Question

Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

The data are skewed and there is an outlier.
The data are symmetric and there is an outlier.
The peak is equal to the median and the data are skewed.
The mean is equal to the median and the data are symmetric.

Answer 1

The data is skewed and there is an outlier.

Answer 2

A box and whisker plot is used to display information about the range, the median and the quartiles .The box plot is a standardized way of displaying the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum.Data can be "skewed", meaning it tends to have a long tail on one side or the other .

THere are points in the graph which are falling outside the data set We have outlier in the set of datas.

Among the given options the option that holds true for the given graph is

The data are skewed and there is an outlier.