Question

Which of the following not false

1. the square root of the mean of squares of deviations of observations from their mean is standard deviation
2. The variability of a data will decrease if sd increases
3. The stability or the consistency of a data increases as sd decreases
4. The data with less sd is better than a data with high sd provided that the two data were expressed with the same unit.

• A. 2, 3
• B. 1, 3, 4
• C. All
• D. 1, 2

Answer 1

Answer:

B. 1, 3, 4

The Standard Deviation is the best measure of dispersion. It is defined as the square root of the mean of squares of deviations of observations from their mean. The variability of a data will increase if sd increases. The stability or the consistency of a data increases as sd decreases The data with less sd is better than a data with high sd provided that the two data were expressed with the same unit.