Question

Calculate the standard score of the given x value, x=32.8, where μ=24.9 and σ=29.3, and indicate on the curve where z will be located. Round the standard score to two decimal places.

Answer 1

The standard score, also known as the z-score, measures how many standard deviations an individual data point is from the mean of a distribution. To calculate the standard score of x=32.8, with a mean (μ) of 24.9 and a standard deviation (σ) of 29.3, we use the formula: z = (x - μ) / σ. Therefore, the standard score for x=32.8 is approximately 0.27.

Step-by-step explanation:

The standard score, also known as the z-score, measures how many standard deviations an individual data point is from the mean of a distribution. To calculate the standard score of x=32.8, with a mean (μ) of 24.9 and a standard deviation (σ) of 29.3, we use the formula:

z = (x - μ) / σ

Plugging in the values, we get: z = (32.8 - 24.9) / 29.3 = 0.27

Therefore, the standard score for x=32.8 is approximately 0.27.