Question

Find the mean, the median, and the mode of the collection of numbers. $$4,4,4,4,4,4$$

Short answer

The mean, the median, and the mode of the given set of numbers are all 4.

Step-by-step solution

Find the Mean

To find the mean (average), add up all the numbers and then divide by the number of numbers. In this case, all numbers are 4 and there are 6 of them. Sum of all the numbers is \(4 \times 6 = 24\). Divide the sum by the number of numbers, which gives the mean as \(24/6 = 4\).

Find the Median

The median is the number that falls exactly in the middle of a data set, after sorting the data from lowest to highest. In this case, the list is already sorted with all numbers being identical, 4. For even number of terms as in this case (6 numbers), the median is the average of the middle two numbers. Here every number is the same, so the median is also 4.

Find the Mode

The mode is the number that appears most frequently in a data set. In this case, 4 is the only number and hence appears the most frequently. Therefore, the mode is also 4.