Question

Why might we like the distribution of a measure to be normal?

A) Normal distributions are easier to analyze statistically.

B) Normal distributions are more aesthetically pleasing.

C) Normal distributions indicate higher reliability.

D) Normal distributions are necessary for parametric tests.

Answer 1

The distribution of a measure is preferred to be normal for several reasons. Normal distributions are easier to analyze statistically, necessary for parametric tests, and indicate higher reliability.

Step-by-step explanation:

In statistics, we prefer the distribution of a measure to be normal for several reasons:

1. Normal distributions are easier to analyze statistically: The properties of normal distributions are well-studied and understood, and many statistical techniques are based on the assumption of normality. This makes the analysis and interpretation of data easier and more reliable.
2. Normal distributions are necessary for parametric tests: Many statistical tests, such as t-tests and ANOVA, assume that the data follow a normal distribution. If the data are not normally distributed, these tests may not produce accurate or valid results.
3. Normal distributions indicate higher reliability: In many cases, a normal distribution suggests that the data is more reliable and less affected by outliers or extreme values. This can make the data more representative and generalizable.