EDUCATION (CBSE/UGC NET)

Detailed explanation-1: -The variance and the standard deviation are measures of the spread of the data around the mean. They summarise how close each observed data value is to the mean value. In datasets with a small spread all values are very close to the mean, resulting in a small variance and standard deviation.

Detailed explanation-2: -A standard deviation (or ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Detailed explanation-3: -Range, variance, and standard deviation all measure the spread or variability of a data set in different ways. The range is easy to calculate-it’s the difference between the largest and smallest data points in a set.

Detailed explanation-4: -[statistics] A statistical measure of the spread of values from their mean, expressed in standard deviation units, where the z-score of the mean value is zero and the standard deviation is one.

Detailed explanation-5: -It tells you, on average, how far each score lies from the mean. In normal distributions, a high standard deviation means that values are generally far from the mean, while a low standard deviation indicates that values are clustered close to the mean.