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 is the z-score for Aidan’s height?

Aidan is 3 inches above average. A z-score of 1.0 would refer to someone exactly 1 standard deviation above average, or 3.6 inches above average, or 68.6 inches tall. A z-score of 0.0 would refer to someone exactly average. What proportion of 3.6 is 3.0? That will be your z-score

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xero099 xero099 · Answer 2 · 2022-04-14T13:12:35+02:00

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