slide3

# slide3 - Chapter 3 Numerical Descriptive measures Bin Wang...

This preview shows pages 1–13. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 3: Numerical Descriptive measures Bin Wang [email protected] Department of Mathematics and Statistics University of South Alabama Mann E6 1/32 3.1 Measures of Central Tendency for Ungrouped Data Mann E6 2/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.1 Mean Mean of population data : μ = ∑ x N Mean of sample data : ¯ x = ∑ x n Mann E6 2/32 Example (Identity Fraud Victims in 2004 for Six States) Mann E6 3/32 Example (Identity Fraud Victims in 2004 for Six States) X x = 122 , 129 and ¯ x = ∑ x n = 122 , 129 6 = 20 , 354 . 83 Mann E6 4/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.2 Median Definition The median is the value of the middle term in a data set that has been ranked in increasing order. Mann E6 5/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.2 Median Definition The median is the value of the middle term in a data set that has been ranked in increasing order. Example The following data give the weight lost (in pounds) by a sample of five members of a health club at the end of two months of membership. 10 5 19 8 3 Find the median. Mann E6 5/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.2 Median Definition The median is the value of the middle term in a data set that has been ranked in increasing order. Example The following data give the weight lost (in pounds) by a sample of five members of a health club at the end of two months of membership. 10 5 19 8 3 Find the median. Solution : First, rank the data in increasing order 3 5 8 10 19 Second, find the middle term: 8. Mann E6 5/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.3 Mode Definition The mode is the value that occurs with the highest frequency in a data set. Mann E6 6/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.3 Mode Definition The mode is the value that occurs with the highest frequency in a data set. Example Find the mode of 10 5 8 19 8 3 Mann E6 6/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.3 Mode Definition The mode is the value that occurs with the highest frequency in a data set. Example Find the mode of 10 5 8 19 8 3 Remarks: 1) A data set could have no mode, one mode ( unimodal ), two modes ( bimodal ) or more than two modes ( multimodal ). Mann E6 6/32 3.1 Measures of Central Tendency for Ungrouped Data 3.1.3 Mode Definition The mode is the value that occurs with the highest frequency in a data set....
View Full Document

## This note was uploaded on 02/10/2012 for the course ST 210 taught by Professor Wangs during the Fall '09 term at S. Alabama.

### Page1 / 52

slide3 - Chapter 3 Numerical Descriptive measures Bin Wang...

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online