Question

Based on the histogram below, how are data distributed, and where is the mean located in relation to the median?​

Answer 1

C) Positively skewed, and the mean is to the right of the median.

Explanation:

A histogram is a graphical representation of the distribution of numerical data.

A histogram is:

• Positively skewed (right-skewed) if the long tail is on the positive side of the peak.
• Negatively skewed (left-skewed) if the long tail is on the negative side of the peak.

Since the long tail of the given histogram is on the positive side of the peak, the histogram is positively skewed (right-skewed).

The mode is the value that occurs most often in a set of data.

In a histogram, the mode is the highest point.

The median and mean fall to the right of the mode in a right-skewed (positively skewed) histogram, and the mean is always to the right of the median: mode < median < mean.

The median and mean fall to the left of the mode in a left-skewed (negatively-skewed) histogram, and the mean is always to the left of the median: mean < median < mode.

So the correct definition of the given histogram is:

• C) Positively skewed, and the mean is to the right of the median.