Question

Please help ..


The arithmetic mean of 67 values is 35; if each of these values is multiplied by 4, find the mean of the new values...

Answer 1

In the above Question , the following information is given -

The arithmetic mean of 67 values is 35 .

Now , each of these values are multiplied by 4 .

To find -

We have to find the mean of the new values .

Solution -

Here ,

The arithmetic mean of 67 values is 35 .

So.

[ Sum Of 67 Values ] / [ 67 ] = 35

=> Sum of the 67 values -

=> 67 × 35

=> 2345 .

Now ,

Each of the given Values are multiplied by 4 .

So ,

New Sum -

=> 67 × [ Sum of the 67 Values ]

=> 67 × 2345

=> 157115

So ,

The sum of the new 67 values is 157115 .

Now ,

New Mean -

=> [ New Sum ] / [ 67 ]

=> [ 157115 ] / [ 67 ]

=> 2345 .

So, the mean of the new values is 2345 .

This is the required answer.

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Answer 2

◘ Given ◘

The arithmetic mean of 67 values is 35.

◘ To Find ◘

The arithmetic mean of the 67 values if each of the values is multiplied by 4.

◘ Solution ◘

Let the sum of the 67 values be x.

A/q,

x/67 = 35

⇒ x = 35 × 67

⇒ x = 2345

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→ When each term was increased by 4 times,

Mean = New sum/67

⇒Mean = 4x/67

• New sum = (4 × sum of the 67 terms)

⇒Mean = (4 × 2345)/67

⇒Mean = 9380/67

⇒Mean = 140