Inverse Normal Distribution

Front

What is the mean (μ) in a normal distribution?

Back

The mean (μ) is the average value of a set of data points in a normal distribution, representing the center of the distribution.

Front

What is the standard deviation (σ) in a normal distribution?

Back

The standard deviation (σ) measures the dispersion or spread of data points around the mean in a normal distribution.

Front

What does it mean for a score to be in the top 2% of a normal distribution?

Back

A score in the top 2% means it is higher than 98% of all scores in the distribution.

Front

How do you find the z-score for a given percentile in a normal distribution?

Back

The z-score can be found using a z-table or statistical software, which provides the number of standard deviations a data point is from the mean.

Front

What is the formula to convert a z-score to an x value in a normal distribution?

Back

x = μ + z * σ, where x is the value, μ is the mean, z is the z-score, and σ is the standard deviation.

Front

What is the 75th percentile in a normal distribution?

Back

The 75th percentile is the value below which 75% of the data points fall.

Front

What is the significance of the standard normal distribution?

Back

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1, used for standardizing scores.

Front

What does it mean if a distribution is asymmetrical?

Back

An asymmetrical distribution does not have a mirror image on either side of the mean, indicating that data points are not evenly distributed.

Front

How do you determine the minimum height in the top 17.5% of a normal distribution?

Back

Find the z-score corresponding to the 82.5th percentile (100% - 17.5%) and use the formula x = μ + z * σ.

Front

What is the relationship between percentiles and z-scores?

Back

Percentiles indicate the position of a score in a distribution, while z-scores quantify how many standard deviations a score is from the mean.