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Rustine and Nathaniel

Page history last edited by PBworks 16 years, 11 months ago

Data Management and Graphing

MEAN:

The mean of a list of numbers is also called the average. It is found by adding all the numbers in the list and dividing by the number of numbers in the list.

EXAMPLES:

Find the mean of 3, 6, 11, and 8.

We add all the numbers, and divide by the number of numbers in the list, which is 4.

(3 + 6 + 11 + 8) ÷ 4 = 7

So the mean of these four numbers is 7.

Find the mean of 11, 11, 4, 10, 11, 7, and 8 to the nearest hundredth.

(11 + 11 + 4 + 10 + 11 + 7 + 8) ÷ 7 = 8.857…

which to the nearest hundredth rounds to 8.86.

MEDIAN:

The median of a list of numbers is found by ordering them from least to greatest. If the list has an odd number of numbers, the middle number in this ordering is the median. If there is an even number of numbers, the median is the sum of the two middle numbers, divided by 2. Note that there are always as many numbers greater than or equal to the median in the list as there are less than or equal to the median in the list.

EXAMPLES:

The students in Bjorn's class have the following ages: 4, 29, 4, 3, 4, 11, 16, 14, 17, 3. Find the median of their ages. Placed in order, the ages are 3, 3, 4, 4, 4, 11, 14, 16, 17, 29. The number of ages is 10, so the middle numbers are 4 and 11, which are the 5th and 6th entries on the ordered list. The median is the average of these two numbers:

(4 + 11)/2 = 15/2 = 7.5

The tallest 7 trees in a park have heights in meters of 41, 60, 47, 42, 44, 42, and 47. Find the median of their heights. Placed in order, the heights are 41, 42, 42, 44, 47, 47, 60. The number of heights is 7, so the middle number is the 4th number. We see that the median is 44.

MODE:

The mode in a list of numbers is the number that occurs most often, if there is one.

EXAMPLE:

The students in Bjorn's class have the following ages: 5, 9, 1, 3, 4, 6, 6, 6, 7, 3. Find the mode of their ages. The most common number to appear on the list is 6, which appears three times. No other number appears that many times. The mode of their ages is 6.

Information from: http://www.mathleague.com