a set of data has a normal distribution with a mean of 49 and a standard devation of 7 find the prcent of data within the following interval

less than 49

1 answer

To find the percentage of data less than 49, we need to calculate the z-score for the value 49 and use the z-table to find the percentage of data less than this z-score.

First, we calculate the z-score:

z = (X - μ) / σ
z = (49 - 49) / 7
z = 0

Next, we look up the z-score of 0 in the z-table, which corresponds to 50%. This means that 50% of the data is less than 49 in a normal distribution with a mean of 49 and a standard deviation of 7.

Therefore, the percentage of data less than 49 is 50%.