"Males in the 11-18years age range will guess the angles and lengths better than females in the 30+years age range."

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We have been given a task to work with the statistical side of maths.

We were told that a random sample of one hundred and fifty people were asked to estimate the degree of an angle which looked like this:

Also each person was asked to estimate the length of a line which looked something like this:

From this we were asked to think about what sort of conclusions we could give for the analysed results.  I thought about this and came up with the following hypothesis:

“Males in the 11-18years age range will guess the angles and lengths better than females in the 30+years age range.”

I have chosen this hypothesis because it allows me to look at both age and gender of the surveyed people.

(The actual measurement of the angle was 36.5degrees and the actual measurement of the line was 4.35cm)

The data I have received from the survey is on the following page…


To investigate this hypothesis I may need to use a number of methods to calculate the data I will receive.  I may need to use many statistical tools which I already know; such as Averages, Standard Deviation, Frequency Polygons, Histograms, Scatter Diagrams, Cumulative frequency and maybe other methods which I will have to research.

As the sample I am being given is random, it has a large range of varied aged males and varied aged females.  I need to divide the groups up into the groups I have to work with according to my hypothesis.

Hare are the divided groups from the data:

Males aged 11-18years:

Females aged 30+years:

You can see automatically that the two groups are uneven, which you could say makes the groups bias.  I will have to make the groups smaller and as equal as possible. Making the groups smaller will make it easier for me to work with the data.  After some research I came across ‘sampling’.  I have not yet done sampling in my schooling so it is new to me.

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There are four types of sampling: Random, Systematic, Stratified and Quota.  When researching what each type of sampling achieved, I decided that quota sampling would be best for me. Quota sampling is where you pick a sample which as far as possible reflects the population by having the same proportion of males/females or adults/children.  In my case I will have the same amount in each of my groups (same amounts of males and females to work with).

I randomly selected 20 people from each group, here are the new groups:

Males aged 11-18years:


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