Asked by
Vishal Ladher
on Nov 30, 2024
Verified
Which of the following statements is true?
A) The sum of the deviations from the mean is always zero.
B) The sum of the squared deviations from the mean is always zero.
C) The standard deviation is always smaller than the variance.
D) The distance between the first and third quartiles is twice the distance between the first and second quartiles.
E) None of these is true.
Deviations
Differences between observed values and some reference value, often the mean of the dataset.
Standard Deviation
A gauge for assessing the spread or differentiation of values within a group of data points.
Variance
A measure of the spread of a set of values, calculated as the average of the squared deviations from the mean.
- Comprehend the principles of central tendency and dispersion within datasets.
- Understand the principle of variability and the methods of its quantification including variance, standard deviation, and range.
Verified Answer
AJ
Learning Objectives
- Comprehend the principles of central tendency and dispersion within datasets.
- Understand the principle of variability and the methods of its quantification including variance, standard deviation, and range.