The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students. Math (x) 75 80 93 65 87 71 98 68 84 77 English (y) 82 78 86 72 91 80 95 72 89 74 C)If a student receives a mark of 75 in mathematics, what is his expected mark in English? D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?
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.
- The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students.
|
Math (x) |
75 |
80 |
93 |
65 |
87 |
71 |
98 |
68 |
84 |
77 |
|
English (y) |
82 |
78 |
86 |
72 |
91 |
80 |
95 |
72 |
89 |
74 |
C)If a student receives a mark of 75 in mathematics, what is his expected mark in English?
D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?
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