Have you got health insurance?

An insurance company has reviewed the number of times their clients have claimed for their hospital coverage in the past year, and all the data are presented in the pie chart above.

Averagely how many times have the clients claimed for their health insurance?


The answer is 1.

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1 solution

Let x x be the total number of clients of this company.

Hence, the total numbers of times they have used the insurance

= 0 × ( 40 100 ) x 0\times(\frac{40}{100})x + 1 × ( 30 100 ) x 1\times(\frac{30}{100})x + 2 × ( 20 100 ) x 2\times(\frac{20}{100})x + 3 × ( 10 100 ) x 3\times(\frac{10}{100})x

= x x

Therefore, the average times of insurance claims = x x \dfrac{x}{x} = 1 .

In other words, in the past year, the clients have averagely used their insurance only once.

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