Question

What would happen to the mean if all of the scores were converted by subtracting 10 points from each score?
a. The mean would be unchanged
b. The mean would increase by 10 points.
C. The mean would decrease by 10 points​

Answer 1

Explanation:

Hey mate !

Question:-

What would happen to the mean if all of the scores were converted by subtracting 10 points from each score ?

• The mean will be unchanged.

• The mean would increase by 10 points.

• The mean would decrease by 10 points.

Answer:-

To understand better,Let's take an example:-

Part - 1

Let the scores be : 20,30,40,50 and 60.

Mean = ?

As we know that :-

⇒Mean = Sum of all terms/Total number of terms

Then,

⇒Mean = 20+30+40+50+60/5

⇒Mean = 200/5

⇒Mean = 200÷5 = 40

∴ Mean = 40 (ans)

Part - 2

Let the scores with -10 be : 10,20,30,40 and 50

Mean = ?

As we know that:-

⇒Mean = Sum of all terms/Total number of terms

Then,

⇒Mean = 10+20+30+40+50/5

⇒Mean = 150/5

⇒Mean = 150 ÷ 5 = 30

∴ Mean = 30 (ans)

∴Difference between two means = (40-30) = 10.

Hence,this example proves that if 10 is subtracted from the scores,then the mean if the scores will also be subtracted from 10.

Therefore,option C is correct.

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hope it helps you...

#be brainly

Answer 2

Answer:

the mean would decrease by 10 points