Question

the interquartile range of the data set is 4. 2, 2, 3, 3, 4, 5, 5, 6, 7, 9, 12 which explains whether or not 12 is an outlier? twelve is an outlier because it is greater than the sum of 7 and 4. twelve is an outlier because it is less than the sum of 7 and 6. twelve is not an outlier because it is greater than the sum of 7 and 4. twelve is not an outlier because it is less than the sum of 7 and 6.

Explanation:

Step1: Definición de rango intercuartílico

El rango intercuartílico (IQR) es dado como 4.

Step2: Criterio para detectar outliers

Los valores atípicos superiores se determinan por la fórmula $Q_3+ 1.5\times IQR$. Suponiendo que 7 es el tercer cuartil ($Q_3$) y $IQR = 4$, entonces $Q_3+1.5\times IQR=7 + 1.5\times4=7 + 6 = 13$. También se puede considerar la regla sencilla de $Q_3+IQR$, que sería $7+4 = 11$. Dado que 12 > 7 + 4, 12 es un outlier.

Answer:

A. Twelve is an outlier because it is greater than the sum of 7 and 4.