Question

use this graph to answer the following questions: what measure of center would be best for this data? select what measure of variability would be best for this data? select why? select

Explanation:

Step1: Analyze data distribution

The data appears to be approximately symmetric with a possible outlier on the right - hand side.

Step2: Select measure of center

For symmetric data with possible outliers, the median is a better measure of center than the mean as the mean is affected by outliers.

Step3: Select measure of variability

The inter - quartile range (IQR) is a good measure of variability for data with outliers. It represents the middle 50% of the data and is not affected by extreme values.

Step4: Justify choices

The median and IQR are robust measures and are not influenced by outliers, which can distort the mean and standard deviation.

Answer:

What measure of center would be best for this data? Median
What measure of variability would be best for this data? Inter - quartile range (IQR)
Why? The data is approximately symmetric with possible outliers, and median and IQR are robust to outliers.