Question

A set of data has a normal distribution with a mean of 50and a standard deviation of 8. What percent of the data should be less than 50

Answer 1

To find the percent of data that is less than 50 in a normal distribution with a mean of 50 and a standard deviation of 8, we can calculate the z-score for 50 and find the corresponding percentile.

Step-by-step explanation:

To find the percent of data that is less than 50 in a normal distribution with a mean of 50 and a standard deviation of 8, we can use the concept of z-scores.

The z-score formula is z = (x - μ) / σ, where z is the z-score, x is the value we want to find the percentile for, μ is the mean, and σ is the standard deviation.

Since we want to find the percent of data that is less than 50, we can substitute 50 into the z-score formula and calculate the z-score.

z = (50 - 50) / 8 = 0 / 8 = 0

The z-score of 0 represents the mean, so the percent of data that is less than 50 is 50%.