Two candidates X and Y at the BS Examination obtained the following marks in 10 papers. Paper I II III IV V VI VII VIII IX X X 58 49 76 80 47 72 61 59 77 48 Y 39 38 86 72 75 69 57 49 83 66 a) Which of the candidate showed a more consistent performance? b) Who gained better marks?
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.
Two candidates X and Y at the BS Examination obtained the following marks in 10 papers.
Paper I II III IV V VI VII VIII IX X
X 58 49 76 80 47 72 61 59 77 48
Y 39 38 86 72 75 69 57 49 83 66
a) Which of the candidate showed a more consistent performance?
b) Who gained better marks?
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