Question

the mean of 40 values is 110. if each is multiplied by 3,find the new mean​

Answer 1

Answer:

330

Step-by-step explanation:

Mean = sum/number   *of observations

   Initially,

⇒ 110 = sum/40

⇒ 4400 = sum of observations

Now, each term is multiplied by 3. If a number was 'x', it is now 3x.

Since, 3 is multiplied to all the terms, we can write it as 3 into the total sum. Like:  we add two numbers, a + b.   Now, we add 3 times of a and b,  3a + 3b, this can also be written as 3(a + b). Similarly,

New mean = 3(sum of observations/40

                    = 3(4400)/40

                    = 330

Answer 2

Given,

• The mean of 40 values is 110.

To Find,

• If each is multiplied by 3,find the new mean

Solution,

Mean = Sum of Total Observation / No. of total Observation

→ 110 = Sum of Total Observation / 40

→ 110 = Sum of Total Observation / 40

→ 110 × 40 = Sum of Total Observation

→ 4400 = Sum Of Total Observation •••(1)

If Every Number is multiplied by 3

Sum Will Also multiplied by 3

→ 3 × 4400

Required Answer,

The New Mean = Sum of Total Observation / No. of total Observation

→ The New Mean = 3 × 4400 / 40

→ The New Mean = 3 × 110

→ The New Mean = 330