Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The average height of a class of 22 students is 5.8 m and the inclusion of the teacher's height raises the mean by 20 cm. What is the teacher's height?   <p

The average height of a class of 22 students is 5.8 m and the inclusion of the teacher's height raises the mean by 20 cm. What is the teacher's height?

 

 

Option: 1

12.4 m


Option: 2

10.4 m


Option: 3

16.2 m

 


Option: 4

12.4 m


Answers (1)

best_answer

Option (B) 10.4 m

We have to find the height of the teacher, if the average height of a class of 22 students is 5.8 m and the inclusion of the teacher's height raises the mean by 20 cm.

To find the height of the teacher, we can use the formula for the mean:

\mathrm{\text{Mean}=\frac{\text{Sum of student's heights}}{\text{Number of students}}}

The mean height of a class of 22 students is 5.8 m. Therefore,

\mathrm{\frac{\text{Sum of student's heights}}{22}=5.8}

\mathrm{\Rightarrow \text{Sum of student' s heights}=127.6 m}

According to the question,

New mean = 5.8 + 0.2 = 6 m.   [1 m = 100 cm]

Let the height of the teacher be x m. 

So, 

\mathrm{ \frac{127.6+x}{23}=6}

\mathrm{ \Rightarrow 127.6+x=6\times 23}

\mathrm{ \Rightarrow 127.6+x=138}

\mathrm{ \Rightarrow x=138-\ 127.6}

\mathrm{ \Rightarrow x=\ 10.4 m}

Thus, the height of the teacher is 10.4 m.

Posted by

Nehul

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

NTA Exams 2025 Live: NEET UG date, registration form soon at neet.nta.nic.in; UGC NET revised schedule out
anam-khan

Is it difficult to get into NIT Durgapur? JEE Main cut-offs for BTech programmes
anam-khan

JEE Main Deleted Syllabus 2025: Topics to skip this year; why no optional questions?

Latest Question