laps

# Laps V.S. Weight

General statements:

1. A student in the 9th grade weighed about 180 pounds and did about 20 push-ups. A girl who weighed about 120 pounds also did around 20 push-ups therefore their is no relationship between weight and physical health.

2.  A student who weighed about 12o pounds did around 15 push-ups and another girl who weighed around the same weight did 55 push-ups this proves that their is no relationship between weight and physical health, because two girls with about the same weight did different amount of push-ups.

General statements:
1. A student in the 8th grade that weighed about 130 was able to do 15 laps during gym, another student that weighed 130 pounds was able to do more then 15 laps. This proves that your weight does not affect the amount of laps you run. So their is no relationship between weight and physical health.

2. A 8th grade student that weighed around 90 pounds did about 15 laps, another student that weighed around 100 did the same amount. This helps us prove that your weight does not affect the amount of laps you do. People that weighed the same amount did different amount of laps.

# Junk Food Data for 8th & 9th grade Students

Generally, when people eat to much junk food on a daily basis they start gaining weight which can lead to problems with your physical health for instance Diabetes

General  Statements:
1.  Of the 100% students 67.74% students eat junk food on a daily basis. 34.96% more 9th graders eat junk food on a daily basis.

2.  45.89% more students eat junk food then the students who don't. Only 32.25% of the students surveyed don't eat junk food on a daily basis.

3.  Of the 32.25% of the students who said they didn't eat junk food everyday only 9.67% 8th graders don't eat junk food everyday.

# Physical Activities

General Statements:

2. In total more 9th graders play sports than 8th graders. Of the 100% students surveyed 51.14% 9th graders do after school sports. 48.86% 8th graders play after school sports. Usually when you are older you weigh more then someone who is younger. Although the 8th graders are younger 9th graders play more, and do more physical activities.

3. 55.6% 9th graders do swimming as a after school sport and 44.4% 8th graders do swimming. These two are fairly close therefore your age and weight doesn't affect your physical activity.

4. We decided to make a categorical table because with this table we could compare the 8th and 9th graders and what sports they play. This kind of table  helps us know how many more 8th or 9th graders play a sport. This allowed us to compare the 8th and 9th graders individaully by columns.

# Push-ups V.S. Weight

General Statements:

1. Many 9th grade students that weighed from about 100 pounds to 180 pounds did about 15 push-ups which proves that even with a whole variety of weights they each did about 15 pushups which means their is no relationship between weight and push-ups.

2. Their is also no relationship, because the scatter plot is very scattered and does not fit a correlation coefficient of 1.00 . Also the girls that weighed from 90 to about 115 stayed in the same range of push-ups. They did about 0-5 push-ups. The average amount of push-ups a 9th grader could do, according to the data, was about 15. This also proves their is no relationship between weight and push-ups.

3.  We decided to use a dot plot to represent our symmetriacal 9th grade data because you can find the mean which is the best measure of center for symmetrical data easily because the mean is in the middle of the data. The mean is also much easier to find because it is located in the middle of the data while the median is more difficult to find because its location varies. The mean for this data is about 15 push-ups this shows the average amount of push-ups a 9th grader can do. The standard deviation for this data is 2.46 .

General Statements:

1. Weight does not affect the amount of push-ups you do because the answers all very. In our 8th grade survey girls of different weights from the range of 140 to 120 pounds all did 9 push-ups. Which goes to show that you can be heavier then the person next to you but still do more push-ups or run more laps.

2. A student that weighed around 100 pounds was only able to complete 2 push-ups, and a students that weighed around 160 pounds also did the same amount. This also shows that even if you weigh less it does not mean you can complete more push-ups then someone who weighs more. So in conclusion your weight  does not affect the number of push-ups you can do. The students surveyed Therefore, their is not a relationship between your weight and physical activity.

3. We used a box plot because the data that we took for the 8th graders was skewed. When data is skewed you have to use the median to find the best center of fit. The median in skewed data is more central to the data because outliers could affect. In the 8th graders survey we had many outliers therefore we had to use a box plot. The majority of the 8th graders were able to do between 3-9 push-ups or in other words an interquartile range of about 5 and 1/2.