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

    456 383 700 666 1008 963 1133 1071 271 39 437 313 783 605 949 973 1130 1027 243 49 512 403 710 616 968 934 1112 1063 229 50 499 346 714 602 912 832 1134 1052 218 107 552 321 784 630 979 890 1180 1100 135 55

  2. Mayfield High School Project

    Mean weight (kg) S.D for weight (kg) 7 Male Female 154 147 12 15 47 43 9 7 8 Male Female 163 155 19 13 49 45 15 7 9 Male Female 168 162 17 13 52 54 6 10 10 Male Female 169 163 31 11 59 51 6 5 11 Male Female 176 164 12

  1. mayfeild statistics

    4 1.65 3 1.67 1 1.68 5 1.69 2 1.7 3 1.71 1 1.72 1 1.73 2 1.75 1 1.76 1 1.78 1 1.79 1 1.8 4 1.84 1 1.85 1 1.88 1 1.97 1 2 2 2.03 1 2.06 1 Weight (Kg)

  2. Statistics Mayfield High

    This is supported by the lengths of the whisker for the boys (the girls have short, clustered whiskers) and the highest values. However the boys' box plot has a very low outlier (possibly due to a student with a learning disorder like dyslexia).

  1. maths coursework-Height and Weight of Pupils and other Mayfield High School investigations

    = 48 kg I will now summarise my results into a clear table. The table shows the estimate mean, mode, median and range of boys and girls and I can easily see the differences. Weight Mean Modal class interval Median Range Boys 51.66 40=w<50 49 43 Girls 53.66 40=w<50, 50=w<60

  2. The hypotheses I have to find out are the following:Boys are taller than girls ...

    1.52 45 Female 19.47714681 8 Kelly Julie 14 1.61 60 Female 23.14725512 8 MacIntosh Halie 14 1.74 49 Female 16.18443652 8 Moloney Erin 24 1.62 51 Female 19.43301326 8 Patel Stephanie 25 1.65 49 Female 17.99816345 8 Spencer Kerry 9 1.59 55 Female 21.75546853 8 Anderson Paul 24 1.67 52

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