Gcse Handling Data Maths Coursework

There are also further questions for you to try to aid you with your revision. They provide coverage of grade A and A* grade GCSE topics.

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I found the sampling method sheet particularly useful using our school as an example and discussing the strengths and weaknesses of each.

For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). Experimental probability and the importance of basing this on a large trial is also covered.

To do this I have created the following hypotheses: In order to do this I will need to collect information for Key Stage 3, Key Stage 4 and Key Stage 5, and within the stages ability (band) and gender.

I will collect this information from a database, which gives us: Key Stage, maths ability (higher, middle or lower band), gender and their estimates of an acute (17°), obtuse (147°) and reflex (302°) angle.

It is just educated guesses that, according to this data, males are slightly better at.

However, there were still many things that would have improved the investigation were we to repeat it.Example What is the probability of getting a yellow and a red in any order?This is the same as: what is the probability of getting a yellow AND a red OR a red AND a yellow.However, I will only be using the information for the obtuse angle, because the acute would be extremely small so people may guess zero, which would affect our results.Also, reflex angles could be mistaken for acute angles and vice versa, so people may not be giving an accurate estimate.The probability that a red AND then a yellow will be picked is 1/3 × 1/2 = 1/6 (this is shown at the end of the branch).The rule is: On a probability tree, when moving from left to right we multiply and when moving down we add. Expressing probability as fractions and percentages based on the ratio of the number ways an outcome can happen and the total number of outcomes is explained.In the above example, the probability of picking a red first is 1/3 and a yellow second is 1/2.This means that the majority of the estimates were between -1.36% and 2.04% error with fewer below -1.36, giving incredibly accurate estimates.Whereas in Key Stage 5’s box plot, there is a negative skew as the median (-4.76) is closer to the lower quartile (-6.16).

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