Question

Choose the reason for the answer in question number 10 from the list below and type the answer.

Answer 1

The mean and median are descriptive statistics, that describes the center of the data

The correct option that gives the reason for the answer in question number 10 (why the footprint distribution is positively skewed) is the option;

A. Mean > Median

Reason:

Question; The likely table required for the question is presented as follows;

$\begin{array}{|cc|c|}\mathbf{Male}&&\mathbf{Shoe \ print}\\ \# 1&&32.2\\ \#2&&30.1\\ \# 3&&29.0\\\# 4&&31.8\\ \# 5&&29.4\end{array}\right]$

Question 10 is if the variable (footprint) is positively skewed

A positively skewed distribution is one in which the mode is less than the median, which in turn is less than the mean of the data

Mode < Median < Mean

In the given data, we have;

$Mean =\dfrac{32.2 + 30.1 + 29.0 + 31.8 + 29.4}{5} = 30.5$

The median = 29.0

∴ Median < Mean (positively skewed distribution)

Median < Mean, therefore, the mean > the median, which indicates that, the footprint distribution is positively skewed

Therefore;

The reason for the above response to question number 10, is the option;

A. Mean > Median

Learn more about mean and median here:

brainly.com/question/18560278