Final answer:
The 45th percentile on a standard normal distribution represents the value below which 45% of the data falls. It is a measure of central tendency and provides information about the distribution of data.
Step-by-step explanation:
The 45th percentile on a standard normal distribution can be found by using a z-table or a calculator that can perform inverse normal calculations. Since the normal distribution is symmetric, the 45th percentile is the same as the 55th percentile. This means that 45% of the values in the distribution are below the 55th percentile.
In statistical analysis, the 45th percentile can be interpreted as the value below which 45% of the data falls. For example, if we have a data set of test scores, the 45th percentile would represent the score below which 45% of the students scored. It is a measure of central tendency and provides information about the distribution of data.