Measures of Variation Quick Check Answers

1 answer

1. What is the range of a data set?

The range of a data set is the difference between the maximum and minimum values in the data set.

2. What is the interquartile range (IQR)?

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set. It measures the spread of the middle 50% of the data values.

3. What is the standard deviation?

The standard deviation is a measure of the dispersion or spread of a set of data values. It measures how tightly or loosely the data values are clustered around the mean.

4. How is variance related to standard deviation?

Variance is the square of the standard deviation. It is a measure of how spread out the data values are from the mean.

5. Why is it important to consider measures of variation in data analysis?

Measures of variation provide information about how spread out or clustered the data values are, helping to understand the distribution and variability within the data set. This information is important for making inferences, identifying outliers, and comparing different data sets.