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Multiple choice

The average marks of 10 students in a class is 60 with standard deviation 4 while the average marks of other 10 students is 40 with standard deviation 6. If all the 20 students are taken together, their standard deviation will be

  1. $\sqrt {109}$
  2. 12

  3. $\sqrt {116}$
  4. $\sqrt {126}$
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