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The arithmetic mean of the five numbers x + 6, 2x — 3, 2x +
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03 Jan 2020, 06:24
03 Jan 2020, 06:24
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The arithmetic mean of the five numbers x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4 is 4. What is the range of the five numbers?
A. 3
B. 4
C. 5
D. 6
E. 7
Kudos for the right answer and explanation
A. 3
B. 4
C. 5
D. 6
E. 7
Kudos for the right answer and explanation
Re: The arithmetic mean of the five numbers x + 6, 2x — 3, 2x +
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03 Jan 2020, 06:47
03 Jan 2020, 06:47
Arithmetic mean = \(\frac{Sum of terms}{number of terms}\)
\( 4 = \frac{x + 6 + 2x — 3 + 2x + 2 + 3x — 5 + 4x — 4}{5}\)
\(20 = 12x - 4\)
\(24 = 12x\)
\(x = 2\)
Now put the value of x to find the value of each term.
We get the values as \({8,1,6,1,4}\)
\(Range = Maximum - Minimum\)
\(= 8 - 1 = 7\)
OA, E
\( 4 = \frac{x + 6 + 2x — 3 + 2x + 2 + 3x — 5 + 4x — 4}{5}\)
\(20 = 12x - 4\)
\(24 = 12x\)
\(x = 2\)
Now put the value of x to find the value of each term.
We get the values as \({8,1,6,1,4}\)
\(Range = Maximum - Minimum\)
\(= 8 - 1 = 7\)
OA, E
Carcass wrote:
The arithmetic mean of the five numbers x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4 is 4. What is the range of the five numbers?
A. 3
B. 4
C. 5
D. 6
E. 7
Kudos for the right answer and explanation
A. 3
B. 4
C. 5
D. 6
E. 7
Kudos for the right answer and explanation
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WE:Engineering (Computer Software)
Re: The arithmetic mean of the five numbers x + 6, 2x 3, 2x +
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05 Aug 2022, 21:33
05 Aug 2022, 21:33
Theory
The arithmetic mean of the five numbers x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4 is 4
Arithmetic Mean = \(\frac{Sum}{5}\) = \(\frac{x + 6 + 2x — 3 + 2x + 2 + 3x — 5 + 4x — 4}{5}\) = \(\frac{12x - 4 }{ 5}\) = 4 (given)
=> 12x - 4 = 5*4 = 20
=> 12x = 20 + 4 = 24
=> x = \(\frac{24}{12}\) = 2
Numbers are x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4
=> 2 + 6 , 2*2 - 3, 2*2 + 2, 3*2 - 5, 4*2 - 4
=> 8, 1, 6, 1, 4
Arranging in ascending order we get 1, 1, 4, 6, 8
=> Range = Highest value - lowest value = 8-1 = 7
So, Answer will be E.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
- ➡ Average or Arithmetic Mean = Sum of all the Values / Total Number of Values
➡ Range = Highest Value - Lowest Value
The arithmetic mean of the five numbers x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4 is 4
Arithmetic Mean = \(\frac{Sum}{5}\) = \(\frac{x + 6 + 2x — 3 + 2x + 2 + 3x — 5 + 4x — 4}{5}\) = \(\frac{12x - 4 }{ 5}\) = 4 (given)
=> 12x - 4 = 5*4 = 20
=> 12x = 20 + 4 = 24
=> x = \(\frac{24}{12}\) = 2
Numbers are x + 6, 2x — 3, 2x + 2, 3x — 5, and 4x — 4
=> 2 + 6 , 2*2 - 3, 2*2 + 2, 3*2 - 5, 4*2 - 4
=> 8, 1, 6, 1, 4
Arranging in ascending order we get 1, 1, 4, 6, 8
=> Range = Highest value - lowest value = 8-1 = 7
So, Answer will be E.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
