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The mean of 10,12,16,20,p,26 is 17.Find the value of p.
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The mean of 10,12,16,20,p,26 is 17.Find the value of p.
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Feb 21, 2019
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The mean of 10,12,16,20,p,26 is 17.Find the value of p.
Mathematics
high-school
Gavv
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Answer: "
p = 18
" .
__________________________________________________
Step-by-step explanation:
__________________________________________________
The [arithmetic] mean =
{the sum of all the values in the data set}
divided by {the number of values in the number set} ;
__________________________________________________
→ 17 = (
10 + 12 + 16 + 20 + 26 + p) / 6 ;
__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p) = 17 * 6 ;
→ (p + 84) = 102
Subtract "84" from each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" ;
→ p + 84 – 84 = 102 – 84 ;
→
p = 18 .
_________________________________________________
The answer is:
"
p = 18
" .
_________________________________________________
Martin Pecka
answered
Feb 23, 2019
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Martin Pecka
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there are 6 numbers total
17 * 6 = 102
10 + 12 + 16 + 20 + 26 = 84
p = 102-84 = 18
p = 18
Olga Dalton
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Feb 25, 2019
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Olga Dalton
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