Statistical Investigation

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Statistical Investigation

All graphs should be attached.

An Investigation into the Relationships between the Heights and

Weights of a Rangeof Studentsat Mayfield High

Aim

I aim to investigate the relationship between the heights and weights

of a range of students from different demographics at "Mayfield High".

Prediction

I.

I predict initially that the average male height will be greater than

the average female height. That is due to biology stating that males

are, on average, taller than females. Not only that, but studies have

shown that a percentage of females will have stopped growing by the

age of fifteen, whilst most males will continue to grow for far longer

than that. However, I predict that due to puberty and its occurrence

often being later than year 7, the male and female heights in year 7

will be much more similar. This I hope to prove via standard

deviation.

II.

Another prediction I make is that year 11 males will be taller and

heavier than year 7 males, as well as year 11 females being taller and

heavier than year 7 females. This I will try to prove by using both

mean and medians.

III.

One more hypothesis I will make is that the range of height and weight

of the year elevens will be greater than that of the year sevens. This

would be due to puberty having different levels of effect on different

subjects, and I can hopefully prove this using cumulative frequency

graphs, interquartile ranges and box plots in conjunction with one

another.

IV.

The simplest and probably most obvious of my predictions is that the

taller a sample is, the heavier they will be, ergo positive

correlation. This should be representable via the gradient of the line

of best fit being positive.

V.

Finally, anyone of a height of less than 0.8m or weight of less than

25kg should be considered an anomaly along with heights of more than

2.

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