Multiple choice

S.D of a data is 6. When each observation is increased by 1, then the S.D of new data is

  1. 5

  2. 7

  3. 6

  4. 8

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Standard deviation is a measure of dispersion. Adding a constant to every observation does not change the spread of the data, so the standard deviation remains the same.

AI explanation

Standard deviation is a measure of spread that is independent of changes in origin, meaning it is unaffected by adding a constant to every observation. When each observation is increased by 1, the variance and standard deviation remain exactly the same. Therefore, the standard deviation of the new data is 6.