| 1. |
if the mean of first 10 observations is 15 and the mean of first 15 obseis 10. find the mean of all observations |
|
Answer» Given: The mean of FIRST 10 observations = 15 The mean of another 15 observations = 10 To find: The mean of all observations Solution: The formula to find the mean of the observations is given as follows: For the first 10 observations Using the formula, we get 15 = ⇒ Sum of first 10 observations = 15 × 10 ⇒ Sum of first 10 observations = 150 For the 15 observations Using the formula, we get 10 = ⇒ Sum of another 15 observations = 10 × 15 ⇒ Sum of another 15 observations = 150 Now, The sum of all (15 + 10 =) 25 observations will be, = [Sum of first 10 observations] + [Sum of another 15 observations ] = 150 + 150 = 300 ∴ Mean of all 25 observations = = 12 Thus, the mean of all observations is 12. ------------------------------------------------------------------------------------------ ALSO View: The mean of 5 observation is 15. If the mean of first three observations is 14 and that of the last three is 17, find the third observation Find the mean of 25 numbers, if the mean of 15 of them is 18 and the mean of remaining numbers |
|