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# I believe that year 10 pupils will be better at estimating the length of a stick than year 7 pupils are.

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Introduction

## Hypothesis

I believe that year 10 pupils will be better at estimating the length of a stick than year 7 pupils are.  I think this because year 10 pupils have more experience, and also I fell I was better at estimating in year 10 than I was in year 7.

## Plan

All my data in my experiment was collected for me.  A teacher went into every class in years 7 and 10 and held up a stick of 1.36m horizontally.  The pupils then had to estimate how long they though that stick was.  The only piece of information that the pupils were given was that a door is about 2 meters high.

To see if the year 10’s are better than the year 7’s are at estimating length I will work out the mean, median, mode and standard deviation.  I will then draw tables and graph for year 10 and year 7.  I have to make sure that I take an equal sample of both year 7 and year 10; I will take a random sample of 20% of each year.

Middle

3

13

1.20

4

20

1.50

5

23

4.00

6

27

1.40

7

35

1.25

8

37

1.35

9

40

1.30

10

41

1.75

11

43

1.34

12

44

1.50

13

50

1.30

14

51

1.00

15

64

1.25

16

71

0.95

17

85

1.45

Girls

93     x   36    =  19

180

 Number Length 1 89 1.50 2 90 1.15 3 91 4.80 4 98 1.50 5 101 1.50 6 103 1.80 7 109 1.70 8 110 1.75 9 111 1.75 10 114 1.50 11 115 1.58 12 128 1.70 13 133 1.50 14 136 1.38 15 142 1.25 16 156 1.52 17 160 1.25 18 176 1.20 19 178 1.05

## Finding the mean, median and mode

Year 7

Estimation of Length

### Frequency

Midpoint

FX

0.00   L   1.20

7

0.6

4.2

1.20   L   1.40

6

1.3

7.8

1.40   L   1.60

23

1.5

34.5

Total Frequency  =                36

Total  FX        =                    46.5

#### Mean

46.5     =    1.291666667

36

mean = 1.29 m

### The modal class is : 1.40 L 1.60

#### Median

The median is found in the class interval 1.40  L  1.60

#### Range

1.60 – 0.50  = 1.10

Conclusion

I conclude that the year 7’s in this case were better at estimating length than the year 10’s were.  This however could change if the sampling were to be done again.

Evaluation

I think that I produced a valid and suitable investigation.  I made sure that all my sampling was done fairly and randomly.  I also took into consideration my aim throughout my experiment so that I could perform it suitably.

I feel there are things that could have been done to improve my investigation.  I think that when gathering the information pupils could have been asked to do this separately as they might have copied what someone else had put.  From the data values u can see that some people just put down the height that they were told a door was.  This could have maybe could have been stopped If they were also told they weren’t allowed to put down the height of a door as their answer.  This is what I would do if the data was collected and processed all over again.

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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