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  • Level: GCSE
  • Subject: Maths
  • Word count: 2782

Mayfield high school

Extracts from this document...

Introduction

Aim

I am going to find out about which year group can do better in KS2.

PilotSampling

To start with I will go to try is it going to work, so I am going to use random sampling. I will choose the people in random to find out about which year group can do better in KS2 and I will also make a graph.

year group

marks

7

4.912281

8

4.5

9

4

10

3.6

11

2.983333

image00.png

In this graph you can see very cleanly that lower year group can do much better than higher year group, but we cannot see the reasons by just look at their results. So now I am going to find out is it about their IQ, is it because in this school lower year group have better IQ.

Hypothesis

I am going to find out and investigate:

  1. can IQ get their results better on KS2
  2. lower year group can do better than higher year group people in KS2

Stratified Sample:

I am going to use stratified sampling to do this project

Year

Boys

Girls

Total

7

(151/1183)×50

=6.382079459

=6

(131/1183)×50

=5.536770921

=6

12

8

(145/1183)×50

=6.128486898

=6

(125/1183)×50

=5.28317836

=5

11

9

(118/1183)×50

=4.987320372

=5

(143/1183)×50

=6.043956044

=6

11

10

(106/1183)×50

=4.480135249

=4

(94/1183)×50

=3.972950127

=4

8

11

(84/1183)×50

=3.550295858

=4

(86/1183)×50

=3.634826712

=4

8

Total: 50

The Method

The method I am going to use is stratified sampling. I am going to take the random sample of the school data and recording their IQ, gender, KS2’s result and year group.

...read more.

Middle

4.18182

9

Female

101

5

4

5

4.6666667

9

Female

112

4

4

4

4

9

Female

113

5

4

5

4.6666667

9

Female

100

5

4

4

4.3333333

9

Female

87

5

4

5

4.6666667

9

Female

116

4

4

4

4

9

Male

114

4

4

4

4

9

Male

69

4

4

3

3.6666667

9

Male

90

5

4

4

4.3333333

9

Male

118

5

4

5

4.6666667

9

Male

101

4

4

4

4

4.27273

10

Female

101

5

5

5

5

10

Female

117

5

5

5

5

10

Female

100

5

5

5

5

10

Female

92

5

5

4

4.6666667

10

Male

99

4

5

5

4.6666667

10

Male

90

5

5

4

4.6666667

10

Male

74

4

5

4

4.3333333

10

Male

91

4

5

5

4.6666667

4.75

11

Female

97

4

6

5

5

11

Female

99

5

5

5

5

11

Female

100

5

5

5

5

11

Female

106

4

5

5

4.6666667

11

Male

14

5

5

5

5

11

Male

83

5

5

5

5

11

Male

104

5

5

5

5

11

Male

100

5

5

5

5

4.95833

There is an error in the yellow box data because it is not possible to have an IQ that is 14, so I will count as an error. This might because when they are doing the data collection, they might input the wrong data. And it might because of the questionnaire confuse him, causing him input the wrong answer. I believe that all the other data is right, because those it come from the exam board.

There is also a way to show data. Such as “Stem and Leaf Diagram”. I am going to do IQ for all those 50 data.

image01.png

This is a good way to show data, because that will not have a big and long list and we can store or find a data fast and easy.


Investigate Hypothesis 1

First I am going investigate what do the got in KS2 and IQ by using a line graph.

All the data have been analysis by using the stratified data.

...read more.

Conclusion

There is some problem with this stratified sampling because it might have too few people on each year. But if I use random sampling I would have equal people on each year, but it will not have an advantage like stratified sampling which is ratio. That can equally find their ratio, because that till be fair to other group of data. Some have less people than other

All those conclusions above might not be right because I am just take samples. To increase the accuracy, I will need to use more people. “The more the people, the more accurate it is.” That mean I will need to use the more data to do it, and I will be able to predict the unknown things better and accurate. There are also a way, is I can create a questionnaire to get my only primary data, because those data is secondary.

Maths Coursework                

...read more.

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