Salma who took the Tawjihi exam scored 94.6 in mathematics and 93.7 in physics. The mean score for mathematics for all test takers was 86.1 with a standard deviation of 4.4, and the mean score for physics was 81.7 with a standard deviation of 5.33. Suppose that both distributions are nearly normal. Write down the shorthand (abbreviated formula) for these two normal distributions, e.g., X , Ν (μ, σ). b. What is Salma's Z-score in mathematics? And in physics? What do these Z-scores tell you? а. C.
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.
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