The z-score of a normal variable, like X, is also normal. To see this in action, compute the probability that X takes a value less than or equal to 23.6474819 (observation number 14). Then, compute the probability that z-scores of X take a value less than or equal to -0.1909414 (the z-score for the 14th observation). They are both equal to:

As the probability of X less than or equal to 23.6474819 and the probability of X is less than or equal to -0.1909414, as the points are less than the condition, then there are unusual and equal to an unusual situation.

Step-by-step explanation:

A z score measures the standard deviation below and above the mean of data. A formula for calculating z-score is

Essential facts about z-scores:

If data is above average, then the z-score is positive.

If data is below average, then the z-score is negative.

if the point is close to average, then z-score is close to 0

if the point is above 333 or blows 3 then z score is unusual.

As the probability of X less than or equal to 23.6474819 and the probability of X is less than or equal to -0.1909414, as the points are less than the condition, then there are unusual and equal to the unusual situation.