The average age of a class of 29 students is 11 years. If the age of teacher is included, then the average increases by 1 year. Find the age

Question

The average age of a class of 29 students is 11 years. If the age of teacher is included, then the average increases by 1 year. Find the age of the teacher.

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Charlie 1 month 2021-08-19T22:47:34+00:00 1 Answer 0 views 0

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    2021-08-19T22:48:40+00:00

    Answer:

    41 years

    Step-by-step explanation:

    Average=Sum of observations/no. of observations

    11=Sum of age of students(s)/29

    s=11*29

    s=319

    When teacher is included:

    11+1=Sum of ages of teacher and students(S)/(29+1)

    12=S/30

    S=12*30

    S=360

    Sum of ages of students=319

    Sum of ages of teacher and students=360

    Therefore, age of teacher=S-s

    =360-319

    Age of teacher=41

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