Maths - Statistics

3. Hypothesis

1. I think boys will be taller than girls
2. I think boys will be heavier than girls
3. I think girls will have smaller feet than boys
4. I think girls will have a smaller span than boys

4. Boy’s Data

5. Girl’s Data

6.  Conclusion

             1.I conclude that my hypothesis was correct and boys are indeed taller than girls. I did this by calculating the means of the heights for both Boys + Girls.

            2 .In my hypothesis in which I thought boys would be heavier than girls I was proven wrong; girls are in fact heavier than boys. I worked this out by calculating means as I did before.

             3.In my prediction in which I said girls would have smaller feet than boys, my prediction was incorrect; girls have bigger feet than boys. I calculated this the same way as I did previously.

             4. In the statement I wished to investigate in which I said girls would have smaller spans than boys. I was incorrect; girls have larger spans than boys. I calculated this the same way as before.

7. Stem and leaf diagrams

Height

I hypothesize that girls will have a more spread out data than the boys but the boys will have a higher median.

Girls

Boys

 

Conclusion

My prediction was correct the girl’s data was in fact more spread out than the boy’s data but the boys had a higher median.

Weight

I hypothesize that the boy’s data will be more spread out and boys will have a higher median.

Girls

Boys

Conclusion

I was incorrect with my hypothesis and the girl’s data is more spread out and has a higher median than the boy’s data.

10. Box plots

Hypothesis

Weight

I hypothesize that the boy’s data will be evenly spread out. I also think that the girl’s data will not be spread out as much. I think boy will have a higher I.Q.R than girls

Height

I predict that the girl’s data will be spread out evenly. I also think that the boys data will not be as evenly spread out. I think boys will have a higher median than girls and I think that girls will have a higher I.Q.R

Conclusion

Weight (See 8.)

I was incorrect with my prediction the girl’s data was more spread out than the boys. I was however correct about the girls having a higher median. I was incorrect about girls having a higher I.Q.R

Height (See 9.)

My hypothesis about the spread of data for heights was correct. I was also correct that boys have a higher median than girls. I was also correct about girls having a higher I.Q.R than boys.

12. Comparing data

Hypothesis

I predict that the results from the whole data will be more precise and correct than the sample data. I think that none of the data will be the same.

Height

Males

Whole data - 8265/55 = 150.8cm

Sample data = 150.46cm

Females

Whole data -10415/69 = 150.9cm

Sample data = 149cm

Weight

Males

    Whole data - 2475/55 = 45kg

Sample data = 42.8kg

Females

Whole data - 3285/69 = 47.6kg

Sample data = 46kg

Conclusion

My hypothesis was correct; the data was not the same. However the data was very close in some parts and this shows that using a sample method is nearly just as accurate as using the whole data.