determining the effect of outliers\nfredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10…

determining the effect of outliers\nfredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. which statements are correct? check all that apply.\nfredrick’s data set contains an outlier.\nthe median value is 12 home runs.\nthe mean value is about 12.6 home runs.\nthe median describes fredrick’s data more accurately than the mean.\nthe mean value stays the same when the outlier is not included in the data set.

determining the effect of outliers\nfredrick hit 14, 18, 13, 12, 12, 16, 13, 12, 1, and 15 home runs in 10 seasons of play. which statements are correct? check all that apply.\nfredrick’s data set contains an outlier.\nthe median value is 12 home runs.\nthe mean value is about 12.6 home runs.\nthe median describes fredrick’s data more accurately than the mean.\nthe mean value stays the same when the outlier is not included in the data set.

Answer

Explanation:

Step1: Ordenar los datos

1, 12, 12, 12, 13, 13, 14, 15, 16, 18

Step2: Encontrar el rango y el outlier

El valor 1 es un outlier ya que está muy alejado de los demás valores.

Step3: Calcular la mediana

Como hay 10 valores (un número par), la mediana es el promedio de los 5º y 6º valores ordenados. $(13 + 13)/2=13$.

Step4: Calcular la media

$\text{Media}=\frac{1 + 12+12+12+13+13+14+15+16+18}{10}=\frac{126}{10} = 12.6$

Step5: Analizar la influencia del outlier

El outlier afecta la media. Si se quita el 1, la media cambia. La mediana es menos afectada por el outlier y describe mejor los datos.

Answer:

Fredrick’s data set contains an outlier. The mean value is about 12.6 home runs. The median describes Fredrick’s data more accurately than the mean.