Sample Mean - Online Math Tutoring

Sample Mean - Online Math Tutoring Definition: -The sample mean is the average of a group of numbers and is computes by summing all the numbers and dividing by the numbers. Because the sample mean is so widely used, most statisticians refer to it simply as the mean or average. The sample mean is represented by x?. The formula for computing the sample mean is given as follows Sample mean = Sum of all values/ Number of sample. x? = x / n Where.x= Sum of all values n = Number of sample Example: - Last years incomes of five randomly selected families were 36,150 95,750 54,985 77,490 23,740 Find the sample mean. Solution: -The sample mean formula is Sample mean = Sum of all values/ Number of sample. x? = x / n =(36150+95750+54985+77490+23740)/ 5 Since there are five sample So n= 5 =288115/5 =57623 Therefore sample mean of this data set= 57,623 Other example: - The age of 10 randomly selected students from a class are 21 19 27 22 29 19 25 21 22 30 Find the sample mean. The sample mean formula is Sample mean = Sum of all values/ Number of sample. x? = x / n =(21+19+27+22+29+19+25+21+22+30)/10 Since there are ten sample So n= 10 = 235/ 10 =23.5 Therefore sample mean of this data set= 23.5