Question

1. over the first five years of owning her car, gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 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 = 13,156; median = 12,700; mode = 3,628; the median is the best choice because it is not skewed by the high outlier. mean = 13,156; median = 12,700; no mode; the mean is the best choice because it is representative of the entire data set. mean = 12,700; median = 13,156; no mode; the mean is the best choice because it is representative of the entire data set. mean = 13,156; median = 12,700; 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 12700, 15478, 12675, 11850, 13075. Ordenados son 11850, 12675, 12700, 13075, 15478.

Step2: Calcular la media

La media $\bar{x}=\frac{12700 + 15478+12675 + 11850+13075}{5}=\frac{65778}{5}=13155.6\approx13156$.

Step3: Calcular la mediana

Como hay 5 datos (un número impar), la mediana es el valor del centro, es decir, 12700.

Step4: Calcular la moda

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

Step5: Analizar la medida de tendencia central

La mediana es la mejor medida de tendencia central porque la media está sesgada por el valor 15478 (outlier).

Answer:

mean = 13156; median = 12700; no mode; the median is the best choice because it is not skewed by the high outlier.