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slamgirl [31]
3 years ago
6

The following are the ages (years) of 5 people in a room:

Mathematics
2 answers:
juin [17]3 years ago
7 0

Answer:

10

Step-by-step explanation:

14+14+18+18+22=86

6*16=96

96-86=10

AURORKA [14]3 years ago
4 0

Step-by-step explanation:

✧ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }:

Let the age of a person who entered the room be ' x '.

✧ \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N \:  \: D \: A\: T \: A } }}} :

  • 14 , 14 , 18 , 18 , 22 , x

n ( number of observation ) = 6

\sum x = 14 + 14 + 18 + 18 + 22 + x = 86 + x

Mean = 16

☯ \boxed{ \large \tt{Mean \:  =  \frac{ \sum \: x}{n} }}

~Plug the values :

⇢ \large{ \tt{16 =  \frac{86 + x}{6}}}

~Apply cross product property :

⇢ \large{ \tt{86 + x = 16 \times 6}}

⇢ \large{ \tt{86 + x = 96}}

Move 86 to right hand side and change it's sign

⇢ \large{ \tt{x = 96 - 86}}

⇢ \boxed{ \large{ \tt{x = 10}}}

\large{ \boxed{ \boxed{ \underline{ \large{ \tt{Our \: Final \: Answer :  \underline{10}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♪

⋆ Let me know if you have any questions regarding my answer ⋆

\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} !! ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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