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 12 13 10 7 12 12 15 15 12 12 15 20 10 14 11 15 14 13 14 11 For the marks in each quiz calculate: i. Mean ii. Median iii. Mode Range v. Variance vi. Standard Deviation vii. Coefficient of Variation viii. Lower Quartile ix. Upper Quartile Interquartile Range xi. 60th Percentile xii. 3rd Decile xiii. 4th Quintile Also calculate xiv. Covariance xv. Correlation Coefficient
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
12 13
10 7
12 12
15 15
12 12
15 20
10 14
11 15
14 13
14 11
For the marks in each quiz calculate:
i.
ii.
iii.
v. Variance
vi. Standard Deviation
vii. Coefficient of Variation
viii. Lower
ix. Upper Quartile
xi. 60th Percentile
xii. 3rd Decile
xiii. 4th Quintile
Also calculate
xiv.
xv.
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