Can a Student with 73 Marks Place Among 18 Candidates?

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Discussion Overview

The discussion revolves around determining the placement of a student with a score of 73 among 18 candidates based on their marks in Statistics. Participants explore the implications of the given score within specified ranges and consider the probability of the student being in the top 10 candidates.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • Some participants note that a score of 73 places the student within the group of 11 students scoring between 70 and 74.
  • One participant calculates that there are 7 students above a score of 74, suggesting that 3 out of the 11 students in the 70-74 range could be in the top 10, leading to a probability of 3/11 for the student being in the top 10.
  • Another participant emphasizes the ambiguity in determining the exact placement of the student among the 18, as the specific rank cannot be established without additional information about the other students' scores.
  • There is a reiteration of the original question regarding the student's placement number among the 18 students, indicating a need for clarity in the discussion.

Areas of Agreement / Disagreement

Participants generally agree that the student with a score of 73 is among the 11 students in the 70-74 range. However, there is disagreement regarding the ability to determine the exact placement of the student, with some asserting that it cannot be definitively established.

Contextual Notes

The discussion highlights limitations in the information provided, particularly regarding the specific ranks of students within the 70-74 range and the overall distribution of scores among the 18 candidates.

Who May Find This Useful

This discussion may be useful for students or individuals interested in understanding statistical placement and probability within a competitive scoring context.

waptrick
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I'm not sure if there is insufficient information or I may possibly overlooking something.

But here goes...

Students have been put in a range of percentages according to their marks obtained in Statistics.

1 student in 85-90
1 student in 80-84
5 students in 75-79
11 students in 70-74

If a student has an average of 73 where would the student place among the 18 students? Also what is the probability that the student is in the top 10 candidates?
 
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waptrick said:
I'm not sure if there is insufficient information or I may possibly overlooking something.

But here goes...

Students have been put in a range of percentages according to their marks obtained in Statistics.

1 student in 85-90
1 student in 80-84
5 students in 75-79
11 students in 70-74

If a student has an average of 73 where would the student place among the 18 students? Also what is the probability that the student is in the top 10 candidates?
You understand that 73 is between 70 and 74 don't you? So the student is one of the 11 students in the "70- 74" group. There are 5+ 1+ 1= 7 students above 74 so 3 of the student in "70-74" are in the "top 10". Knowing only that the student is in the bottom 11, the probability this student is in the top 10 is 3/11.
 
Sorry I was probably not as clear as I should have been. The original question was where would a student with a mark of 73 place among the 18 students? As in what number out of the 18 students
 
All you know is that this person's score is 73 which means he is one of the 11 students who had scores between 70 and 75. We cannot know which of those 11 students he/she is so we cannot say exactly where he/she stands.
 

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