@sendsummer
I commented mean number of Astars at GCSE was 10.8. So that was an average, suggesting somewhere around half got more and half got less, that is how averages work.
And you responded That is true for a median value, not the mean
I need some help here. My (probably outdated) stats say that the offer curve is a positively skewed normal distribution curve. This surely means the median lies somewhere between the mean (10.8) and the mode (10). Therefore there is, at most, a 0.7 difference between the median (middle) and the mean (average), hence why I said somewhere around half got more and half got less. Have I got something wrong? I am genuinely interested as the interpretation of the stats can make a difference in whether it makes sense to apply with given GCSE results or not.
If you look at the graph, the highest number of offers was for those with 10 GCSEs (mode), so less than the average (mean) of 10.8. So this suggests the graph for number of GCSEs in those who got offers may not be wholly to scale, given that there is likely to actually be a positive skew meaning more people with offers got below the average (of 10.8) than got above it.
The above is also completely wrong. Most with offers get 10 or above Astar equivalent. The scale is not wrong and there is no reason why it should be from the simple statistics presented with and depicted by the graph.
I maybe should have said the proportions on the graph may be difficult to represent, given the small numbers involved!
But am I right that the statistical analysis of a mode (10) being less than a mean (10.8) suggests a positively skewed normal distribution curve? As if so, then given the info we have, this surely means more applicants got offers with 10.8 A* and less than those with >10.8 A stars?
If I have got this wrong, can anybody explain where, please, as my stats is a little rusty and I do not want to interpret things wrongly? I accept there may be unknown parameters that may change things, but I am basing the assumptions on the info on the page.
I use these sort of stats to encourage people to apply to Oxford. Many see the average and think they need more than 10.8 Astars to apply, when the data seems to me to suggest that slightly more people get in with less than this (10 A stars and below) than above (11 Astars and above)