Dit formuleblad bevat alle formules die benodigd zijn voor het tentamen Data-analyse & Risicomanagement (DAR). Alle formules uit het boek ''Statistiek in 20 stappen'' zijn op dit formuleblad opgenomen. Ik raad het formuleblad aan voor studenten die het vak Data-analyse & Risicomanagement (DAR) last...
Spreidingsmaten
Variatiebreedte (range): verschil tussen hoogste en laagste waarde – Excel: =MIN en =MAX
𝛴(𝑥𝑖 −𝑥̅ )2
Variantie (s2): 𝑠 2 = – Excel: =VAR.S
𝑛−1
Standaarddeviatie (S): afwijking van het gemiddelde: S= √𝑠 2 – Excel: =STDEV.S
Excel: Data Analysis → Descriptive Statistics → Summary Statistics = Volledig Overzicht
Maatstaven voor Frequentieverdelingen
𝐵𝑜𝑣𝑒𝑛𝑔𝑟𝑒𝑛𝑠−𝑂𝑛𝑑𝑒𝑟𝑔𝑟𝑒𝑛𝑠
Klassenmiddens (mi): – Let op: < of > of =< of =>
2
∑ 𝑚𝑘 ∗ 𝑓𝑘
̅): 𝑥̅ =
Rekenkundig gemiddelde (𝒙 𝑛
Modale klasse: de klasse met de hoogste frequentie
𝑏
Mediaan (Xme): de middelste waarneming van de mediale klasse: Xme =L+(r-0,5)𝑓
Klassengrens (range): verschil tussen hoogste en laagste waarde
𝛴 𝑓𝑖(𝑚𝑖 −𝑥̅ )2
Variantie (s2): 𝑠 2 = 𝑛−1
Standaarddeviatie (S): afwijking van het gemiddelde: S= √𝑠 2
Kansberekeningen (symbool P (probability)
Kans op beide variabelen, maar niet tegelijk (onafhankelijk): P(A ∩ B) = P(A) * P(B)
Kans op beide variabelen, ook tegelijk (afhankelijk): P(A en B) = P(A) + P(B) – P(A of B)
Kans gebeurt wel of kans gebeurt niet: P(niet A) = 1-P(A)
𝑎𝑎𝑛𝑡𝑎𝑙 𝑔𝑢𝑛𝑠𝑡𝑖𝑔𝑒 𝑔𝑒𝑣𝑎𝑙𝑙𝑒𝑛
Definitie van Laplace: P(A) = 𝑡𝑜𝑡𝑎𝑎𝑙 𝑎𝑎𝑛𝑡𝑎𝑙 𝑔𝑒𝑣𝑎𝑙𝑙𝑒𝑛
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