Basic Social Statistics-Lecture02B-Sociology

Measures of central tendency summarize the scores of a frequency distribution into a single number – the average or value most typical of all the scores. Variables, Central Tendency, Ungrouped Data, MODE, Grouped Data, MEDIAN, continuous variable, MEAN, Dichotomy, Basic Social Statistics, Lecture Slides, Sociology, David Knoke, Minnesota State University (MN), United States of America (USA)

Category: Psycology and Sociology
Subject: Basic Social Statistics
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Published: 23 gennaio 2012
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Chapter 2 Describing Variables 2.4 Measures of Central Tendency Central Tendency Measures Measures of central tendency summarize the scores of a frequency distrib

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Chapter 2 Describing Variables 2.4 Measures of Central Tendency Central Tendency Measures Measures of central tendency summarize the scores of a frequency distribution into a single number – the average or value most typical of all the scores. How familiar are you with such “average values” as: • College GPA • Baseball batting averages • Dow-Jones industry stock market index • Unemployment rate In statistics, three commonly used central tendency measures are the mode, median, and mean, which can be calculated for grouped and ungrouped data. Mode for Ungrouped Data MODE: the single category among the K categories in a distribution with the largest number (or highest percentage) of observations Find the mode of these 12 scores (HINT: Rewrite them in order from lowest to highest): Y1 = 4 Y7 = 6 Y2 = 3 Y3 = 8 Y4 = 6 Y8 = 7 Y9 = 2 Y10 = 6 Y5 = 5 Y6 = 4 Y11 = 4 Y12 = 6 Mode = ________ The Mode for Grouped Data One type of grouped frequency distribution shows the lower and upper limits of collapsed ordered scores. In this case, the grouped data mode is the midpoint of the category with the largest number of responses (i.e., highest percentage). Calculate midpoint by summing the limits and dividing by 2. Find the modal category for AGE20, an ordered discrete variable created by recoding AGE into four 20-year intervals: AGE 20-39 40-59 60-79 Frequency 695 752 437 Percent 35.2 38.1 22.0 80-99 Total 92 1976 4.7 100.0 Modal value = __________________ The Mode For Grouped Data Another type of grouped data table displays categories without collapsed values. Its mode is the score or label of the category with the most cases (i.e., largest percentage). Find the modal category for REGION4, a nonordered discrete variable with K = 4 categories: Frequency Percent 355 17.5 435 21.5 731 36.1 502 24.8 2023 100.0 Valid 1 NORTH EAST 2 MIDWEST 3 SOUTH 4 WEST Total Modal region = ______________________ The Median for Ungrouped Data MEDIAN (Mdn): the ou

Basic Social Statistics-Lecture02B-Sociology

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