TY - JOUR
AU - Al-Saleh, Mohammad Fraiwan
AU - Yousif, Adil Eltayeb
PY - 2016/04/03
Y2 - 2021/05/11
TI - Properties of the Standard Deviation that are Rarely Mentioned in Classrooms
JF - Austrian Journal of Statistics
JA - AJS
VL - 38
IS - 3
SE - Articles
DO - 10.17713/ajs.v38i3.272
UR - https://ajs.or.at/index.php/ajs/article/view/vol38%2C%20n3%20-%205
SP - 193–202
AB - Unlike the mean, the standard deviation ¾ is a vague concept. In this paper, several properties of ¾ are highlighted. These properties include the minimum and the maximum of ¾, its relationship to the mean absolute deviation and the range of the data, its role in Chebyshev’s inequality and the coefficient of variation. The hidden information in the formula itself is extracted. The confusion about the denominator of the sample variance being n ¡ 1 is also addressed. Some properties of the sample mean and variance<br />of normal data are carefully explained. Pointing out these and other properties in classrooms may have significant effects on the understanding and the retention of the concept.
ER -