Question

Use the shape of distributions to select the appropriate measures of center and variability for the number of hits by players in each of two leagues compare the number of hits by players in the two leads using these measures explain each value needs to your comparison

Answer 1

To compare the number of hits by players in two leagues:

Shape of Distributions:

Symmetric: Use mean and standard deviation.

Skewed or with outliers: Use median and interquartile range (IQR).

Measures of Center:

Mean for symmetric distributions.

Median for skewed or outlier-prone distributions.

Measures of Variability:

Standard deviation for symmetric.

IQR for skewed or with outliers.

Step-by-step explanation:

If League A has a higher mean/median and lower standard deviation/IQR, it has more hits on average and is more consistent.

If League B has these values, it performs better on average and is more consistent.