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  • Level: GCSE
  • Subject: Maths
  • Word count: 1491

Compare the average boy to the average girl.

Extracts from this document...

Introduction

Introduction

In my coursework I have been given the task to collect and process data from thirty randomised boys and thirty randomised girls this is to compare the average boy to the average girl. And to make hypotheses on all the data gathered to see if I am correct if my judgement was correct.

So how did we collect our data?

We all had a sheet given to us with fifty Boys and fifty Girls data on. We had to pick thirty boys and girls out of the fifty using randomised numbers. Then we would select what kind of topics we would want to analyse.

When found the data what did we do with it?

We had a number of jobs to do:

  • We had to gather the data and record it.
  • Process the different data and group it
  • After grouping the data we had to put them into graphs for further analyse, We used a number of different graphs including Pie charts, Bar charts cumulative frequency tables and more.

...read more.

Middle

5

102

12

101

20

91

20

88

4

90

28

83

48

109

12

110

15

100

35

88

48

104

30

98

17

102

11

Girls Scatter Chart

IQ

Average no. of TV watched per week

112

3

98

30

102

36

90

26

100

24

99

28

96

14

116

26

101

15

100

24

101

10

103

14

110

14

103

14

116

70

115

10

100

28

103

16

116

70

115

10

100

28

103

16

94

20

107

9

93

25

96

20

100

17

104

14

113

2

105

6

The scatter graph is on the following page.

Having completed the scatter graph, I found there is a small relationship between the boys IQ & the number of hours TV watched per week. The girl’s data did not really show a relationship. The boy’s data shows a weak negative correlation explaining that the less TV watched the higher the persons IQ. I predicted this would happen to both sets of gender, but the girl’s data didn’t show a correlation.

The most TV watched by a girl per week was 70 hours; the most by a boy was 48. The highest IQ achieved by a girl was 120; the highest from a boy was 130. Ironically the highest scores (120 &130) showed they watched very little television.

3. Next I will be analysing the Boys & Girls means of transport to school. To do this I will input the data into a pie chart. The data field I will be using is the “Means to travel to school” field. I would hope that the majority of Boys & Girls travel to school by car or they walk. In order to produce a pie chart I must complete a table showing the different means of travel and how many people use them.

Boys Travel chart

Means of transport

Tally

Frequency

Percentage %

Walk

IIII IIII

8

27

Bus

IIII IIII IIII I

13

43

Tram

IIII

4

13

Combination

II

2

7

Bike

III

3

10

Car

...read more.

Conclusion

2

Baseball

II

2

Netball

IIII III

7

Tennis

II

2

Athletics

II

2

The histogram is shown on the next page.

  1. For my final piece, I will calculate the mean, median and mode weight for the both the boys and girls and the boys and girls combined. I find the best way to do this is to put the boys and girls weights into a stem and leaf table. I predict that the boy’s average weight will be higher than the girls will, as with the median.

Boy’s stem and leaf table

Weight (kg)   Boys actual weight

                        4 0,5,7,9        

                        5 0,0,0,0,0,2,4,4,5,5,6,7

                        6 0,0,0,2,3,6,6,8

                        7 2,2,6,8

                        8 0,0,

Girls stem and leaf table

Weight (kg)    Girls actual weightimage00.png

                        3 5,6,6

                        4 2,5,5,5,5,8,8,8

                        5 0,0,0,1,2,4,4,4,5,5,5,6,6,8,8,

                        6 0,0,5,6        

Having looked at the data I can calculate that the:

Boys Mean weight                =        59.2 kg

Boys Median weight                =        56 kg

Boys Mode weight                =        50 kg

Girls Mean weight                =        51 kg

Girls Median weight                =        52 kg

Girls Mode weight                =        45 kg

Conclusion

Overall, I think my hypotheses throughout the coursework have been proven correct minor a few results. I rightly predicted that the boys would be taller than the girls, that the main means of transport for girls would be by car, that the boy’s favourite sport would be football and the girls Netball. A few anomalous results meant some predictions were slightly off, but overall I feel it has been a good investigating.

Sean Melody

...read more.

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