Set A: {7, 4, 1, 0, 5, 8, 10, 10, 13, 21} In Set A above, if

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Set A: {−7, −4, −1, 0, 5, 8, 10, 10, 13, 21}

In Set A above, if positive integer x is subtracted from the 3 largest numbers in the list and x is added to the 3 smallest even numbers in the list, which of the following will be true ?

  1. The average of the set will increase by x.
  2. The average of the set will decrease by x.
  3. The average of the set will stay the same.
  4. There will be no mode in the new set.
  5. The standard deviation of the set will stay the same.
  6. The median of the set will stay the same.
  7. The median of the set will increase by x.
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