Question

Find the mean, the median, and the mode of the collection of numbers. $$\begin{aligned}&12,5,6,15,12,9,13,1,4,6\\\&8,14,12\end{aligned}$$

Short answer

The mean of the collection of numbers is 9.23, the median is 9, and the mode is 12.

Step-by-step solution

Calculate the Mean

Add together all numbers in the list and divide by how many numbers are in the list. \(\frac{12+5+6+15+12+9+13+1+4+6+8+14+12}{13} = 9.23\)

Calculate the Median

Place the numbers in ascending order and find the middle number. If there is an even number, average the two middle numbers. In this case, the sorted order is: 1,4,5,6,6,8,9,12,12,12,13,14,15. Since there are 13 numbers, the seventh is the median, which is 9.

Calculate the Mode

Find the number that appears most frequently. In this case, 12 appears three times, more than any other number, making it the mode.