Question

A group of six sixth - graders measure and record their heights . The heights ( in inches ) are shown below find the mean and median of the heights . 52, 62, 53 , 61 , 55, 53,

Answer 1

SOLUTION

The numbers are 52, 62, 53, 61, 55 and 53 and we are told to find the mean.

Mean means average. And it can be found as follows

$\begin{gathered} \text{Mean = }\frac{s\text{um of items}}{n\text{umber of items }} \\ \\ \text{Mean = }\frac{52+62+53+61+55+53_{_{_{_{_{_{_{}}}}}}}}{6}\text{ = }\frac{336}{6} \\ \\ Mean\text{ = 56} \end{gathered}$

For the median, we will arrange the numbers in ascending order.

This becomes 52, 53, 53, 55, 61, 62.

53 and 55 are the middle items.

The median becomes

$\begin{gathered} \text{Median }\frac{53+55}{2}\text{ = }\frac{108}{2} \\ \\ \text{Median = 54} \end{gathered}$

Therefore, the mean = 56 and the median = 54