To solve both parts of your question, we can use properties of the mean.
a. If 10 is added to each of the numbers in the set:
When 10 is added to each number in the set, the mean will also increase by 10.
Starting mean: 500
New mean after adding 10:
\[ 500 + 10 = 510 \]
So, the mean of the new set is 510.
b. If each of the numbers in the set is multiplied by -5:
When each number is multiplied by -5, the mean will also be multiplied by -5.
Starting mean: 500
New mean after multiplying by -5:
\[ 500 \times (-5) = -2500 \]
So, the mean of the new set is -2500.
1 answer