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• Level: GCSE
• Subject: Maths
• Word count: 2985

# Data Exploration of a Single Variable Data.

Extracts from this document...

Introduction

AS-Level Maths Statistics 1 Coursework

## Data Exploration of a Single Variable Data.

Aim

In this coursework I will be looking at how memory differs between males and females of a certain age group and also whether males or females are better at remembering words that are connected by topic. I chose to do this as it has been said that boys are able to remember more information that is connected in some way whereas it is said that girls are better than boys at remembering random things.

Data Collection

I will be aiming this investigation solely at year 10 where the ages are between 14 and 15. To start with I got a list of all the people in year 10 and split them into male and female. Then I counted all of the boy and all of the girls and found the total number of pupils in year 10. To make the test fair I wanted a number equal to the ratio of boys to girls. Then to get the amount of people that I want, I did stratified sampling. To do this I found the ratio of boys to girls to be 124:115 and I wanted 100 pieces of data so I divided the number of boys by the total number of pupils and got:

n of boys          = 124  = 0.52

total number of pupils         239

This means that if I wanted 100 pieces of data then with this ratio I would need 52 boys and 48 girls.

Middle

8

Female

Connected

14

9

Female

Connected

12

10

Female

Connected

8

11

Female

Connected

9

12

Female

Connected

8

13

Female

Connected

10

14

Female

Connected

7

15

Female

Connected

9

16

Female

Connected

14

17

Female

Connected

6

18

Female

Connected

7

19

Female

Connected

10

20

Female

Connected

7

21

Female

Connected

7

22

Female

Connected

6

23

Female

Connected

9

24

Female

Connected

10

Male Unconnected words

 Number Gender Wordlist Score 1 Male Unconnected 7 2 Male Unconnected 7 3 Male Unconnected 9 4 Male Unconnected 6 5 Male Unconnected 9 6 Male Unconnected 7 7 Male Unconnected 8 8 Male Unconnected 8 9 Male Unconnected 7 10 Male Unconnected 6 11 Male Unconnected 7 12 Male Unconnected 7 13 Male Unconnected 7 14 Male Unconnected 8 15 Male Unconnected 10 16 Male Unconnected 9 17 Male Unconnected 7 18 Male Unconnected 5 19 Male Unconnected 4 20 Male Unconnected 5 21 Male Unconnected 9 22 Male Unconnected 7 23 Male Unconnected 6 24 Male Unconnected 6 25 Male Unconnected 8 26 Male Unconnected 7

Male Connected Words

 Number Gender Wordlist Score 1 Male Connected 11 2

Conclusion

To find the variance of a data set:

• Square the deviations ( x - x )2
• Sum the squared deviations ( x - x )2
• Find their mean ( x - x )2

n

Male Connected Words

Var = 4.495

Male Unconnected Words

Var = 1.899

Female Connected Words

Var = 5.821

Female Unconnected Words

Var = 2.472

From the variance you can calculate the standard deviation square rooting the variance. It is square rooted to get a more useful value because where the variance squares the numbers the square root of the standard deviation counteracts this.

_________

sd =         ( x - x )2

n

Male Connected

sd = 2.120

Male Unconnected

sd = 1.378

Female Connected

sd = 2.413

Female Unconnected

sd = 1.572

From the deviance’s and standard deviation you can see that the boys are more consistent as there is a smaller standard deviation.

Evaluation

If I were to the same experiment again I think that I would do it a little differently. I think that I got a little to much data and it took quite a time to process it and collect it. Also I think that I should have had a time limit for people to recall the data as some people didn’t try as hard and maybe if given a time limit would have remembered more words.

I think also that the words I chose for the random ones were not suitable as many of them were connected such as; window and door, computer and calculator, and if the person picked up on this were able to recall more words due to their connectivity. Also another way of modifying this experiment is to do the same wordlist with boys and girls in different schools as this will give a greater scope for investigation.

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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