What does Mean Median Mode and Range mean in math terms?

Answer 1

In math, median is used to refer to the middle number in a group. To determine the median, you order the numbers from (lowest) to (highest) and find the middle number in the series. If there are two middle numbers, then add them together and divide by two to find the mean. For example, suppose you were given the following set of numbers, which for example were scores on an exam, and asked to give the mean grade:

74, 83, 65, 88, 85, 79, 91, 53, 76, 82, 44, 73

Now you rearrange them from least to greatest:

44, 53, 65, 73, 74, 76, 80, 82, 83, 85, 88, 91

Finding the middle numbers in the series, they are 76, and 80. Now add them together (76 + 80 = 156) and divide by 2 (156 / 2 = 78). So the mean for this set of numbers is 78.

The mode is the number in a series that occurs most frequently (most common. Simply find the number that appears the greatest number of times in the group. For example, the mode for the following set of numbers is 21.

34, 21, 7, 56, 21, 7, 98, 45, 21

It occurs 3 times. However, suppose there were another 7 in the series, there would be two modes: 21, and 7.

Mean is the average of a series. To determine it you add up all the number in the series, and then divide by the number of numbers in the series. Let's use the exam scores as an example:

74, 83, 65, 88, 85, 79, 91, 53, 76, 82, 44, 73

Add them all up, that makes 893. Now to find the mean, we divide by the number of numbers in the series, which is 12. The mean in this example is (893 / 12) 74.4, so that was the average score for the graph. It is more accurate than the median.

Range is how high and low a series spans. To determine it, you simply identify the lowest and highest numbers in the series, and subtract the lowest from highest. That is the range in a group of numbers. So, using the same set of number as an example:

74, 83, 65, 88, 85, 79, 91, 53, 76, 82, 44, 73

The lowest is 44, and the highest is 91. The range is (91 - 44) 47

mean: all the numbers added up and divided by the number of numbers

E.g

2,5,6,7

(2+5+6+7) divided by 4= 5

The mean is 5

Median is the middle number

e.g

1,2,3,4,5,

The middle number is 3

Median = 3

Mode: the mode is the most common number

E.g.

2,2,2,2,3,3,3,4,4,5

There are four 2's, three 3's, two 4's, and one 5

Mode = 2

Range is the highest number and lowest number subtracted from each other

e.g.

3,5,7,8,9

9-3=6

Range =6