Question

the mean of 15 observations is 32 find the resulting mean if each observation is increased by 3 and decreased by 7 and multiplied by 2 and divided by 0.5 increased by 60% decreased by 20%​

Answer 1

These all are different parts.

1. When each obsv. is increased by 3

Mean = 32

New Mean = 32 + 3 =35

2. When each obsv. is decreased by 7

Mean = 32

New Mean = 32 - 7 = 25

3. When each obsv. is mutliplied by 2

Mean = 32

New Mean = 32 * 2 = 64

4. When each obsv. is divided by 0.5

Mean = 32

New Mean = 32 / 0.5 = 64

5. When each obsv. is increased by 60% or 0.6

Mean = 32

New Mean = 32 + 0.6 = 32.6

6. When each obsv. is decreased by 20% or 0.2

Mean = 32

New Mean = 32 - 0.2 = 31.8

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Note : These type of questions are done like this and for proof kindly ask another question regarding this , and I will answer.

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I hope you understand.