handout240.3 - Stat 240.Handout 3. Measures of center (or...

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1 Stat 240.Handout 3. Measures of center (or location) (Ch2.4), Measure of variations (Ch 2.5) Graphs provide a global/qualitative description of a sample, but they are imprecise for use in statistical inferences. We use numerical measures which can be calculated for either a sample (these measures are called statistics) or a population (parameters). - Measures of location. -Measures of variability. Household Income Rises, Poverty Rate Declines, Number of Uninsured Up Real median household income in the United States climbed between 2005 and 2006, reaching $48,200, according to a report released today by the U.S. Census Bureau. This is the second consecutive year that income has risen. Meanwhile, the nation’s official poverty rate declined for the first time this decade, from 12.6 percent in 2005 to 12.3 percent in 2006. There were 36.5 million people in poverty in 2006, not statistically different from 2005. The number of people without health insurance coverage rose from 44.8 million (15.3 percent) in 2005 to 47 million (15.8 percent) in 2006. These findings are contained in the Income, Poverty, and Health Insurance Coverage in the United States: 2006 report http://www.census.gov/cps •Real median household income of white households rose 1.1 percent between 2005 and 2006 (from $50,100 to $50,700), the first real increase in annual household income for this group since 1999. Asian households had the highest median income at $64,200, followed by non- Hispanic white ($52,400), Hispanic ($37,800) and black ($32,000) households. Income levels remained statistically unchanged between 2005 and 2006 for each of these groups. •The number of uninsured children increased from 8 million (10.9 percent) in 2005 to 8.7 million (11.7 percent) in 2006. Measures of center (or location) (Ch2.4), • The mode : is the sample value that occurs most frequently. • The median : is the value that falls in the middle position when the sample values are ordered from the smallest to the largest. • The mean : is the average value, the balance point. – The mode can be computed for both qualitative and quantitative variables. – The median and the mean we compute for quantitative variables.
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2 Mode • The mode: is the sample value that occurs most frequently. • From the frequency distribution, identify the value with largest frequency.
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handout240.3 - Stat 240.Handout 3. Measures of center (or...

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