Suppose a mathematics class with 30 students is given an examination and the raw scores are shown below. Make a frequency distribution and find the: Range Mean Median Mode Variance Standard Deviation Average Deviation and Quartile Deviation Note: Use i = 10 48 73 57 50 78 47 79 70 45 65 38 59 30 59 60 55 65 68 32 49 71 35 66 58 32 36 68 59 59 50
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.
Suppose a mathematics class with 30 students is given an examination and the raw scores are shown below. Make a frequency distribution and find the:
Range Mean Median Mode - Variance
- Standard Deviation
- Average Deviation and
Quartile Deviation
Note: Use i = 10
48 73 57 50 78 47
79 70 45 65 38 59
30 59 60 55 65 68
32 49 71 35 66 58
32 36 68 59 59 50
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