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

Investigating the hypotheses - "Secondary school students grow taller as they grow older" and "Female secondary school students grow taller earlier before their male counterparts"

Extracts from this document...





Hypothesis 1 "Secondary school students grow taller as they grow older"

Hypothesis 2: "Female secondary school students grow taller earlier before their male counterparts"

Course of action (COA):

(This is how I’m going to prove the above)

To investigate the stated hypothesis, data regarding heights of students in various year groups was collected. This data was then separated into year groups and further into gender. This data was then randomly sampled and 40 items of data were selected from each year group, 20 from the male group and 20 from the female group.

total randomly sampled data items = 5 * 40 =200.


You have to show that you understand that these values are ‘estimates’. For example the mean average of height for males in year 7 which we calculate after grouping the data will not be the same as the value if you add all the heights together and divide by how many you have. This is because of grouping the data. The thing is, we have to do this because of the shear volume of data we have. It is not feasible to do the former ( add them all together).

...read more.


Mode: The value that occurs to most, which frequency is the highest, that is your modal interval, the midpoint is taken as the mode. So for year 7, all, highest frequency is 16, interval 150-159.  The mode is taken as 154.5. This shows that the averages are similar, so they are concurrent, so they backup my calculations.

Range:  shows you the range of data. Highest value – Lowest value.

Inter Quartile Range = UpperQuartile – LowerQ

Lower Quartile = ¼ of the way along value. 25th percentile. Y7, all =

Upper Quartile = ¾ of the way along value. Or the 75th percentile.

* using c.f.  graphs UQ & LQ determined and the IQR calculated to determine box and whisker plots drawn as well seperate sheet

  • standard deviation also calculated upon each set.  (put on same sheet as mean median)

standered deviation : is the amount by which the heights deviate which means spread out from the mean. So the higher the sd, the more the heights are spread from the mean.

  • % change of median height in each year group -- new sheet and with that draw pie charts of these.

...read more.




Sigma fx / n

IQR = Upper Quartile - Lower Quartile.


6000 / 40

UQ = the value 3/4 of the way along the group.

10th position

140-149 = 144.5


LQ= the value 1/4 of the way along the group.

30th position


Median = 1/2 way along.


(n + 1) / 2

41 / 2

20.5 value

sd = sqr_root(((sigma fx^2)/f) - mean^2)


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

    proving my hypothesis also this data will help me find the spread and the average of the data which will be helpful throughout this portfolio: Boys: Height Mean 1.38 + 1.61 + 1.63 + 1.50 + 1.53 + 1.82 + 1.62 + 1.38 + 1.63 + 1.53 + 1.61 +

  2. Is there a difference between male and female conversational styles in today's society?

    Here the filled pause occurred because the speaker struggled to keep the conversation flowing so used the filled pause to regain speech. * Repetitions Either of a single word or several words at a time As the topic of the conversation was love and arranged marriages, throughout the conversations the abstract noun 'love' and the noun phrase 'arranged marriage' appeared.

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

    Positive More than the mean Negative Less than the mean Zero Equal to the mean 5. Minimum, lower quartile, median, upper quartile, inter-quartile range and maximum for weights (or heights). * Inter-quartile Range - This is also a measure of spread but looks at the spread of the middle 50% of the data around the median.

  2. Statistics coursework - hypotheses based on students statistics

    Total number of students: 1183 Year 11 Year 10 Year 9 Year 8 Year 7 Female 86 94 143 125 131 Male 84 106 118 145 151 Total 170 200 261 270 282 As shown above the total amount of students in the entire sample is 1183.

  1. Hypothesis"The taller you are, the bigger is your foot length". I think my hypothesis ...

    F 14 170 24 871 M 14 176 30 797 M 14 165 22 626 F 14 155 21 623 F 14 172 25 674 F 14 154 23 591 F 14 180 25 646 F 14 171 24 698 F 14 154 23 572 F 14 166 24 742

  2. Mayfield High School Project

    I have decided to look at each year group in more detail, however I am only going to write up an example using year 9 female pupils as I do not feel it is necessary for me to show each one in full.

  1. How the mass and height of the pupils differ from each other in different ...

    The only real problem I can foresee is the anomalies providing inaccuracies in my graphs. Also the data collected is secondary data and therefore there is no real way of knowing if it is reliable or not as I did not collect it myself.

  2. mayfeild statistics

    Averages I will start off by working out the averages. The three most common ways are to work out the mean, median and mode so I will do this. Mean The mean is worked out by adding all the list of numbers and then dividing it by the quantity.

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