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Find the value of x such that the data set has the given mean 100, 123, 105, 115, 110, x; mean 120 x=
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Find the value of x such that the data set has the given mean

100, 123, 105, 115, 110, x; mean 120

x=

User Dmitriy Doronin
by
4.2k points

1 Answer

11 votes
The formula for mean is

all numbers added / how many numbers there are

Counting x, we have 6 terms.

(100 + 123 + 105 + 115 + 110 + x) / 6 = 120

Get rid of the denominator by multiplying 120 times 6.

100 + 123 + 105 + 115 + 110 + x = 720

Now, subtract everything on the left from 720 and isolate x.

100 + 123 + 105 + 115 + 110 = 553

720 - 553 = 167

x = 167

User Ed James
by
4.1k points
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