We appreciate your visit to Aidan is 68 inches tall The average height of students in his class is 65 inches with a standard deviation of 3 6 inches What. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The z-score for Aidan's height is 0.833, which means that given data is deviated to the right with respect to the center.
How to calculate the Z-score
Let suppose that set of the heights of the students are distributed normally. The z-score is variable which indicates how deviated is a given data from the center of the normal distribution and is defined by the following formula:
Z = (x - μ)/σ (1)
Where:
- x - Height of Aidan, in inches
- μ - Average height, in inches
- σ - Standard deviation, in inches
If we know that x = 68 in, μ = 65 in and σ = 3.6 in, then the z-score related to the height of Aidan is:
Z = (68 in - 65 in)/(3.6 in)
Z = 0.833
The z-score for Aidan's height is 0.833, which means that given data is deviated to the right with respect to the center. [tex]\blacksquare[/tex]
To learn more on normal distributions, we kindly invite to check this verified question: https://brainly.com/question/15103234
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