Maths

Statistics Coursework Yr10

Correlation between: The more hours spent in the gym the more amount of weight you will loose.

Explanation on correlation

This is a scatter graph on the following correlation and is a positive correlation between the more hours you will spend in the gym the more weight you will loose. This shows that if people stay healthy then they would weight less. I will now work out the mean, mode and median of certain numbers to prove the correlation and prove that the correlation is correct. I will also be having a stem and leaf diagram and a inter quartile range which will also prove my correlation.

Firstly to prove that my correlation is positive and is correct I will create a stem and leaf diagram which is a diagram that shows data in a systematic way and the mode median and mean can be found easily from this. Once the stem and leaf diagram is created I can then find the average, mean, mode and median of the correlation.

Stem and leaf Diagram

This is the stem and leaf diagram for the correlation between gym hours and weight, finding the mean, mode and median should be much easier now.

Average of Gym hours (D2:D17) =-3.375

Average of weight (E2:E17) = 63.25

That is one way of finding an average to support the correlation between gym hours and weight. Here is another way:

Mode number of gym hours: 14hrs

Mode number of weight: 57

This average is saying spending 14hrs at the gym will make you loose 57 pounds of weight which is supporting my correlation.

Another way that I could use to support my correlation between gym hours and weight. I would find the mean of gym hours and weight:

Mean of gym hours: 10, 12, 14, 14 = 15

Mean of weight: 58, 63, 64, and 65 =62.5

Here it is also saying that in 15hrs at the gym will make you loose 62.5 pounds of weight.

Medium of gym hours :( D2:17) = 2

Medium of weight: (E2:E17) = 63.5

Interquaritle range:

To find the interquartile range of weight:

Lower quartile range on weight:

¼(N+1) =

¼(11+1) =third term=60

Upper quartile range on weight:

¾(N+1) =

¾(11+1) =nine term= 89

Lower quartile range on gym hours:

¼(N+1)

¼(11+1) =third term=10

Upper quartile range on gym hours:

¾(N+1) =

¾(11+1) =nine term=14

We know the average of the correlation and we can now prove that correlation between gym hours and weight is correct that if you spend more time in the gym you will lose more weight. This is because the stem and leaf diagram has made it easier to fine the mean mode and median. I have also found the inter quartile range and now have now proven that the correlation between gym hours and weight is positive and correct.

Correlation between: The less weight you gain the less number of sick days you will have.

Explanation on correlation

This is a following scatter graph on the following correlation and is a positive correlation between the less weights you gain the less number of sick days you will have. The correlation is showing that if people were to gain a certain less amount of weight they would have a less amount of sick days. I am now going to show how I can prove that the following positive correlation is right or wrong by taking the mean median and mode and the average of the correlation. . I will be also having a stem and leaf diagram and an interquaritle range which will also prove my correlation.