Question
Download Solution PDFThe mean of 6, 8, x + 2, 10, 2x - 1, 2 is 9. Find x.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Numbers: 6, 8, x + 2, 10, 2x - 1, 2
Mean of the numbers = 9
Formula Used:
Mean = (Sum of all numbers) / (Number of numbers)
Calculation:
Sum of the numbers = 6 + 8 + (x + 2) + 10 + (2x - 1) + 2
Number of numbers = 6
Mean = 9
Substitute the values into the formula:
⇒ 6 + 8 + x + 2 + 10 + 2x - 1 + 2 = 54
⇒ 3x + 27 = 54
⇒ 3x = 54 - 27
⇒ 3x = 27
⇒ x = 27 / 3
⇒ x = 9
The value of x is 9.
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