## Distribution of shots in the premiership

After covering goals and shots on target it’s time to look at total shots.

First the table of stats.

 Mean Standard deviation 95% max 95% min Total 22.75 5.51 33.77 11.73 Home 12.91 4.84 22.60 3.22 Away 9.84 4.16 18.15 1.52

The 95% min and max are the limits between which, statistically, 95% of results will form.

Now the graphs showing how shots are distributed within games. Firstly total shots

Then separating the performance of home and away teams

And finally a plot showing the how often home and away teams took at least a defined number of shots*

Yet again, home teams are seen to outperform their opponents which really isn’t a surprise.

*The way to read this plot is as follows. If, for example, you want to know how often a home team take 10 or more shots. Start by finding 10 on the x-axis and tracing straight up until you meet the line for the home team. Then trace from that spot directly left to the y-axis to find the frequency (the proportion of games where the home team takes 10 or more shots). Multiply the frequency (~0.75 in this case) by 100 and you have the probability as a percentage (~75%).