Question

1. over the first five years of owning her car, gina drove about 12,200 miles the first year, 16,211 miles the second year, 12,050 the third year, 11,350 the fourth year, and 13,325 the fifth year. a. find the mean, median, and mode of this data. b. explain which measure of central tendency will best predict how many miles gina will drive in the sixth year.

mean = 13,027, median = 12,200, no mode; the mean is the best choice because it is representative of the entire data set.
mean = 12,200, median = 13,027, no mode; the mean is the best choice because it is representative of the entire data set.
mean = 13,027, median = 12,200; mode = 4,861; the median is the best choice because it is not skewed by the high outlier.
mean = 13,027, median = 12,200; no mode; the median is the best choice because it is not skewed by the high outlier.

Explanation:

Step1: Ordenar los datos

Los datos son 12200, 16211, 12050, 11350, 13325. Ordenados son 11350, 12050, 12200, 13325, 16211.

Step2: Calcular la media

Media = $\frac{12200 + 16211+12050 + 11350+13325}{5}=\frac{65136}{5}=13027.2\approx13027$

Step3: Calcular la mediana

Como hay 5 datos (un número impar), la mediana es el valor del centro, es decir, 12200.

Step4: Analizar la moda

No hay un valor que se repita, entonces no hay moda.

Step5: Elegir la medida de tendencia central

El valor 16211 es un outlier (valor atípico). La media se ve afectada por outliers, mientras que la mediana no. Entonces, la mediana es la mejor medida de tendencia central.

Answer:

mean = 13027, median = 12200, no mode; the median is the best choice because it is not skewed by the high outlier.