• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

mayfield high. Objective To collect analyse and compare the heights and weights of boy and girl pupils in the year 10 and 11 at mayfield high school.

Extracts from this document...


Joe hughes   maths coursework


Strand 1a   planning  5

           1b  collecting 5

Strand 2a  Analysis  10



          2b  calculations 10

Strand 3 interpretations 10


  • Structured work
  • Clear diagrams
  • Accurate calculations
  • Reasons & explanations

Structured work

  • introduction
  • Question/hypothesis
  • Sampling
  • Display data
  • Comparisons
  • Correlation
  • conclutions

Clear diagrams

Accurate calculations

  • Pie charts
  • Grouped frequency table
  • histograms
  • cumulative frequency plots-box and whisker-IQR
  • Stem and leaf
  • Frequency distributions
  • Standard deviations
  • Scatter graphs- equation of line-correlation-spearmans rank correlation co efficient

 1.   Objective

To collect analyse and compare the heights and weights of boy and girl pupils in the year 10 and 11 at mayfield high school.

If i have time i would like to investigate any statistical relationships betwwen IQ level and height and or weight.

2. Plan

> My investigation is to take a representational sample of data from the 370 year 10 and year 11 pupil database provided and to use statistical methods to quantitively analyse relationships between years and genders.

> My priorety will be height, then weight then IQ data.

>i will tabulate my findings and where possible present that in graphical form for easy interprotations.

3. Specific aims

>To collect a resonable sample of pupil data, using a suitable sampling method.

>To compare gender differences for height using histogram and frequency polygon graphs, and by finding the range and three averages for each sub-group.

>To construct boy/girlheight cumulative frequency graphs for a box and whiskers group distrobution comparisons using inter quartile ranges.

...read more.


5. collecting data

The data is secondary ( not primary because i would need to collect that myself) and is part of the whole mayfiled high school (with lots of fields) available on the internet.

This table shows the number of boys and girls for the two years in which I am interested in.

Since i am interested in gender, heights, weights, and IQ only, the remainder of the fields (except names) can be filtered out.

However this would still leave me with masses of data so in order to reduce this to a manageable style, i will take


I will randomly pick samples from the spread sheet using the stratified random sample method. To avoid bids and ensure that pupils from different years and gender groups are equally represented.

My sample should be in excess of 109 to be realistic, but not so high, go to calculations too complex. I will comprimise 15%

which gets me the following numbers.

My sample data is as shown attached.

6. Representing data

The pie chart below shows the proportional breakdown of year 10 and 11 boys girls, based on.

I have decided to start by comparing boy/girl height. since height is a continuous variable i will need to produce tally tables with grouped class intervals for this purpose.

...read more.


I will draw two scatter graphs, one for year 10, and one for year 11.

These two graphs show a good possative linear

correlation between height and weight, which

backs up my second hypothesis. the lines of

best fit can be drawn, to pass as close as possible

to all parts- although there are exceptional values which fall outside the general trend.

Whilst i could find the predicted height form weigh or vice versa using my graphs, it might be simpler to have an equation.

Any straight line has an equation, Y=MX+C When C is the vertical axis intercept.

M is the gradient or shape of the line.

the equations of my lines are-

Boys H =MW+C

Girls H =MW+C

I can use these to make a prediction e.g for boys weight _______ height______

                                                                   girls weight________ height______

at first glance it appears that _______ have better correlation, ie less offsets, from my lines of best fit.

however i would like to quantify this- using spearmans rank correlation coefficient. this will be ranged from 0 for correlation to 1 for points and straight line (perfect correlation)

To reduce my correlations on year 11 first boys I will eventually do for all sub sectors.

Boy name height-rank and weight-rank  d d2













 girls name height-rank and weight-rank d d2












12         This quantities my ''gut feeling'' since it shows boys with _____ correlation and girls with _____ correlation. (see statistics textbook page 176)

...read more.

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.

Found what you're looking for?

  • Start learning 29% faster today
  • 150,000+ documents available
  • Just £6.99 a month

Not the one? Search for your essay title...
  • Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

See related essaysSee related essays

Related GCSE Height and Weight of Pupils and other Mayfield High School investigations essays

  1. Marked by a teacher

    Height and Weight of Pupils

    50 8 Bertwistle Laura Female 1.40 48 8 Blakely Hayley Female 1.75 50 8 Cassel Diane Female 1.48 46 8 Hilt Sopia Female 1.66 50 8 Holliwell Claire Female 1.60 46 8 Rashid Azrah Female 1.58 72 8 Rooster Hally Female 1.52 52 9 Ali Hannah Female 1.62 52 9

  2. mayfield high statistics coursework

    65 70?w<80 0 75 0 TOTAL 20 895 Mean = 895 divided by 20 = 44.75 rounded off to 45 kg for GIRLS Mean of Boys and Girls Height BOYS Height (cm) Tally Frequency Mid-point Fx 130?h<140 II 2 135 270 140?h<150 0 145 0 150?h<160 IIIIII 6 155 930

  1. Conduct an investigation comparing height and weight from pupils in Mayfield School.

    Mean Modal Class Interval Median Range Boys 154 150 - 160 154 40 Girls 151 150 - 160 156 56 The mean height of the boys is higher than the mean height for the girls; the modal class interval is the same for both boys and girls.

  2. I am going to find out the year 10 male average student at Weavers ...

    P.T.O Hypothesis 3 My hypothesis: I think most students in 2009 will be 60kg as I am 50kg and most students are heavier than me. I think students in 1996 will weigh less than 60 kg as they are less tall therefore weigh less 2009 Mean (before finding outliers)

  1. HYPOTHESIS: Boys at Mayfield School are Taller and Weigh more average in comparison to ...

    For the sample there is an even distribution of data. The middle group has the highest frequency which is expected. Girls Heights These Representations of Data shows admirably that the average height is 150 to 159 which I believe is slightly above average in my honest opinion for my sample

  2. Mayfield High School

    I will now go in depth to show that the next hypothesis is correct. I will draw more graphs so that I could have more to support my second hypothesis. Hypothesis Two- "Year 10's have a better Ks2 Results and higher IQ than Year" Mean, Median & Mode of Grouped

  1. I will be testing the following hypothesis in my pilot study: ...

    Hypothesis 2 I am going to investigate how the number of hours of television watched affects the weight of a person. I think that the greater the number of hours spent watching television per week, the greater the weight of the person.

  2. Maths Courswork - Mayfield High School

    Whilst I collect my data, I will input it into a tally table and count the frequencies so it will be easier to calculate the data.

  • Over 160,000 pieces
    of student written work
  • Annotated by
    experienced teachers
  • Ideas and feedback to
    improve your own work