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Math 1070 Measure of Center

by: Shama Desai

Math 1070 Measure of Center Math 1070

Marketplace > Georgia State University > Statistics > Math 1070 > Math 1070 Measure of Center
Shama Desai


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About this Document

These notes covers Mean, Median, Mode, Standard Deviation and Mean of Frequency Distribution.
Elementary Statistics
Rahman Husneara
Class Notes
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This 2 page Class Notes was uploaded by Shama Desai on Monday September 26, 2016. The Class Notes belongs to Math 1070 at Georgia State University taught by Rahman Husneara in Fall 2016. Since its upload, it has received 7 views. For similar materials see Elementary Statistics in Statistics at Georgia State University.


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Date Created: 09/26/16
Chapter 3 Section 2: Measure of Center  Measure of Center: The value that is located in the center of a data  Mean (arithmetic mean): The sum of all the numbers in the data set divided by the total number of values in the data set  To find the mean, add all the numbers that are given then divide that sum by the total number of values you have Ex: 1,2,4,8,10 1) 1+2+4+8+10 = 25 2) 25/5 = 5 Mean of a sample: xx̅ = (∑x/n) Mean of a population: µ = (∑x/n)  Median: The number in the middle when the numbers are arranged in numerical order from smallest to the biggest  To find the median, arrange all the numbers from smallest to the biggest or biggest to the smallest, then count the number of values you have.  If it’s odd, then your median is the middle number of your data set.  If the total number of values are even, then take the two middle numbers and take the mean of those two. Ex: 5,9,4,10,6 1) 4,5,6,9,10 2) Mode: 6  Mode: The number that occurs the most in the data set  To find the mode check the data set for the most occurring number and that’s the mode  If there are two modes, then the set is called bimodal  If there are more than two modes, then the set is called multimode  If there isn’t any value that is occurring more than once then there is no mode Ex: a. 5,5,6,8,10 modes: 5 b. 5,6,7,8,9 modes: none c. 5,5,6,6,7,8 modes: 5,6 (bimodal) d. 5,5,6,6,7,7,8 modes: 5,6,7 (multimode)  Midrange: A value that is in between the maximum and minimum.  To find Midrange use the formula: (maximum) + (minimum)/2 Ex: 5,8,12,4,6 1) 12+4 = 16 2) 16/2 =8 midrange = 8  Mean from a Frequency Distribution: mean  To find mean from a frequency distribution,  First take the midpoint of all the intervals Chapter 3 Section 2: Measure of Center  Multiply the frequency by the midpoint and then add (fx)  Add all the frequency(f)  Divide the sum of fx by the sum of f Formula: : xx̅ = (∑(f*x)/∑f)


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