Std (aiming error), $\sigma$

$p_a\equiv E\left[P\left(\omega \right)\right]$

$\delta p\equiv \text{std}\left[P\left(\omega \right)\right]$

$\sqrt{3}\left(\delta p\right)/p_a$

0 m

7.753%

0.411%

0.092

2 m

7.547%

0.492%

0.113

4 m

7.046%

0.834%

0.205

6 m

6.373%

1.300%

0.353

8 m

5.625%

1.730%

0.533

10 m

4.899%

2.034%

0.719

12 m

4.239%

2.219%

0.907

14 m

3.672%

2.304%

1.087

16 m

3.194%

2.327%

1.262

18 m

2.784%

2.304%

1.434

20 m

2.437%

2.256%

1.603

22 m

2.155%

2.197%

1.766

24 m

1.910%

2.125%

1.927

26 m

1.708%

2.052%

2.081

28 m

1.533%

1.981%

2.238

30 m

1.382%

1.908%

2.391