Question

a set of data has a normal distribution with a mean of 46 and a standard deviation of 8. find the percent of data within the following interval: less than 46. the percent of data within the given interval is % (type an integer or a decimal)

Explanation:

Step1: Identify normal distribution properties

A normal distribution is symmetric about its mean. The mean divides the distribution into two equal halves.

Step2: Calculate the percentage

For a normal distribution, 50% of the data lies below the mean. Here, the mean $\mu = 46$, so the percentage of data less than 46 is 50%.

Answer:

50