from math import sqrt

sandales =  {5:3 , 15:16, 25:28, 35:43, 45:47, 50:60, 65:24, 75:15, 85:10, 95:7, 105:1, 135:2}
appPhotos =  {20:5, 60:7, 100:10, 140:17,  180:9, 220:3, 260:12, 300:3, 380:2, 420:4}

def mean(dict):
	somme = sum([i*dict[i] for i in dict.keys()])
	effectif = sum(dict.values())
	return float(somme)/effectif

def sd(dict):
	m = mean(dict)
	somme = sum([(i-m)**2*dict[i] for i in dict.keys()])
	effectif = sum(dict.values())
	return sqrt(float(somme)/effectif)

def analyse(dict):
	m = mean(dict)
	et = sd(dict)
	lowB = m - et
	highB = m + et
	inConfiance1 = [dict[i] for i in dict.keys() if (i <= highB) and (i >= lowB)]
	somme1 =  sum(inConfiance1)
	lowB = m - 2*et
	highB = m + 2*et
	inConfiance2 = [dict[i] for i in dict.keys() if (i <= highB) and (i >= lowB)]
	somme2 =  sum(inConfiance2)
	effectif = sum(dict.values())
	print("mean : {m} \n sd = {et}".format(m = m , et = et))
	print("[{l} ; {h}] -> {val}".format(l = lowB , h = highB , val = str(inConfiance1)))
	print("Pourcentage: {pourc}%".format(pourc = 100*somme1 / effectif))
	print("[{l} ; {h}] -> {val}".format(l = lowB , h = highB , val = str(inConfiance2)))
	print("Pourcentage: {pourc}%".format(pourc = 100*somme2 / effectif))


analyse(sandales)
analyse(appPhotos)