Question

Find the z-score for the value 56 , when the mean is 59 and the standard deviation is 5.

A. z=−0.86
B. z=0.86
C. z=−0.80
D. z=−0.60

Answer 1

The z-score for the value 56, with a mean of 59 and a standard deviation of 5, is calculated using the formula z = (X - μ) / σ, resulting in z = -0.6, which is option D.

Step-by-step explanation:

To find the z-score for the value 56 when the mean is 59 and the standard deviation is 5, you can use the z-score formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. Here, X = 56, μ = 59, and σ = 5.

Let's calculate it:

• Subtract the mean from the value: 56 - 59 = -3
• Divide the result by the standard deviation: -3 / 5 = -0.6

So the z-score for the value 56 is z = -0.6, which corresponds to option D.