diff --git a/examples/initialize_from_array/analyze_from_array.py b/examples/initialize_from_array/analyze_from_array.py
index 4e241b303..250d172fa 100644
--- a/examples/initialize_from_array/analyze_from_array.py
+++ b/examples/initialize_from_array/analyze_from_array.py
@@ -54,7 +54,7 @@
 print(f"sig px={sigpx:.2e}, sig py={sigpy:.2e}, sig pz={sigpz:.2e}")
 
 atol = 0.0  # ignored
-rtol = 2 * num_particles**-0.5  # from random sampling of a smooth distribution
+rtol = 2.5 * num_particles**-0.5  # from random sampling of a smooth distribution
 print(f"  rtol={rtol} (ignored: atol~={atol})")
 
 assert np.allclose(