CAT4 Year 5 Result Interpretation

[nasrinconfused]

Hello all,

This is confusing me a lot. Yesterday I received year 5 CAT scores and am very confused about how to interpret them. Are the below excellent, good or bad scores? How do they compare to the averages? Can someone pls advise?

Thanks for the extra info @MomFromSE I had a read of the information and it adds context.

When it comes to the distribution @user149799568 I'll admit I am rusty on these matters, forgot the distribution was cumulative and got that wrong. Thanks for taking the time to respond and the clarity. Using the boundaries you do which seems intuitively correct 137, 138, 139, 140 (range 136.5-140.499) has a slighly higher chance (0.4%) vs 0.35% of scoring 141.

I am using this for reference www.gigacalculator.com/calculators/iq-percentile-calculator.php

Then a word on leptokurtotic. FYI, it's was a term I'd never come across before I saw it on here the other day.

When it comes onto the tail discussion I believe labelling the dist leptokurtotic is incorrect, and here's why. Along with the CAT4 SAS score there is also an NPR given. If the NPR was an duplicate of the IQ distribution the NPR 99 (top 1%) would come in at 134.9, so 135+ scores would all be NPR 99. On this basis for it to be leptokurtotic we would expect the NPR99 line to lie above this, perhaps at say 138. If this was the case you'd have 1% between 138 and 141, far more than expected.

However something throws all this out of the window, an observation. NPR99 kicks in far lower than we would expect on the IQ distribution, I know 133 is NPR99 but I don't know if 132 is. My gut feeling is it kicks in at 133 overall. The fact the NPR99 kicks in lower than the expected IQ value signals to me the CAT4 distribution is actually non leptokurtotic.

By the way, a few days ago I also looked at NPR97 which is 127 and above (perhaps 126.5 and above?) and we can see how it starts. 126.5 on the IQ table is 96.14%. The actual 97% on the I.Q table is at 128.21/ 128.22.

Those are very good scores, average one ond 132 I think, my boys last year got 131 and 133 and that put then into top 1-2 percent of the kids their age so your would be similar, top 1%.