The following are the ages (years) of 5 people in a room: 17, 16, 15, 17, 22 A person enters the room. The mean age of

Question

The following are the ages (years) of 5 people in a room:
17, 16, 15, 17, 22
A person enters the room.
The mean age of the 6 people is now 17.
What is the age of the person who entered the room

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Farah 1 month 2021-08-13T19:41:41+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-13T19:43:39+00:00

    Answer:

    The age of the person who entered the room is 15

    Step-by-step explanation:

    We are given:

    Ages of 5 people in a room are:

    17, 16, 15, 17, 22

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

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

    The formula to calculate mean is: Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}

    Now, in question we are given mean of 6 people that is 17

    The age of 5 people are given while age of one person who enters the room is unknown.

    Let age of person whose age is unknown= x

    Now finding x using mean formula

    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, The value of x: x=15

    Hence, the age of the person who entered the room is 15

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