Spectroscopic binaries among Hipparcos M giants - II. Binary frequency

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Table 4:

Summary of the binary frequency among different samples of K and M giants.
Stellar type	Sample properties	$N_{\rm tot}$	Binary frequency (%)	Ref.
Field MIII	I (whatever $N\ge 2$ , all Sb)	771	5.6	Sect. 2.1
	II, III, IV (N > 4, all Sb)	254	9.8 (+2.4?)	Sect. 2.4
Field MIII (without Miras)	I (whatever $N\ge 2$ , Sb < 5)	603	6.3	Sect. 2.1
	II, III, IV ( N > 4, Sb < 5)	225	11.1 (+2.7?)	Sect. 2.4
Field KIII	(whatever $N\ge 2$ )	5643^a	14.5^b	Famaey et al. (2005)
	Mermilliod & Mayor (2007) (N = 3)	285	$16\pm2$
Cluster KIII	Mermilliod & Mayor (2007) (N = 3)	704	$30.8 \pm 1.7$

^a This number differs from the one quoted by Famaey et al. (2005), because we restrict the sample to stars having at least two radial-velocity measurements; ^b at the level Prob $(\chi^2(V{\rm r})) \le 0.001$ .

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