Question

find the median and mode for the following distribution.2, 7, 2, 1, 5, 6, 9, 8, 16the median is ________ (type an integer or decimal rounded to one decimal place as needed)the mode is _________

Answer 1

We are given the following data set:

$2,7,2,1,5,6,9,8,16$

To determine the mode of the data set we will first arrange the data from smaller to larger numbers:

$1,2,2,5,6,7,8,9,16$

We have 9 digits. The median is the number in the middle of the data set, Therefore, the median is the number in the fifth position. That number is:

$\operatorname{median}=6$

The mode is the number that is repeated the most in the data set. That number is 2 since it is repeated twice and all other numbers appear only once.

$\mod e=2$