Table 1.

Average IP Shock Parameters

Parameter	Xming	Xmaxh	$\overline{X}$i	$\tilde{X}$j	σxk
250 Shocks Satisfying:
〈Mf〉up ≥ 1; 〈MA〉up ≥ 1; ℛ ≥ 1; and θBn ≥ 45°
〈β〉up (N/A)a	0.02	3.86	0.54	0.40	0.53
θBn [°]b	45	90	68	68	13
〈Mf〉up (N/A)c	1.02	6.39	2.20	1.92	1.05
〈MA〉up (N/A)c	1.15	15.61	2.95	2.47	1.79
〈|Vshn|〉up (km s−1)d	9	1164	490	461	169
〈|Ushn|〉up(km s−1)e	37	550	142	109	97
〈|Bo|〉up (nT)	1.0	19.0	5.9	5.5	2.9
〈ni〉up (cm−3)	0.6	35.5	8.6	7.0	5.8
Δ|Bo| [nT]f	0.4	28.5	6.0	4.6	4.5
145 Shocks Satisfying:
〈Mf〉up ≥ 1; 1 ≤ 〈MA〉up ≤ 3 〈β〉up ≤ 1; 1 ≤ ℛ ≤ 3; and θBn ≥ 45°
〈β〉up (N/A)	0.02	0.94	0.35	0.34	0.21
θBn (deg)	46	88	68	68	12
〈Mf〉up (N/A)	1.02	2.52	1.64	1.61	0.36
〈MA〉up (N/A)	1.15	2.98	2.01	2.01	0.49
〈|Vshn|〉up (km s−1)	9	976	452	433	124
〈|Ushn|〉up (km s−1)	39	275	108	98	50
〈|Bo|〉up (nT)	2.1	17.4	6.4	5.8	2.8
〈ni〉up (cm−3)	1.0	29.5	8.3	6.9	5.5
Δ|Bo| (nT)	0.4	21.4	4.8	3.8	3.3
113 Shocks With Precursors Satisfying:
〈Mf〉up ≥ 1; 1 ≤ 〈MA〉up ≤ 3 〈β〉up ≤ 1; 1 ≤ ℛ ≥ 3; and θBn ≥ 45°
〈β〉up (N/A)	0.02	0.82	0.32	0.30	0.20
θBn (deg)	46	88	66	67	12
〈Mf〉up (N/A)	1.02	2.52	1.66	1.68	0.37
〈MA〉up (N/A)	1.15	2.95	2.00	2.01	0.51
〈|Vshn|〉up (km s−1)	9	908	451	438	123
〈|Ushn|〉up(km s−1)	39	275	112	99	52
〈|Bo|〉up (nT)	2.1	17.4	6.7	6.0	3.0
〈ni〉up (cm−3)	1.0	29.5	8.4	6.6	5.6
Δ|Bo| (nT)	0.4	21.4	5.2	4.4	3.4

^a”Total” plasma beta ≡ (3/5)$C_s^2/V_A^2$.

^bShock normal angles ≡ ${\cos }^{-1}({\langle {\widehat{B}}_o\rangle }_{\mathrm{up}}\cdot \widehat{\mathbf{n}})$.

^cUpstream α Mach number ≡ 〈|U_shn|〉_up/〈V_α〉_up.

^dShock normal speed in SCF.

^eUpstream flow speed along shock normal In SHF.

^fΔQ ≡ 〈Q〉_dn - 〈Q〉_up.

^gMinimum.

^hMaximum.

ⁱMean or average;

^jMedian.

^kStandard deviation.