Understanding Percentiles: Solving MCQ Homework

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SUMMARY

The discussion centers on understanding percentiles in the context of a multiple-choice question (MCQ) regarding test scores. A score at the 30th percentile indicates that 30 percent of the reference group scored lower, thus the correct answer is (b) at the 70th percentile. The term "percentile" is defined as the value below which a certain percentage of observations fall, with specific references to quartiles and median. The confusion arises from misinterpreting the percentile rank in relation to the score achieved.

PREREQUISITES
  • Understanding of basic statistics concepts, particularly percentiles and percentile ranks.
  • Familiarity with descriptive statistics terminology.
  • Knowledge of quartiles and their significance in data analysis.
  • Ability to interpret test score distributions.
NEXT STEPS
  • Study the concept of percentile ranks in detail.
  • Learn about quartiles and their applications in statistics.
  • Explore descriptive statistics and their relevance in educational assessments.
  • Review examples of percentile calculations in various datasets.
USEFUL FOR

Students preparing for exams, educators teaching statistics, and anyone interested in understanding data interpretation and analysis in educational contexts.

UNknown 2010
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Homework Statement


If a 30 percent of a reference group scored higher than you did on a test, your score would be:
a)at the 30th percentile
b)at the 70th percentile
c)at the 71st percentile
d)at the 29th percentile
e)indeterminate from the available information

Homework Equations


I think it is c ?Please I need fast reply because my exam is very close

The Attempt at a Solution

 
Last edited:
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What do you think "percentile" means? Why do you think it is c?
 
From wiki
A percentile (or centile) is the value of a variable below which a certain percent of observations fall. So the 20th percentile is the value (or score) below which 20 percent of the observations may be found. The term percentile and the related term percentile rank are often used in descriptive statistics as well as in the reporting of scores from norm-referenced tests. The 25th percentile is also known as the first quartile (Q1); the 50th percentile as the median or second quartile (Q2); the 75th percentile as the third quartile (Q3).

It should be (b) .. isn't it?
 

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