Question

A researcher records the levels of attraction for various fashion models among college students. He finds that mean levels of attraction are much higher than the median and the mode for these data. a. What is the shape of the distribution for the data in this study? b. What measure of central tendency is most appropriate for describing these data? Why?

Answer 1

a) Positively skewed

b) Median

Explanation:

We are given the following in the question:

For a particular data, mean levels of attraction are much higher than the median and the mode for these data.

`\text{Mean} > \text{Median}\\\text{Mean} > \text{Mode}`

a) Shape of data

Since the mean of data is greater than the median and mode of the data, thus, is a skewed data.

For a positively skewed data:

`\text{Mean} > \text{Median} > \text{Mode}`

Thus, the given data is positively skewed data.

b) Measure of central tendency

Since it is a positively skewed data, median is a better measurement of central of tendency.

Advantage of median:

• The median is less affected by outliers and skewed data than the mean.