in some gymnastics meets, the score given to a gymnast is the mean of the judges scores after the highest…

in some gymnastics meets, the score given to a gymnast is the mean of the judges scores after the highest and lowest scores have been tossed out. nikitas scores on the floor routine from all of the judges are shown below. 7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00 how does nikitas mean score before removing the highest and lowest scores compare to her mean score after the highest and lowest scores are removed? her score does not change. her score is lower after removing the highest and lowest scores. her score is higher after removing the highest and lowest scores. there is not enough information to determine if her score increases or decreases.

in some gymnastics meets, the score given to a gymnast is the mean of the judges scores after the highest and lowest scores have been tossed out. nikitas scores on the floor routine from all of the judges are shown below. 7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00 how does nikitas mean score before removing the highest and lowest scores compare to her mean score after the highest and lowest scores are removed? her score does not change. her score is lower after removing the highest and lowest scores. her score is higher after removing the highest and lowest scores. there is not enough information to determine if her score increases or decreases.

Answer

Explanation:

Step1: Calcular la media original

Sumamos todos los puntajes: $7.50 + 7.50+7.75 + 7.75+8.00 + 8.00+8.00 + 10.00=64.5$. Hay 8 puntajes, entonces la media original es $\frac{64.5}{8}=8.0625$.

Step2: Eliminar el puntaje más alto y el más bajo

El puntaje más bajo es $7.50$ y el más alto es $10.00$. Quitamos estos dos puntajes. Los puntajes restantes son $7.50,7.75,7.75,8.00,8.00,8.00$.

Step3: Calcular la nueva media

Sumamos los puntajes restantes: $7.50+7.75 + 7.75+8.00+8.00+8.00 = 47$. Hay 6 puntajes restantes, entonces la nueva media es $\frac{47}{6}\approx7.83$.

Step4: Comparar las medias

$8.0625>7.83$, entonces el puntaje es más bajo después de eliminar el puntaje más alto y el más bajo.

Answer:

Her score is lower after removing the highest and lowest scores.