Distribution of runs off the bat in test matches

Following on from the last post wehre I detailed the methods of dismissal in test matches, today I’m going to keep it simple and show the distribution of runs off the bat during test matches.

One note to go with this post – it contains all balls bowled, including extras. Wides, Byes, and Leg Byes count as ‘no runs’, as do no-balls in the case of a no-ball being bowled and no further runs being scored off the bat it also counts as ‘no runs’. And in the case of a no-ball being bowled off which a batsman scores runs, then it is counted as the number of runs scored off the bat. Not exactly ideal but no-balls are proving difficult to separate thus far.

Firstly, here’s the distribution of runs off the bat by deliveries:

Screen Shot 2013-11-12 at 3.26.34 PM

Notes:
No runs off the bat is by far the most likely outcome – I don’t think anyone would have struggled to guess that.
Next up are singles – again, few people are going to be surprised here.
I actually expected 2’s and 4’s to be relatively closely matched but that’s not really the case.
There’s a six scored about every 40 overs – I didn’t expect them to be as common as that.

Lets quickly look at this one other way – a shot that scores two runs only occurs one quarter as often as a shot that results in a single – but it’s worth twice as many runs, so lets look at the distribution of runs scored per scoring shot.

Screen Shot 2013-11-12 at 3.40.23 PM

Notes:
So 3’s and 6’s are relatively rare occurrences, one of them happens on 1.3% of deliveries, but they actually provide almost 10% of the runs scored off the bat.
Boundaries contribute >50% to the runs scored in tests.
An average innings of 300 runs off the bat would constitute roughly 86 singles, 22 2’s, 5 3’s, 35 4’s, and 2 6’s, and take 94 overs.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s