# Thread: Sample GCSE Maths Question - Cricket Based

1. Originally Posted by Pratyush
There is a possibility of debate regarding whether mean is the best way to judge.

A player scores 100 100 100 100 - mean is 100
A player scores 400 0 0 0 - mean is 100

NO implication to Brian Lara

A high mean is obviously necessary but a player X with slightly lower mean than player Y but with a lower SD (showing more consistency) would surely be more acceptable.

So in judging players in the real sense SD has to be tabulated as well.

Now to tabulate the SD, do we exclude the extreme scores as a 400 is a good score but adverse the SD adversely? Maybe if a player plays 100 completed innings, the 5 lowest and 5 highest scores can be excluded.

IMDB user rating excludes some extremes - as claimed in their site. They claim its the way statistics do it as well.

I am not a statistician but are there some ways to do it in computing the SD?

Of course there are many many other variables which make judging players comparatively so difficult.
The optimal way of doing things would be to include both mean and variance (variance = standard deviation squared and is used by statisticians rather than the SD). High mean is good, low variance is good - so perhaps mean divided by variance would be a better guide to batting ability? I'll do some more research with my powerful stats software soon!

As for medians? Er... no! They're not as good as the mean as they have absolutely no indicator of how someone performs at either end of the range. Granted, most measures of central tendency hide as much as they show, but I'd have got that wrong and I'm a maths genius

I'll show this question to my statistics lecturer this morning, see what he thinks to it.

@ Jungle Jumbo - did you get my e-mail?

2. [QUOTE=Neil Pickup]The optimal way of doing things would be to include both mean and variance (variance = standard deviation squared and is used by statisticians rather than the SD). High mean is good, low variance is good - so perhaps mean divided by variance would be a better guide to batting ability? I'll do some more research with my powerful stats software soon!
/QUOTE]

Yeah and excluding the extremes maybe.

3. Originally Posted by Neil Pickup
Best. Jamee. Post. Ever.
Indeed.

Although to be fair, it's not got a lot of contest

4. Originally Posted by Neil Pickup
I'll show this question to my statistics lecturer this morning, see what he thinks to it.
My stats lecturer agrees virtually word-for-word with me. Go tell your teacher that median is very, very wrong!

5. Originally Posted by Neil Pickup
My stats lecturer agrees virtually word-for-word with me. Go tell your teacher that median is very, very wrong!
Sorry, too scared of him for that! Plus the test wasn't that important anyway, so it isn't worth the bother. Try emailing again, forgot to turn on the "Allow Members to Email You" button.

6. Originally Posted by Jungle Jumbo
Sorry, too scared of him for that! Plus the test wasn't that important anyway, so it isn't worth the bother. Try emailing again, forgot to turn on the "Allow Members to Email You" button.
Right, have tried again. Let me know if you don't get it!

7. No, you should seriously go tell him. That's completely wrong..

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