Question

fatima claims that the distribution of u is uniform with a median of 0.4 field goal percentage. is fatima’s claim supported by the table?

Answer 1

Fatima's claim is not supported by the table because, the distribution is skewed right, with a median of 0.4 field goal advantage.

From the table, the median position is calculated as:

$\mathbf{Median = \frac{1}{5} th}$

$\mathbf{Median = 0.2\ nd }$

The 0.2nd data falls in the 0.4 field goal category.

So, the median element is:

$\mathbf{Median = 0.4}$

However, the distribution of the table are concentrated on the left.

This means that, the distribution is not uniform, instead it is skewed right.

A uniform distribution has a skewness of 0.

Hence, Fatima's claim is not supported by the table

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