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• Level: GCSE
• Subject: Maths
• Word count: 1991

# Investigating the height to weight ratio between boys and girls to see how diverse each gender's ratio is if any differentiation.

Extracts from this document...

Introduction

GCSE Maths Coursework – Data Handling

Line of enquiry

I will be investigating the height to weight ratio between boys and girls to see how diverse each gender’s ratio is if any differentiation.

Hypothesis

I believe that the boys are generally taller and heavier than girls.

Collecting the data

The secondary data I was presented with contained the statistics of 100 students, 50 boys and 50 girls. In this project I will take a random sample of 25 boys and 25 girls from the secondary data that has been provided, and record their heights, weights, gender and amount of TV they watch per week for possible further investigation. To randomly select 25 of the students, I used the random function times fifty (amount of students in each gender) and marked each student until I had 25 girls and 25 boys.

Primary Data

Here are two tables (below and next page) of the random sample of each gender and their statistics:

 Males Number Yr Grp Height(m) Weight(kg) Average TV watched per week(hrs) 1 9 1.60 60 42 2 10 1.75 45 14 3 8 1.70 49 9 4 9 1.75 63 15 5 9 1.50 70 17 6 8 1.55 51 10.5 7 8 1.56 40 9 8 11 1.65 54 30 9 9 1.48 40 20 10 7 1.47 41 4 11 8 1.60 41 8 12 9 1.70 47 12 13 7 1.42 40 17 14 8 1.55 68 13 15 9 1.60 40 10 16 7 1.50 40 15 17 8 1.48 26 12 18 11 1.68 56 12 19 11 1.84 78 14 20 11 2.06 84 20 21 9 1.56 53 15 22 10 1.54 54 18 23 7 1.49 35 9 24 7 1.62 45 17 25 7 1.52 42 14 Average: ~ 1.61 50.48 15.06

1

 Females Number Yr Grp Height(m) Weight(kg) Average TV watched per week(hrs) 1 10 1.40 45 10 2 7 1.51 50 14 3 11 1.69 51 20 4 7 1.59 54 20 5 9 1.80 62 6 6 11 1.72 51 10 7 7 1.51 50 16 8 11 1.03 45 5 9 10 1.66 45 12 10 7 1.41 40 10 11 11 1.60 45 38 12 11 1.55 60 38 13 9 1.51 65 7 14 7 1.42 48 7 15 11 1.52 45 19 16 8 1.60 42 8 17 9 1.53 48 18 18 7 1.60 47 19 19 10 1.61 54 17 20 8 1.54 57 22 21 10 1.80 50 15 22 8 1.53 47 15 23 9 1.65 48 20 24 8 1.70 58 18 25 9 1.53 58 20 Average: ~ 1.56 50.6 16.16

Middle

From these scatter graphs I have gathered that the boys in my primary data sample, are generally taller. Although the weight range for girls seems to be a lot smaller than the boys, the average weight for the girls is higher.

3

Frequency polygon for boy’s and girl’s heights

 Males Females ~1.40 0 2 1.41~1.50 5 2 1.51~1.60 11 13 1.61~1.70 5 5 1.71~1.80 2 3 1.81~1.90 1 0 1.90~2.00 0 0 2.01~2.10 1 0

From this chart we can see the mode height for both boys and girls is between 1.51 metres and 1.60 metres. The range of heights is wider for the boys than the girls.

Frequency polygon for boy’s and girl’s weights

 Males Females 21~30 1 0 31~40 6 1 41~50 7 14 51~60 6 8 61~70 3 2 71~80 1 0 81~90 1 0

4

Like the height frequency graph, the mode for both boys and girls is the same. The mode weight is between 41kg and 50kg. Additionally, once again the range of weights is wider for the boys than it is for the girls. To differentiate between the heights to weight ratios properly we have to take into account the year groups.

Extension

There

Conclusion

Conclusion

Summary:

I was first inquiring into the general height to weight ratio between the girls and boys that I was presented with, but the results I got in my scatter graphs were too close for me to come to any sharp conclusion. So I extended my project to look at the height to weight ratio between the boys and girls in the lower half of the school and the boys and girls in the upper half of the school.

Hypothesis:

I found that at in the early years of school the girls are both taller and heavier than boys, which did, in fact, disprove my hypothesis that boys and girls are the same height and weight during the early years of secondary school as an element of the extended hypothesis. Towards the later years in secondary school, boys were both taller and heavier.

Revised hypothesis:

In the earlier years of secondary school girls tend to be taller and heavier than boys, but as the years progress the boys grow taller and heavier than the girls.

By Laurence Osborne

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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