What do you look for when comparing distributions?
Overview. When you compare two or more distributions you want to look at the shape, center, spread, and unusual features. It is the same criteria when describing a distribution as comparing distributions.
When comparing two or more distributions What do you consider?
a) Absolute measures of dispersion. Relative measures of dispersion.
How do you compare z scores?
The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.
How do you show that two distributions are the same?
The Kolmogorov-Smirnov test tests whether two arbitrary distributions are the same. It can be used to compare two empirical data distributions, or to compare one empirical data distribution to any reference distribution. It’s based on comparing two cumulative distribution functions (CDFs).
How do you analyze a normal distribution?
The properties of any normal distribution (bell curve) are as follows:
- The shape is symmetric.
- The distribution has a mound in the middle, with tails going down to the left and right.
- The mean is directly in the middle of the distribution.
- The mean and the median are the same value because of the symmetry.
How do you compare distributions in AP Stats?
When comparing two distributions, students should compare shape, center, variability and outliers between the two distributions using comparative words (less than, greater than, similar to). Don’t simply list shape, center, variability, and outliers for each distribution. They must compare.
Why do we convert normal distribution to standard normal distribution?
Standardizing a normal distribution. When you standardize a normal distribution, the mean becomes 0 and the standard deviation becomes 1. This allows you to easily calculate the probability of certain values occurring in your distribution, or to compare data sets with different means and standard deviations.
How do you describe the relationship of the Z table to the standard normal distribution table?
A z-score table shows the percentage of values (usually a decimal figure) to the left of a given z-score on a standard normal distribution. The corresponding area is 0.8621 which translates into 86.21\% of the standard normal distribution being below (or to the left) of the z-score.