# TSI Math: Manipulating a Data Set to Find a Different Mean

The mean of a, b, c, and 10 is 16. What is the mean of a, b, and c?

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### Transcript

00:21

us because we mean business using the algebraic definition of

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mean which is the same thing as average Take the

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given information the problem to set up an equation Well

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the average of four numbers is there some divided by

00:34

four So what do we know We know this a

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plus B plus c plus ten divided by four is

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sixteen well it's just multiply both sides by four teo

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cancel out the fraction thing they're so we've got a

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plus B plus c plus ten is sixty four or

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interested in a plus b plus c so think of

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this sum is a single variable that we want to

00:53

isolate shipwrecked in from both sides and that gets us

00:56

a b and c equal to fifty for wealthy average

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of a b and c is a plus b plus

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c over three And we know that a b and

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c total two Fifty for so just divide by three

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Well in california fifty for over three is eighteen Same

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deal in texas so the meaning of a b and

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c is eighteen and that's our answer It see and 00:01:17.204 --> [endTime] we're smoked