The document analyzes height and weight data collected from 20 adult males to determine if there is a correlation. Scatter plots, histograms, and box-and-whisker diagrams were used to analyze the data. The analysis found height and weight were strongly correlated, with most males weighing above average and being below average height. However, the data collection method of interviews meant the data may not be fully accurate.

1. By: Thomas B Block: 5 Pre-Calculus (grade 10) Ms. Nazan IB Math Statistics Project

3. Plan: Interview people during breakfast at Slaveiro Hotel in the city of Sao Paulo. Then organize the collected data into a scatter plot, two histograms and two box-and-whisker diagrams, and draw conclusions from them.

5. In order to find intervals for height, the formula 1+3.3*log(n) was used. It yielded the result 5.2, which rounds up to six intervals. This in turn yields an interval width of 5. In order to simplify data analysis, the same interval width was used for both weight and height. Thus, weight has 9 intervals.

6. Class Intervals – Weight (kg) Interval Frequency 55-59 1 60-64 4 65-69 0 70-74 6 75-79 1 80-84 4 85-89 2 90-94 1 95-99 1

7. Class Intervals – Height (cm) Interval Frequency 165-169 3 170-174 3 175-179 11 180-184 2 185-189 0 190-194 1

8. Correlation Coefficient

10. Another piece of information provided by this plot is that height and weight are clustured in the 60-65kg range and the 170-175cm range respectively.

11. Histogram - Weight

13. Most of the sample has a weight in between 55-72 kg, disregarding the 62-65 kg and the 72-77 kg intervals.

14. Data is most densely concentrated (70%) within one standard deviation of the mean, following the rule of a normal distribution. However, since a histogram is a visual representation of data, this claim is refutable.

15. Box-and-Whisker Diagram - Weight

17. The most dispersion in this weight sample is found in the upper quartile, such that data one standard deviation away from the mean is majoritarily placed in the upper quartile.

18. Thus, weights below 72 kg (median) vary much less than weight above 72 kg in adult males over the age of 18.

19. Histogram - Height

21. Data is most densely concentrated within one to the left of the mean, more specifically about one standard deviation below it.

22. More than 50% of the data lies one standard deviation below the mean. Shorter adult males are more common than taller adult males in this sample.

23. Box-and-Whisker Diagram - Height

25. Since the upper quartile is found in the same place as the mean, data is completely clustered roughly one standard deviation below the mean.

26. This shows (again) that there are more adult men below the average height than above it.

28. The analysis of the data found in this sample of twenty male adults indicates that weight is directly correlated with height.

31. People can lie about their height and weight, or simply not know it precisely.

32. Having a measuring tape and a scale to measure these physical aspects is a far more reliable way of collecting information, though it is more time consuming and harder to do (people may be reluctant to get measured).

34. &quot;Class Interval.&quot; Build Your Own Broadband and Phone Package with TalkTalk. Web. 14 Mar. 2011. <http://www.talktalk.co.uk/reference/encyclopaedia/hutchinson/m0026012.html>.

35. &quot;Frequency Distributions.&quot; IRI/LDEO Climate Data Library. Web. 14 Mar. 2011. <http://iridl.ldeo.columbia.edu/dochelp/StatTutorial/Frequency/>.