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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.

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

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 weight

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

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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