If the mean of the data x+3, 2x+6 is 15, then the value of x is
Answers
Answer:
The value of x = 7
Step-by-step explanation:
Given,
The mean of x+3, 2x+6 is 15
To find,
The value of 'x'
Recall the formula
Mean =
Solution:
Here, the observations are x+3 and 2x+6
Sum of observations = x+3+2x+6 = 3x+9
Total number of observations = 2
Then, Mean =
Since it given that mean = 15, we have
= 15
3x+9 = 15×2 = 30
3x = 30 -9
3x = 21
x = 7
∴The value of x = 7
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The value of x is 7
Step-by-step explanation:
Given:
mean of the data x+3, 2x+6 is 15
To find:
value of x
Solution:
We revise and use the formula for mean in this sum
As we know mean = sum of observations
no. of observations
here, no of observations in the data = 2, and the mean of the data=15
Adding all the values in the formula
15 = (x+3)+(2x+6)
2
∴ 15 = x+3 +2x+6 .........................(adding the like terms)
2
∴ 15 = 3x+9
2
∴ 30 = 3x+9
∴ 30-9 = 3x
∴ 21 = 3x
∴ 3x = 21
∴ x = 21/3
∴ x = 7
Thus, the value of x is 7
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