Records at an insurance company showed that the first 30 customers made an average of 5 claims each through their lifetime. After the records of a further 75 customers had been assessed, the average claim rose to 6 per customer. What is the average number of claims by the last 75 customers only?

Respuesta :

The average of the 75 customers will be 6.4.

What is an average?

The average is defined as the ratio of the sum of the data and the number of the count of the data given.

The first 30 customers made an average of 5 claims each. The total claims will be:

= (5 × 30) = 150

When 75 more people were assessed, the average was 6. Therefore, the total claims will be:

= (75 + 30) × 6

= 105 × 6

= 630

Therefore, the average of the 75 customers will be:

= (630 - 150)/75

= 480/75

= 6.4

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