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  • Level: GCSE
  • Subject: Maths
  • Essay length: 1340 words

In this coursework I am going to investigate the relationship between the height and weight of girls and boys in year 11 at Mayfield High School.

Extracts from this essay...

Introduction

Mayfield High School- Statistics Coursework In this coursework I am going to investigate the relationship between the height and weight of girls and boys in year 11 at Mayfield High School. I will choose a certain number of boys and girls from the data provided and develop my own data to prove or disprove my hypothesis. I will start by choosing a certain number of boys and girls from the data. There are 170 pupils in year 11, 86 are girls and 84 are boys. I am not going to compare all the girls and boys in year 11 as that would be too many, so I have to work out a suitable number for each gender. I want to test half of each, so I have decided to use every second boy and every second girl from the data. This gives me 43 girls and 42 boys to test. I am aware that there is one more girl than the amount of boys, but by using this method I get a large amount of pupils to test which have been evenly spread out through the data.

Middle

63 93 86 52 80 60 80 63 56 92 58 56 70 45 38 48 60 62 84 59 38 60 37 72 54 76 Name Gender Height (m) Weight (kg) Acton, Jenny Ali, Amera Barlow, Hanah Becher, Heidi Berry, Shelly Bertwistle, Lara Bradbury, Natalie Brown, Amy Brown, Isabella Buyram, Dawn Chen, Sabrina Compass, Sharon Dion, Dawn Dorn, Shelly Feehily, Christina Flawn, Elise Grace, Davina Grot, June Hall, Julie Heap, Louise Hunter, Ingrid Jackson, Debi Kaleem, Humaira Kay, Nadia Kelly, Sarah Khan, Adila Margeus, Nichola McCarthy, Farrah McCreadie, Jenny McMillan, Collen Mitchell, Nikayah Mustaq, Sumreen O'Donall, Megan Peterson, Louise Protrochi, Ivanova Ratty, Louise Shimperd, Felicity Smith, Jean Tazmer, Leigh Tomson, Jade Turner, Louise Warwick, Emma Zarrent, Donna Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female Female 1.67 1.62 1.63 1.72 1.73 1.63 1.69 1.62 1.65 1.65 1.61 1.52 1.68 1.63 1.72 1.62 1.65 1.60 1.63 1.80 1.52 1.68 1.69 1.62 1.55 1.63 1.61 1.59 1.62 1.58 1.73 1.72 1.33 1.65 1.54 1.65 1.52 1.69 1.76 1.52

Conclusion

Again there is moderate correlation, most girls weigh around 40 to 50kg and are mostly 1.6 to 1.8m in height. There was one point that didn't quite fit the correlation, which you can clearly see on my graph as this girl was way shorter than the others. Mean The mean gives an average of a set of data, so I am now going to use the mean to work out the average height and weight for the two genders and again, compare them. Boys Mean Height= 1.71+1.72+1.77+1.86+1.75+1.72+1.62+1.67+1.55+1.78+1.6+1.68+1.62+1.8+1.58+1.85+1.62+1.96+2+1.82+1.94+1.67+1.86+1.68+1.68+1.62+1.68+1.7+1.67+1.92+1.52+1.62+1.67+1.76+2.06+1.63+1.51+2+1.78+1.7+1.84 = 72.69 --------- = 1.7m 42 Mean Weight= 57+63+57+56+60+58+52+50+54+67+38+50+51+72+54+73+63+93+86+52+80+60+80+63+56+92+58+56+70+45+38+48+60+62+84+59+38+60+37+72+54+76 =2554 ------- =60kg 42 Girls Mean Height= 1.67+1.62+1.63+1.72+1.73+1.63+1.69+1.62+1.65+1.65+1.61+1.52+1.68+1.63+1.72+1.62+1.65+1.60+1.63+1.80+1.52+1.68+1.69+1.62+1.55+1.63+1.61+1.59+1.62+1.58+1.73+1.72+1.33+1.65+1.54+1.65+1.52+1.69+1.76+1.52+1.60+1.69+1.67 =70.23 ------- =1.6m 43 Mean Weight= 52+56+44+51+64+47+51+54+66+42+54+38+47+45+60+51+54+48+52+42+44+50+54+42+60+48+45+42+38+48+48+51+55+54+65+59+44+42+56+48+55+50+48 =2164 ------- =50kg 43 As you can see, the average height for boys is 1.7m and the average weight is 60kg. The girls average height is 1.6m and their average weight is 50kg. This shows that my hypothesis is right. As you can see from the pie charts, again my hypothesis is true, the taller boys get the heavier they are compared to girls. I have collected quite a lot of data and it all proves that my hypothesis is true. There are some exceptions to the rule but generally as boys get taller they weigh more than girls.

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