Question

A set of data items is normally distributed with a mean of 150 and a standard deviation of 20. Convert 110 to a z-score

Answer 1

To calculate the z-score for a score of 110 with a mean of 150 and a standard deviation of 20, use the formula z = (x - μ) / σ. In this case, the z-score is -2, indicating that 110 is 2 standard deviations below the mean.

Step-by-step explanation:

To convert a score of 110 to a z-score in a set of data that has a mean of 150 and a standard deviation of 20, you would use the formula for calculating z-scores:

z = (x - μ) / σ

Where x is the score, μ (mu) is the mean, and σ (sigma) is the standard deviation.

To calculate the z-score for 110:

z = (110 - 150) / 20

z = (-40 / 20)

z = -2

This means that a score of 110 is 2 standard deviations below the mean.

Answer 2

z score = value - mean
------------------ = (110 - 150 ) / 20 = -2
std dev