Statistics · JEE Preparation Mathematics
The observations are 2, 4, 6 and 8. What is their standard deviation, using the population formula?
Practice question from Statistics (JEE Preparation Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-08F592
The observations are 2, 4, 6 and 8. What is their standard deviation, using the population formula?
- A.2
- B.√5Correct answer
- C.5
- D.√20
Solution
The mean is . The sum of squared deviations is , so the variance is . Hence, the standard deviation is .
More from Statistics
- The arithmetic mean of five observations is 12. If 3 is added to each observation, what will be the new arithmetic mean?
- The covariance between variables X and Y is 12. If the standard deviations of X and Y are 3 and 8 respectively, what is their coefficient o…
- For the data 4, 7, 9, 12, 15, 18, 21, calculate the first quartile, third quartile and coefficient of quartile deviation.
- Find the median of the observations 5, 17, 9, 13, 7, 15 and 11.
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed