If the mean of x+2, 2x+3, 3x+4, 4x+5 is x+2, find x.
Answers
Given : Mean of x + 2, 2x + 3, 3x + 4, 4x + 5 is x + 2
Total number of all observations = 4
Mean = sum of all the observations/total number of observations
x + 2 = (x + 2 + 2x + 3 + 3x + 4 + 4x + 5)/4
x + 2 = (10 x + 14)/4
4(x + 2) = (10 x + 14)
4x + 8 = 10x + 14
4x - 10x = 14 - 8
-6x = 6
x = -6/6
x = - 1
Hence, the value of x is - 1.
Extra information :
Mean:
The mean of a number of observations is the sum of the values of all the observations divided by the total number of observations.
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Answer:
Step-by-step explanation:
x + 2 = (x + 2 + 2x + 3 + 3x + 4 + 4x + 5)/4
x + 2 = (10 x + 14)/4
4(x + 2) = (10 x + 14)
4x + 8 = 10x + 14
4x - 10x = 14 - 8
-6x = 6
x = -6/6
x = - 1