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Find the weighted average of a data set where 10 has a weight of 3, 40...

Find the weighted average of a data set where 10 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2. (Enter an exact number.)

Math   Statistics-And-Probability   
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Answer #1

Let there be a data set of size . Let the corresponding weights of the values be respectively. Then, the weighted average of the data set is given by

For the given problem, the data set is given as and the corresponding weights are . So, the weighted average is given as

Therefore, the weighted mean of the data set is .

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