Question

Diego arranges the students in his math class from shortest to tallest and measures the height in inches of each student in the class. Use the shape of the distribution to compare the mean and median. Are the mean and median equal? If not, which is greater? Explain your reasoning.

Answer 1

Answer:

Explained below.

Step-by-step explanation:

A graph is formed using the height of students in Diego's math class.

It is provided that he arranges the students from shortest to tallest and measures the height in inches of each student in the class.

A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the distribution and the graph has a longer tail towards the right.

For a positively skewed data: Mean > Median

A distribution is said to be skewed to the left, or negatively skewed, if maximum of the data are collected on the right of the distribution and the graph has a longer tail towards the left.

For a negatively skewed data: Mean < Median

A distribution is said to be symmetric, if maximum of the data are collected in the middle of the distribution and the graph has equal proportion of tails on both sides.

For a symmetric data: Mean = Median