RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What measure of center was most affected by the outlier?
A
mean
B
median
C
mode
D
range
Explanation: 

Detailed explanation-1: -Mean is the only measure of central tendency that is always affected by an outlier. Mean, the average, is the most popular measure of central tendency.

Detailed explanation-2: -For distributions that have outliers or are skewed, the median is often the preferred measure of central tendency because the median is more resistant to outliers than the mean.

Detailed explanation-3: -C) The mean is the average of all data values. If an outlier exists, the mean will be pulled towards that value. A much larger outlier will make the mean very large and a small outlier will make it very small which will make the measure inaccurate. So mean is affected the most by outliers.

Detailed explanation-4: -The more extreme the outlier, the more the standard deviation is affected.

There is 1 question to complete.