Question

Find the mean, the median, and the mode of the collection of numbers. $$1,5,2,4,3,6,1$$

Short answer

The mean of the given set of numbers is approximately 3.14, the median is 3 and the mode is 1.

Step-by-step solution

Calculate the Mean

Firstly, the mean or average needs to be calculated. For this, add all the numbers together and then divide the sum by the number of numbers. For this set \(1,5,2,4,3,6,1\), the sum is \(1+5+2+4+3+6+1=22\) and the total count is 7. So, the mean is calculated as \(\frac{22}{7}=3.14\)

Find the Median

The median is the middle value of a number set, ordered in ascending order. The given set arranged in ascending order is \(1,1,2,3,4,5,6\). Since there are 7 numbers, the median is the fourth number, which is 3.

Determine the Mode

The mode is the number that appears most frequently in the given set. In this set \(1,1,2,3,4,5,6\), the number 1 appears twice while all others appear only once, so the mode is 1.