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The hours of sunshine decreases as the heights above sea level increase

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Introduction

Coursework: Intermediate Level

Task D

I have studied the question carefully. I will give a prediction on what I feel about it. I will investigate, find evidence, give my results and write up a conclusion stating whether I have proved the statement true or false.

Debbie’s statement reads:

“The hours of sunshine decreases as the heights above sea level increase.”

Prediction

I predict that Debbie’s statement is false because I believe altitude does not have an effect on the hours of sunshine that any part of the earth sees per day. But that answer is based solely on common knowledge, the statistics may prove differently.

Plan

I will analyse each set of data and show them in the form of graphs using mean, mode, median and standard deviation. I will compare the data and after choosing the set of data that I feel shows whether the statement is true or false the clearest, I will present it as neatly as possible in my conclusion without lacking any detail.

Investigation

I will begin my task by finding the average hours of sunshine for each place.

I will use the formula: (X+Y)

...read more.

Middle

9.75 (3sf)

Now that I have the average hours of sunshine (HS*) and the heights above sea level (HASL*) I am capable to use those sets of data on a graph. GRAPH A shows the average HS against the HASL.

It shows that Debbie’s statement is not entirely accurate. If Debbie’s statement were to be perfectly accurate there would be visible negative correlation. Closer inspection proves that there is negative correlation between points at 580m and 1145m, also between points 1728m through to 2875m. However, through points between 1154m and 1728 all we see is positive correlation.

In order to investigate further I have looked into the use of Standard Deviation with my data.

I used the equation:     SD=   X  _    X

                                                X          X

EX1 Using Alice Springs

SD=   1071  _    113image00.png

                                       12            12          

*= Abbreviation. HS= Hours of Sunshine per day HASL= Height Above Sea Level

My results were as follows: -

(All to five significant figures and in numerical order of HASL highest first)

Quito= 2.1316                         Lusaka= 1.7540

Mexico City= 6.6332               Alice Springs= 0.7592        

Windhoek= 9.2646                  San Jose= 5.2757

Johannesburg= 0.7217            

(This data is plotted on GRAPH B)

By studying the set of data above, I have found no pattern to emerge.

...read more.

Conclusion

        My methods, on the whole, worked quite fine. I am pleased with the methods I choose to display my data and I am happy with the accurate results they gave me. The Standard Deviation that I chose to use was useless this time round, but until you use it you do not know if it could have helped you in any way so I am still glad that I used it.

I think that I could have improved my methods by displaying some of them in different forms of graphs etc. Like maybe a bar chart or pie chart if the data was compatible to that type of graph.

        There is no practical use for the method I have found because with the data I was given I was unable to come up with an accurate enough formula or piece of information that could help someone if they wished to try and make a link between height above sea level and hours of sunshine per day.

Andrew Muckles 10c1

27-03-2001

...read more.

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