Question

1. The Mean of 12 numbers is 20.
If each number is multiplied by
6, then the new mean is____
2. The Mean of 30 numbers is 16.
If each number is divided by 4,
then the new mean is____​

Answer 1

1. The Mean of 12 numbers is 20.

If each number is multiplied by

6, then the new mean is 6×20=120

2. The Mean of 30 numbers is 16.

If each number is divided by 4,

then the new mean is 16÷4= 4

explanation :

if we multiply our data set by a constant value or divide our data set by a constant value, then the mean, median, mode, range, and IQR will all be scaled by the same amount.

Answer 2

1. Total of 12 numbers = 12 × 20 = 240

Given that : Each number is multiplied by 6 then new Mean = (240 × 6)/12 = 120 ✔✔

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2. Total of 30 numbers = 30 × 16 = 480

Given that : Each number is divided by 4 then new Mean = (480/4)/30 = 4 ✔✔

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