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Understanding Measures of Central Tendency in Statistical Analysis

This document delves into measures of central tendency, including mean, median, and mode. It starts with frequency distribution of weights in pounds and monthly average cash balances among customers. The median is calculated, and interpretations of skewness (left, right, and normal) are provided. The importance of these measures in understanding data sets is emphasized. Additionally, it outlines a project analyzing stock prices in various industries, requiring a minimum of 100 data points per selected stock to assess trends effectively using statistical tools.

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Understanding Measures of Central Tendency in Statistical Analysis

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  1. Measures of Central Tendency (Contd…) Prepared by: Bhakti Joshi Date: November 28, 2011

  2. Frequency distribution of Weights in Pounds of a sample of packages 15.2

  3. Monthly Average Cash Balances of 600 customers 142.25

  4. Median …Central Item of a data set (N+1) /2 = M N = Number of observations M= Median

  5. Median Interpretation?

  6. Estimated median weight of the fish caught Item or number that represents median 383+1 / 2= 192nd item Class that contains the median item 70 – 79.5 Width of the weights interval 9.5 Estimated median value? (192 – (181+1) 84 * 9.5 + 70 = 71.13

  7. Mode …Value that is repeated most often in the data set. Mode is not used for ungrouped data Interpretation?

  8. Relationship between Mean-Median-Mode • Mean < Median < Mode = Negatively (left) Skewed • Mean> Median> Mode = Positively (right) Skewed • Mean = Median = Mode = Normal

  9. Normal Positively (right) Skewed Negatively (left) Skewed

  10. Projects Stock Prices of Companies representing any one of the following industries listed on the BSE or NSE • Textiles • Banking • Automobiles • IT/Telecommunication • Pharmaceutical • Foods & Beverages • Infrastructure • Steel • Oil & Gas • Chemicals

  11. Project Requirements • Select 2 or more stocks of representative industry • Stock prices of minimum 100 data points each • Background of the representative companies • Names • Industry • Occupation (Trading, manufacturing, distribution, etc) • Products/services • Customers • Select statistical tools to compare and analyze the trends and performance of the stocks in the stock market

  12. Email: bhaktij@gmail.comWebsite: www.headscratchingnotes.net

  13. Frequency and Distribution Curve

  14. Geometric Mean

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