

InterviewSolution
Saved Bookmarks
1. |
The AM of 10 numbers is 20, AM of 30 numbers is 60. AM of combined data is …………A) 40 B) 12 C) 13 D) 50 |
Answer» Correct option is: D) 50 AM (Algebraic mean) of 10 numbers is 20. \(\therefore\) Sum of 10 numbers = \(n_1\overline x_1 = 10 \times 20 = 200\) AM (Algebraic mean) of 30 numbers is 60. \(\therefore\) Sum of 30 numbers = \(n_2\overline x_2 = 30 \times 60 = 1800\) \(\therefore\) AM of combined data is \(\overline x\) = \(\frac {n_1\overline x_1+ n_2\overline x_2}{n_1+n_2}\) =\( \frac {200 + 1800}{10 + 30} = \frac {2000}{40} = 50\) Hence, algebraic mean (AM) of combined data is 50. Correct option is: D) 50 |
|