RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

MEASURES OF CENTER AND SPREAD

 Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If a number is added to a set that is far away from the mean, how does this affect standard deviation?
 A increase B decrease C stay the same D both increase and decrease
Explanation:

Detailed explanation-1: -(c) Adding a number to the set such that the number is further away from the mean, will increase the SD. This is because the average distance of the numbers from the mean increases.

Detailed explanation-2: -The standard deviation of a set measures the distance between the average term in the set and the mean. So, if the numbers get closer to the mean, the standard deviation gets smaller. If the numbers get bigger, the reverse happens.

Detailed explanation-3: -The standard deviation is calculated as the square root of variance by determining each data pointâ€™s deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.

Detailed explanation-4: -The further the data points are from the mean, the greater the standard deviation.

There is 1 question to complete.