The mean age of 15 teachers of a school was 32 years. One you teacher aged 28 years join the school. find the new mean age of 16 teachers of the school ?
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Answer :-
Mean = Sum of all observations / Number of observation
According to the question -
- Number of teachers = 15
- Mean = 32
So,
Sum of all teachers = Number of teachers × Mean age
= 32 × 15
= 480
Sum of ages of all teachers = 480 years
Now, a new teacher is added whose age is 28.
So, now the sum of ages of all teachers
= 480 + 28
= 508
Also, now the number of observations = 16
Mean = 508 / 16
= 31.75
New mean = 31.75 years.
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