# What are the mean, median, and mode of the following numbers?: 1,4,5,6,10,25?

##### 1 Answer
Oct 26, 2015

Let $S = \left[1 , 4 , 5 , 6 , 10 , 25\right\}$

The mean or average is $\overline{x} = \frac{1}{n} {\sum}_{i = 1}^{n} {x}_{i} = \frac{1}{6} \left(1 + 4 + 5 + 6 + 10 + 25\right) = 8 , 5$

The median is the middle data point, or in this case, since the number of data points is even, the median is the average or mean of the 2 middle points.
$\therefore$ median = $\frac{5 + 6}{2} = 5 , 5$

The mode is the number that occurs most frequently and so since here every number occurs only once, the mode is undefined.