Therefore, the z-score when X = 34 is 2.75 , the mean is 23.
The z-score tells you that X = 34 is 2.75 standard deviations to the right of the mean.
What is z-score?
The significance of the z-score lies in its ability to standardize scores, allowing for meaningful comparisons between different sets of data. A z-score of 0 indicates a data point that is exactly average for the given dataset, while positive and negative z-scores indicate values above and below the mean, respectively.
Given that
X∼N(23,4)
Annie average(mean) = 23
Standard deviation = 4
Let find the z score using the formula
z = (X - mean)/S.D
where
X is number of points per basketball game
X = 34
z = (34 - 23)/4
z = 11/4
= 2.75
Therefore, the z-score when X = 34 is 2.75 , the mean is 23.
The z-score tells you that X = 34 is 2.75 standard deviations to the right of the mean.
Complete question