Wat is de variantie van {-7, 12, 14, 8, -10, 0, 14}?

Wat is de variantie van {-7, 12, 14, 8, -10, 0, 14}?
Anonim

Antwoord:

# 2.55 (3s.f.) #

Uitleg:

#{-7, 12, 14, 8, -10, 0, 14}#

gemiddelde:

#(-7+ 12+ 14+ 8+ -10 + 0+ 14)/7#

#=31/7#

vind afwijkingen van elk nummer (# N #-gemiddelde):

#-7 - 31/7 =- 49/7 - 31/7 = 80/7#

#12 - 31/7 = 84/7 - 31/7 = 53/7#

#14 - 31/7 = 98/7 - 31/7 = 67/7#

#8 - 31/7 = 56/7 - 31/7 = 25/7#

#-10 - 31/7 = -70/7 - 31/7 = -101/7#

#0 - 31/7 = -31/7#

#14 - 31/7 = 98/7 - 67/7 = 32/7#

variantie = gemiddelde van afwijkingen:

#(80/7 +53/7+ 67/7+ 25/7 -101/7 -31/7 +32/7)/7#

#=125/49#

# = 2.55 (3s.f.) #