Showing posts with label May 18. Show all posts
Showing posts with label May 18. Show all posts

Tuesday, May 18, 2010

Measure of Central Tendency

Measure of central tendency
-is a value that represents the center of a set of data
-can be median, mode, mean

Remember:


-When given a set of data always reorder the digits from least to greatest.

Median
-the middle number in a set of data after the data has been arranged or ordered, only if there is an odd number of items in the dat
a

-if there is an even number of items in the data the sum of the 2 middle numbers in the data set are divided to get the total


eg. 2, 5, 6, 8, 9, -median is 6

1, 3, 6, 8, 9, 10 -median is 7
-----(6+8) ÷ 2 =
7

3, 8, 2, 6, 5, 4, -median is
4.5
2, 3, 4, 5, 6, 8,
----(4+5) ÷ 2 =
4.5

Mode
-the most frequent occurring number in the set of data

-if you find
no number that repeats most often, then there is no mode.

eg. 3, 5, 7, 7, 9 -mode is
7

2, 2, 4, 6, 6, 8, 11 -mode is
2 and 6


1, 2, 3, 4 -mode; there is no mode



Try this:


Montreal scored the following goals in their last 10 games

5, 4, 3, 2, 1, 5, 3, 3, 7, 3


-Find the median and the mode:

1, 2, 3, 3, 3, 3, 4, 5, 5, 7


----------(3+3)
÷ 2
= 3

median-
3
mode-
3

Frequency Table

8, 8, 8, 10, 10, 11, 11, 11, 14, 14

----------(10+11)
÷ 2 = 10.5

median- 10.5


mode- 8, 11


Mean
-a measure of rental tendency

-the sum (adding) of a set of data divided by the number of values in set



eg. 4, 5, 8, 9, 9


- 4+5+8+9+9=35
- 35
÷ 5 =7


Try this- mean, median, mode


a) 4, 5, 6, 7, 7, 8, 8, 9, 9

mean-7, median-7, mode-7



b) 250, 250 300, 300, 400


mean-300, median-300, mode-250, 300