Question

What is the mean, mode, range, and median of 55, 50, 58, 55, 60, 54, 56, 58, 58, 54?

Answer 1

Mean: 55.8
Mode: 58
Range: 10
Median: 55.5

Explanation:

First of all, in order to find the mean, one must add all the numbers together (55,50,58,55,60,54,56,58,58,54), which would give a total of 558.

After that, divide that total by the quantity of numbers (in other words, the total number of numbers, which in this case is 10). So, you would have to divide 558 by 10 leading to an answer of 55.8(the mean, which in other words is like finding the average).

Second of all, to solve for the mode, range and median what you can do (to make the problem easier) is list the numbers in order, which would look something like this (50,54,54,55,55,56,58,58,58,60).

Moreover, the mode is simply the number that most frequently shows up, which in this case is 58.

In addition, the range is simply the difference between the greatest number and the least number (60-50), which would be 10.

Furthermore, to find the median, you could start by crossing a number from either side of the list you made, but you must do it to both sides(e.g. cross out the number 50 from the left side, then cross out the number 60 from the right side, then cross out the number 54 from the left side and then the number 58 from the left side until you reach the numbers 55 and 56).

Since, there are 10 numbers, there would be 2 numbers left where if it were an odd number we were dealing with, there would only one number left, which would have automatically been the median*.

However, that is not the case so we would have to add both numbers(56+55) which would give us 111. Then we would have to divide that number by 2(so, in other words, find the average of both numbers) which is 55.5.

*In other words, the median is like the number in the middle.
That is how you find the mean, mode, range and median for this problem.