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Natalka [10]
3 years ago
14

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

Mathematics
1 answer:
Nata [24]3 years ago
5 0

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, the mean age of 6 people is 17.

We need to find the age of person who entered the room.

We know that: Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}

Now, we have mean of 6 people that is 17

We know the age of 5 people while age of one person is unknown.

Let age of person which is unknown= x

So, we can write:

Sum of all data values = 17+16+ 15+ 17+ 22+x

where x is the age of person who enters the room.

Finding x

Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15

So, we get the value of x: x=15

Therefore, the age of the person who entered the room is 15.

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