Sampling Error Definition - Online Math Tutoring

Sampling Error Definition - Online Math Tutoring Definition:- Sampling error is the difference between the value of a sample statistic and the value of the corresponding population parameter. In the case of mean, Sampling error= x? - Assuming that the sample is random and no non-sampling error has been made. Note: - Sampling error occurs because of the chance. The difference between the values of a sample statisticobtained from a sample and the value of the corresponding population parameter obtained from the population is called the sampling error. Example: -There are only five students in an advanced statistics class and midterm scores of these five students are 70 78 80 80 95 Find the sampling error. Solution: - The population mean is = (70+78+80+80+95)/ 5 = 80.60 Now random sample of three scores from this population is taken and this sample includes the scores 70, 80, and 95. The mean for this sample is x?= (70+80+95) /3 = 81.67 Consequently, Sampling error= x?- = 81.67 80.60 = 1.07 Other example:-Consider the following population of 10 members. 20 25 13 19 9 15 11 7 17 30 Select one random sample size of five and calculate the sampling error. Solution: - The population mean is = (20+25+13+19+9+15+11+7+17+30) /10 = 16.6 Now random sample size of five from this population is taken and this sample includes the scores 20, 9, 11, 17, and 30. The mean for this sample is x?= (20+9+11+17+30)/ 5= 17.4 Consequently, Sampling error= x?- = 17.4 16.6 = 0.8