Consider the following data on marks obtained in Quizzes 1 and 2 by a sample of 10 students enrolled in a statistics class Quiz 1 Quiz 2 5 20 15 16 12 12 13 10 15 14 14 15 13 10 12 12 10 12 15 14 For the marks in each quiz calculate I. Interquartile Range ii. 60th Percentile iii. 3rd Decile Vi. 4th Quintile
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.
Consider the following data on marks obtained in Quizzes 1 and 2 by a sample of 10 students
enrolled in a statistics class
Quiz 1 Quiz 2
5 20
15 16
12 12
13 10
15 14
14 15
13 10
12 12
10 12
15 14
For the marks in each quiz calculate
I.
ii. 60th Percentile
iii. 3rd Decile
Vi. 4th Quintile
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