# Data analysis.

Extracts from this document...

Introduction

Data Analysis

I am going to look at the records taken from Y7, Y8, Y9 and Y10, boys and girls. The two factors I am going to investigate are ability/set and gender and their ability to estimate a straight line and an angle. I will take a sample size of 10% from each year. I am going to base my hypothesis on how ability/set and gender affect a child’s ability to observe and estimate a straight line and an angle.

Evidence:

Before I write my hypothesis I am going to write a small number of my ideas on what affects an individual’s ability to estimate a straight line and a curved line.

1. I think the older the person is the better they estimate.

2. I also think that if the person estimates within a 10% error of the actual length for one of the lines they will be within 10% of the other line.

3. I think that boys will have a greater spread of data than girls.

4. I think the majority of the girls will b within 10% of the median.

The sentences

Middle

Line Error

Percentage Error

10:100

15

2.4

19

10:42

14

1.4

11.1

10:39

13

0.4

3.2

10:82

12

0.6

4.8

10:61

13

0.4

3.2

10:80

15

2.4

19

Total

1.2

10

Year 10 Females – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

10:59 | 16 | 2.4 | 19 |

10:3 | 12 | 0.6 | 4.8 |

10:106 | 24 | 11.4 | 90.5 |

10:73 | 13 | 0.4 | 3.2 |

10:45 | 12 | 0.6 | 4.8 |

10:101 | 15 | 2.4 | 19 |

Total | 3.1 | 32.5 |

Year 9 Males – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

9:33 | 11 | 1.6 | 12.7 |

9:129 | 15 | 2.4 | 19 |

9:53 | 20 | 7.4 | 58.7 |

9:22 | 12 | 0.6 | 4.8 |

9:23 | 13 | 0.4 | 3.2 |

9:105 | 14 | 1.4 | 11.1 |

9:47 | 11 | 1.6 | 12.7 |

9:16 | 13 | 1.4 | 11.1 |

9:116 | 16 | 3.4 | 27 |

Total | 2.4 | 17.7 |

Year 9 Females – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

9:6 | 17 | 4.4 | 35 |

9:79 | 14 | 1.4 | 11.1 |

9:48 | 15 | 2.4 | 19 |

9:84 | 15 | 2.4 | 19 |

9:76 | 13 | 0.4 | 3.2 |

9:136 | 16 | 3.4 | 27.0 |

Total | 2.4 | 9 |

Year 8 Males – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

8:41 | 9 | 3.6 | 28.6 |

8:73 | 11 | 1.6 | 12.7 |

8:23 | 20 | 7.4 | 58.7 |

8:28 | 15 | 2.4 | 19 |

8:3 | 25 | 12.6 | 98 |

8:94 | 15 | 2.4 | 19 |

Total | 11.6 | 39.3 |

Year 8 Females – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

8:40 | 15 | 2.4 | 19 |

8:99 | 15 | 2.4 | 19 |

8:25 | 11 | 1.6 | 12.7 |

8:100 | 15 | 2.4 | 19 |

Total | 2.2 | 17.4 |

Year 7 Males – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

7:131 | 15 | 2.4 | 19 |

7:70 | 13.2 | 0.6 | 4.8 |

7:78 | 15 | 2.4 | 19 |

7:49 | 12 | 0.6 | 4.8 |

7:50 | 50 | 37.4 | 29.6 |

7:67 | 10 | 2.6 | 20.6 |

Total | 7.6 | 60.3 |

Year 7 Females – Line:

Pupil | Line Estimate | Line Error | Percentage Error |

7:8 | 9 | 3.6 | 28.6 |

7:111 | 4 | 8.6 | 68.2 |

7:76 | 12 | 0.6 | 4.8 |

7:32 | 13 | 0.4 | 3.2 |

7:12 | 15 | 2.4 | 19 |

7:11 | 12 | 0.6 | 4.8 |

7:112 | 10 | 2.6 | 20.6 |

Total | 7.6 | 21.3 |

Now that I have calculated the mean for the line estimates I will do the same for the Angle Estimates. After this I will add the mean average errors to a graph to show my results pictorially. All of the results from the Angle tests are shows below:

Tables:

Year 10 Males – Angle:

Pupil |

Conclusion

Although in graph 3 this shows very different results as I have used the Mean Percentage Error to show my results. This shows results can be visibly different if they are pictorially shown differently or if they are worked out in a different way.

Evaluation:

I think my Data Analysis investigation was successful as I was able to obtain the evidence I needed to achieve my Hypothesis. I obtained a great dead of evidence to back my Hypothesis. I used Tables, graphs and many more methods to prove this.

I could have made this investigation better by taking bigger samples from the data book EG taking 20% from each year instead of my original 10%, also I could have backed my results up with Box Plots and cumulative frequency graphs. I have not done this in my current investigation because I have not had enough time. Altogether I think the test was a success as I found good results and made it possible to see them pictorially in my graphs.

This student written piece of work is one of many that can be found in our GCSE Height and Weight of Pupils and other Mayfield High School investigations section.

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