Question

analyzing data
what is the third quartile (q₃) for the data set?
organism | length of gestation (days)
cat | 62
chicken | 21
dog | 64
human | 268
leopard | 93
lion | 108
pig | 114
rabbit | 33
red fox | 52
wolf | 64

Explanation:

Step1: Ordenar datos de menor a mayor

$21, 33, 52, 62, 64, 64, 93, 108, 114, 268$

Step2: Calcular posición de $Q_3$

$Pos(Q_3) = \frac{3(n+1)}{4} = \frac{3(10+1)}{4} = 8.25$

Step3: Calcular valor de $Q_3$

$Q_3 = 8^\text{vo} + 0.25(9^\text{vo}-8^\text{vo}) = 108 + 0.25(114-108) = 108$

Answer:

108