book Maths Puzzle Numerical Ability

Question
In large data sets(1,000 or more values),the mean is always one of the data values. Why would this be true or false?

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book Other Question

A farmer wants to mix milk containing 3% butter fat with cream containing 30% butter fat to obtain 900 gallons of milk which is 8% butter fat. How much of each must be use? A movie theater sells adult tickets at $5.50 a ticket and $3.50 for a childs ticket. How many of each ticket was sold if 21 tickets were bought for $83.50