This z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
What is standard deviation?
The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.
Given:
Annie averages 23 points per basketball game with a standard deviation of 4 points.
Suppose Annie's points per basketball game are normally distributed.
Let X = the number of points per basketball game.
By Notation,
X ~ N(23,4) means E(X) = 23, SD(X) = 4
Mean = 23 , Standard deviation = 4
So,
[tex]Z_s_c_o_r_e = \frac{Value - Mean}{Sd}\\Z_s_c_o_r_e = \frac{34-23}{4}\\ = \frac{11}{4} Z_s_c_o_r_e = 2.75[/tex]
mean = 23
This z-score tells you x = 34 is 2.75 standard deviations to the right of mean.
Hence, this z-score tells you x = 34 is 2.75 standard deviations to the right of mean. And the mean is 23.
To know more about standard deviation, click on the link
https://brainly.com/question/475676
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