• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month
Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  8. 8
    8
  9. 9
    9
  10. 10
    10
  11. 11
    11
  12. 12
    12
  • Level: GCSE
  • Subject: Maths
  • Word count: 1488

Mayfield High. From my scientific knowledge I know that at KS3 girls grow faster than boys. I will check this by drawing a frequency table.

Extracts from this document...

Introduction

Pilot Test

The preliminary test above gives us a rough idea about the pupils. To do this I used systematic sampling. This is done by starting with a random sample and selecting every nth number after another. In my case I used every second number of my sample. I will use this pilot test  to determine the reliability of the data as the data is a secondary source. It has a slight positive correlation. This shows me that the data is more likely to be reliable. image01.png

Hypothesis 1

From my scientific knowledge I know that at KS3 girls grow faster than boys. I  will check this by drawing a frequency table. I will then draw a histogram for boys and girls, then a cumulative frequency graph with a box plot which contains the data for both boys and girls. Using this information I can then analyse and confirm if my hypothesis is wrong or right.

I will use a grouped a frequency table because it makes the data organised. However the disadvantage of using a frequency table is that we lose accuracy as we have grouped the data.

Key Stage 3 Girl’s Height

...read more.

Middle

Variance = 0.01991

The mean of the girls’ height is 1.56. The mean of the boys’ 1.58. These are only estimates because they are rounded and the values are different. I rounded these answers to 2 decimal places.  The mean shows me that KS3 boys are taller than KS3 girls.  

image02.png

The histogram above is for KS3 girls. The highest height of the bar for girls is between 1.60m and 1.65m. This tells me that most KS3 girls height is between 1.60m and 1.65m. There are 9 girls that are that are that height.. The lowest height of bars are between 1.70m and 1.80m. There is 1 girl for both of those heights.

image03.png

The histogram above are for KS3 boys. The highest height of the bar is between 1.50m and 1.55m. There are 7 boys which are this height. There re a few bars which have values which are 0. This shows that the heights are varied.


Cumulative Frequency For KS3

image04.png

The cumulative frequency graph and box plot I can compare the results and fully verify my hypothesis.

Using the graph I obtained these statistics for KS3 Girls:

Mode:                                  1.60-1.65m

Range:                          0.4m

Lower Quartile:                   1.48m

Median:                          1.58m

Upper Quartile:                   1.63m        

Interquartile Range:                  1.63-1.48=0.15m

Q1 -1.5xIQR:                1.705

Q3+1.5xIQR:                1.855

...read more.

Conclusion

organised. However the disadvantage of using a frequency table is that we lose accuracy as we have grouped the data.

Key Stage 4 Girls’ Height

Table of Values of Histogram [Key Stage 4 Girl's Height]:

Class Int.        Mid. Int. (x)        Class Width        Freq.        Cum. Freq.

1.4 = x < 1.45        1.425        0.05        1        1

1.45 = x < 1.5        1.475        0.05        0        1

1.5 = x < 1.55        1.525        0.05        1        2

1.55 = x < 1.6        1.575        0.05        4        6

1.6 = x < 1.65        1.625        0.05        3        9

1.65 = x < 1.7        1.675        0.05        2        11

1.7 = x < 1.75        1.725        0.05        1        12

1.75 = x < 1.8        1.775        0.05        1        13

f = 13

fx = 20.97

fx² = 33.94

Mean = 1.613

Standard Deviation = 0.08583

Variance = 0.007367

Key Stage 4 Boys’ Height

Table of Values of Histogram [Key Stage 4 Boy's Height]:

Class Int.        Mid. Int. (x)        Class Width        Freq.        Cum. Freq.

1.5 = x < 1.55        1.525        0.05        1        1

1.55 = x < 1.6        1.575        0.05        0        1

1.6 = x < 1.65        1.625        0.05        1        2

1.65 = x < 1.7        1.675        0.05        2        4

1.7 = x < 1.75        1.725        0.05        1        5

1.75 = x < 1.8        1.775        0.05        5        10

1.8 = x < 1.85        1.825        0.05        2        12

1.85 = x < 1.9        1.875        0.05        1        13

1.9 = x < 1.95        1.925        0.05        1        14

f = 14

fx = 24.55

fx² = 43.19

Mean = 1.754

Standard Deviation = 0.09949

Variance = 0.009898


image00.png

image06.pngimage07.png


Key Stage 4 Boy’s Height

image08.png


image09.png

Height & Weight of  all Boys

Height & Weight of all Girls

The scatter diagram above is for all girls in Mayfield high. It shows a strong positive correlation between the height and weight of all girls. The equation of the line of best fit is y= 20.54+ 37.5. The centroid of all my points lies on the co-ordinates (1.584,49.32).  The positive correlation shows that the taller you are the heavier you are. The above strong correlation confirms my third hypothesis saying the taller you are the heavier you are.

...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. mayfield high statistics coursework

    = 18 Hours Average Hours of TV watched by a student in my sample is 18 Hours From this particular presentation of data I have come to find that over 50 percent of Students watch more TV than the average that I have found of my sample after producing a mean frequency table.

  2. Mayfield. HYPOTHESIS 1: Boys at Mayfield School are Taller and Weigh more on ...

    I will now begin to investigate the hypothesis that I have chosen to the fullest extent possible I will first begin by producing frequency tables to firstly find the mean and the average IQ Level of the Data that I have chosen and also the average number of hours of TV watched per student.

  1. I would like to know whether there is a link between ability in Maths ...

    Male 5 4 7 Male 5 5 7 Male 5 5 7 Male 5 5 7 Male 5 4 7 Male 5 5 7 Male 5 5 7 Male 5 3 7 Male 5 5 7 Male 5 5 7 Male 5 5 7 Male 5 4 7 Male 5

  2. Mayfield High Statistics Coursework

    cumulative frequency diagram for both girls and boys heights as this will help me gain vital evidence towards forming my conclusion of the hypothesis. Boys Height Height (m) Cumulative frequency Less than 1.30 1 Less than 1.40 2 Less than 1.50 4 Less than 1.60 21 Less than 1.70 35

  1. Statistics Mayfield High

    On the other hand, a high KS2 result and low IQ could suggest a lot of revision for an exam. The PMCC for the Females is larger than the PMCC for the Males which shows that there is a stronger relationship between the Female IQs and KS2 Maths results than between the Male IQs and KS2 Maths results.

  2. Mayfield High School

    It has a strong positive correlation which shows the greater the IQ, the greater the Key Stage 2 Maths results will be. The R� value of 0.8692 indicates that 87% of the Key Stage 2 Maths results are affected by the IQ.

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

    The graph also gives me an indication of this correlation. This shows that there is a relationship between the two and that there is a line of enquiry to investigate further. The relationship is that the height of a student reflects its weight and therefore this supports my hypothesis as it is proving to be correct.

  2. There will be a positive correlation between height and weight.The spread of boys' height ...

    To answer this hypothesis I used the computer program called Autograph to draw a scatter graph, plotting height in metres on the x-axis and weight in kg on the y-axis. My graph shows that there is a reasonably strong positive correlation between height and weight.

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