Question

You draw a sample from the blood of six KSU students are given the following numbers

96

120

140

160

180

150

Calculate the standard deviation of the mean (also known as, standard error of the mean)

enter your FINAL answer rounded to two digits (like 6.78 or 121.33)

Answer 1

Solution :

n = 6

= = (96 + 120 + 140+ 160 + 180+ 150) / 6 = 846 / 6 =  141

s =  (x - )² / n - 1  

= (96 - 141)² + (120 - 141)² + (140 - 141)²​​​​​​​ + (160 - 141)²​​​​​​​ + (180 - 141)²​​​​​​​ + (150 - 141)²​​​​​​​ / 6 - 1

= 4430 / 5

= 886

s  = 29.77

the standard deviation of the mean = s / n = 29.77 / ​​​​​​​6 = 12.15