MEASURES OF CENTRAL TENDENCY

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Presentation transcript:

MEASURES OF CENTRAL TENDENCY

- THE MEAN x - x = sum of data number of data Ex: 1,5,10,15,25 -

use this to show the totals of the columns Data with Frequencies - Value (x) Frequency (F) F x 1 2 3 6 4 8 5 Σ F = 9 Σ Fx = 26 - Σ Fx x = SUM OF (Fx) Σ F SUM OF F Σ means SUM OF use this to show the totals of the columns - x = 26 9 x = 2.89 -

THE MODE Mo The mode is the value that occurs most frequently. Ex: 3,7,7,8,8,9,9,10,11,15,15,15 Mode is: 15 If there are 2 numbers that occur the most then It is called bimodal.

The “modal class” is the class with the highest frequency. Grouped Data What is the mode? Age F 12 25 13 22 14 30 15 16 29 This distribution is called “bimodal” – meaning there are two modes: 14 and 15. Ex: The “modal class” is the class with the highest frequency. Another example: Age F [10-15[ 3 [15-20[ 7 [20-25[ 9 [25-30[ 4 The class with the highest frequency is [20-25[. It is called the “Modal class.”

3 numbers on each side of the 6 THE MEDIAN Md Median separates an ordered set of data. (#’s go from smallest to greatest) MEDIAN Example: 1,2,3,6,10,11,14 MEDIAN Example: 1,2,3, 6 ,10,11,14 3 numbers on each side of the 6

Even # of Data Odd # of Data To find the median you must put the data in ascending order first. Even # of Data Odd # of Data Example: 2,3,4,4,5,6,9 Example: 2,3,4,5,6,6,7,8 There are 7 numbers 7/2 = 3.5 Round UP to 4th number It will be the 4th number from the beginning When you have an even # of data, the median # is the average of the 2 middle numbers. 8/2 = 4 4th and 5th numbers 2 5+6 Md = 5.5 Md = 4 When you have an odd # of data, the median WILL BE one of the data items.