there are 8 sophomores on the academic team. at the last competition, they each took the math test. their…

there are 8 sophomores on the academic team. at the last competition, they each took the math test. their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. what was the median math score of the sophomores? 79% 82% 87% 92%

there are 8 sophomores on the academic team. at the last competition, they each took the math test. their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. what was the median math score of the sophomores? 79% 82% 87% 92%

Answer

Explanation:

Step1: Trier les scores

On range les scores de manière croissante : $72%, 74%, 76%, 78%, 80%, 82%, 92%, 92%$.

Step2: Trouver la position du médian

Comme il y a $n = 8$ scores (un nombre pair), la position du médian est donnée par $\frac{n}{2}$ et $\frac{n}{2}+1$. Ici, $\frac{8}{2}=4$ et $\frac{8}{2}+1 = 5$.

Step3: Calculer le médian

Le médian est la moyenne des deux scores aux positions 4 et 5. Donc, $\text{Médian}=\frac{78% + 80%}{2}=\frac{158%}{2}=79%$.

Answer:

$79%$