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  • Level: GCSE
  • Subject: Maths
  • Word count: 1211

Guesstimate lines and angles

Extracts from this document...

Introduction

Guesstimate Introduction All pupils in Yr7 and Yr10 were asked to guess the length of a line and the size of an angle. I will be looking and investigating the results between the in yr 7 and the results from yr 10. Hypothesis * Age ~ The group of Yr10's may measure the line and angle more accurately because they have been in education for longer and have more practice. * Gender ~ The girls may measure the line more accurately because its proven that girls try harder in schools than boys. Plan The raw data for this experiment has been collected for me, this is called secondary data. If I was to collect the data myself this would be known as primary data. From my raw set of data I will be selecting what results I am going to use by the method of Random sampling. I will be doing this by giving the set of results a number and then from that I will press the 'random' button on the calculator. This will then determine what results to use from the table. I chose this method because I thought it was the fairest, other methods of sampling include: * Systematic sampling - Samples taken in a periodic and regular fashion. ...read more.

Middle

45 Male 8 46 Male 6 55 Calculations I am now going to compare the two sets of data techniques mean, mode, median and range inter-quartile range. By using these methods of calculation I get determine which two year groups and which gender were actually closer to the correct line and angle. Base Line Measurements The actual length of the line was: * Length of line ~ 6.3 cm The actual angle was: * Size of Angle ~ 33? Results Year 7 Results Mean/Standard deviation (std) Mode Gender Angle Line Angle Std Line Std Male 48.9 6.2 9.5 1.5 Female 49.3 6.0 18.3 1.1 Gender Angle Line Male 45.0 5.0 Female 45.0 6.0 Median Range Gender Angle Line Male 46.0 6.0 Female 45.0 6.0 Gender Angle Line Male 35.0 5.5 Female 60.0 4.0 Year 10 results Gender Angle Line Male 45.0 6.0 Female 45.0 5.0 Mean Mode Gender Angle Line Angle Std Line Std Male 50.1 6.2 9.2 1.2 Female 47.7 6.2 9.0 1.8 Median Range Gender Angle Line Male 48.0 6.0 Female 45.0 6.0 Gender Angle Line Male 37.0 4.0 Female 35.0 7.0 Stem and Leaf diagrams This Stem and Leaf diagram shows the size of an angle measured by Year 7 and Year 10 pupils. ...read more.

Conclusion

2 0 < 5 5 < 8 14 < 9+ 15 Line Frequency 0 - 2 0 3 - 5 5 6 - 8 9 9 > 1 Year 7 - Male Angle Frequency 0 - 40 2 41 - 44 0 45 - 50 6 51 - 54 1 55 - 60 6 61 - 65 0 66 > 0 Angle Cumulative Frequency < 40 2 < 44 2 < 50 8 < 54 9 < 60 15 < 65 15 < 66 + 15 Line Cumulative Frequency < 2 0 < 5 6 < 8 14 < 9+ 15 Line Frequency 0 - 2 0 3 - 5 6 6 - 8 8 9 > 1 Conclusion * Hypothesis 1 = Age ~ The group of Yr10's may measure the line and angle more accurately because they have been in education for longer and have more practice. * Hypothesis 1 = Gender ~ The girls may measure the line more accurately because its proven that girls try harder in schools than boys. I found all of these hypotheses to be correct and I used a variety of techniques to determine whether or not they were. I referred back to different findings as I went along. ...read more.

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