# My first hypothesis is that school pupils can estimate the length of a line, in millimeters, better than the size of an angle, in degrees. Plan for collecting dataTo see if my hypothesis is true I am going to have to support it with data

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Introduction

Chloe McCloskey

First Hypothesis

My first hypothesis is that school pupils can estimate the length of a line, in millimeters, better than the size of an angle, in degrees.

Plan for collecting data

To see if my hypothesis is true I am going to have to support it with data. The first aspect I had to consider was whether to collect primary or secondary data. I decided to collect them both, as then I will have a variety of data to compare. Then mainly I had to think what data would suggest that my hypothesis is true.

My plan is to collect data on people estimating a line and an angle. I did a pilot study to find the best way of asking people to estimate. I learnt that I should ask people to write their estimates down otherwise other people may be influenced from their answer making the data would be biased. This also made me come to the decision to ask the people specifically to estimate in millimeters so the data I collected was in the same unit. I will deal with non-response by using the mean value of the whole population as its value.

From this I will need to find the percentage error otherwise I won’t be able to compare my results on which is estimated the best.

Middle

40

10

35

35

67

9

35

55

166

7

20

35

55

11

54

36

72

8

100

45

122

8

50

270

64

9

50

45

102

7

60

45

132

9

38

45

9

11

50

50

Median:

40

45

*Non – response data so used mean of the whole population.

I will calculate the median as the average because it didn’t take the anomalies in the data into account.

## An Unequal Histogram to show the distribution of people estimating a Line.

Estimate of line (mm) | Number of people | Width | Frequency Density |

5 ≤ e < 25 | 3 | 20 | 0.15 |

25 ≤ e < 40 | 9 | 15 | 0.6 |

40 ≤ e < 45 | 5 | 5 | 1 |

45 ≤ e < 55 | 11 | 10 | 1.1 |

55 ≤ e < 100 | 2 | 45 | 0.04 |

See Diagram (1)

## An Unequal Histogram to show the distribution of people estimating an Angle.

Estimate of Angle ( º) | Number of people | Width |

Conclusion

If I were to rely fully on this investigation to draw specific conclusions on my population I would need more reliable results and so therefore would need to take a bigger sample size, this would also decrease the effect that extreme values have on the sample. Another aspect affecting the reliability of the data to provide evidence for the population is the fact that individuals in the sample didn’t all consider their estimations with the same contemplation (i.e. some people took it more seriously and took more time over it than others). This could be prevented in future samples by perhaps giving short time limits in the estimation periods.

One good aspect of the investigation was the efficiency at which I collected the results, along with the preliminary experiment providing a good basis for the actual one. The range of methods I used to manipulate the data was also a success.

As an extension to my investigation I could extend the tested population to all age groups and gather data as to how well they can estimate the area or volume of an object as well as lines and angles. This would involve the collection of a lot more data.

All in all I think the investigation was very successful as I got conclusive results within my sample, which provided me with a good insight into the estimations of lines and angles. I enjoyed it very much!!!!!!! COOL AND FUN!!!! Hahahaha.

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This student written piece of work is one of many that can be found in our AS and A Level Probability & Statistics section.

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