Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?

Respuesta :

Answer:

There are 9 people in the class.

Step-by-step explanation:

Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,

4+4+1 (Sean himself) = 9 people

The number of students in the class is given by the sum of the frequency

of each score.

  • There are at least 9 students in the class.

Reasons:

When the class scores are arranged in increasing order, we have;

Sean's position = 5 th = The fifth lowest score

Therefore;

  • The number of scores lower than Sean's score = 4

When the scores are arranged in decreasing order, we have;

Sean's position = 5 th = Fifth highest score

Therefore;

  • The number of scores higher than Sean's score = 4

  • The total number of different scores in the class = 4 + 1 + 4 = 9

Given that two or more students can have the same score, the frequency

of each score, determines the number of students in the class, we have;

  • The number of students in the class, n ≥ 9

Learn more about data frequency here:

https://brainly.com/question/14298164