calculate the z-score that correspond to 11kg

Question

calculate the z-score that corresponds to 11kg.

Answer 1

We would need more information to help you.

Z-scores are related to the standard deviation and how far away you are from the mean.

Example: Let's say you are weighing widgets. You gather data from weighing a bunch of the widgets and determine the weights are normally distributed with a mean of 44 grams and you calculate the standard deviation as 2 grams. Now, you pick up one widget and weigh it at 47.5 grams and you are asked to find the z-score of that measurement.

mean = μ = 44

standard deviation = σ = 2

observed value = x = 47.5

z = (47.5 - 44)/2 = 1.75