The average score on dismissal for batsmen in the history of test cricket is 26.07.
Is the average score of batsmen dismissed in the following ways higher or lower than the average?
Caught, Bowled, LBW, Run Out, Stumped.
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I would guess that you are more likely to be bowled or LBW when you are still fresh to the wicket or are not that good a bat, and caught, stumped or run out when you are set but miscue, misjudge or are tired.
So:
caught: higher
bowled: lower
LBW: lower
stumped: higher
run out: higher
That’s all exactly right, down to the rationalisation.
Caught is 27.59 close to the average because it’s the most common means of dismissal.
Bowled and LBW are 23.34 and 22.36 because it happens more often to tailenders and batsmen yet to get settled.
Stumped is 32.21 and Run Out is 27.70 because it happens more when batsmen are more aggressive having already established themselves.