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OGT Math - Sampling

OGT Math Sampling Data Analysis 16 cards

Population an entire group of persons or elements that have at least one thing in common
Sample a small group of persons or elements selected from the total population
Random sampling Random sampling is where each member of the sample is randomly selected from the population
Sampling bias Sampling bias is caused by systematic errors in the sampling process.
Sample size In general, the larger the sample size, the more representative it is of the population
bias unfair - results favoring one group over another
biased sampling a sample that over or underrepresents a portion of the population
Representative The data collected should represent the whole population, not just a small piece or an extreme.
The problem with collecting the sample water from the part of the lake nearest to the stream that runs into the lake. Not representative
The problem with evaluating an ice cream sundae by selecting one of the peanuts and reporting on it. Not representative, not a good cross-section of the population
The problem with evaluating traffic at a location by watching it from 7 to 8 a.m. Not representative since it is not a cross-section over a long enough period of time. Traffic at that one time may be unlike the typical situation.
The problem with picking a new school song by surveying the choir. Not representative. It likely that the choir is made up of students with similar interest that may or may not be a good cross-section of the school.
The problem with evaluating the quality of the candy a factory by checking either the first or last batches produced. Not representative. Not random. First and last bachtes may be unlike candy produced in between.
The problem with evaluating a high school by sureying 5 students. Sample is not large enough
The problem with gathering data by posting a survey on a web page. Sample will only consist of those with computer access. People could potentially skew the results by filling out multiple surveys.
The problem with evaluating a teacher by gathering data the first 5 minutes of 20 lessons. Sample does not represent the end or middle of the lessons.
Created by: JHS