The test scores for a class of 203 students are computed. What is the location of the test score associated with the third quartile?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![**Problem Statement:**
The test scores for a class of 203 students are computed. What is the location of the test score associated with the third quartile?
**Multiple Choice Options:**
1. 51
2. 102
3. 153
4. 103%
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**Explanation:**
The screenshot contains an educational problem regarding the location of the third quartile in a set of test scores for 203 students. The problem is presented as a multiple-choice question with four possible answers:
1. 51
2. 102
3. 153
4. 103%
In statistics, quartiles divide a rank-ordered data set into four equal parts. The third quartile (Q3), also known as the 75th percentile, is the median of the upper half of the data set. To find the third quartile's position in an ordered data set of n elements, the formula is:
\[ Q_3 = \frac{3(n+1)}{4} \]
Based on this formula, we can calculate the exact position of the third quartile in the given data set of 203 students.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ab675ce-2e40-481e-8381-32ae8424bad9%2Fb38281da-096f-4cde-9d73-ecc14404acf3%2Fne0cxw_processed.png&w=3840&q=75)
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