7 Views

Question : The average mark scored by 8 boys is 72. If the scores of three girls are also included, the average marks increase by 3. The average marks scored by the three girls are:

Option 1: 95

Option 2: 83

Option 3: 78

Option 4: 68


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 83


Solution : The average mark scored by 8 boys is = 72
If the scores of three girls are also included,
The average marks increase by = 3
Average = $\frac{\text{Sum of all the observations}}{\text{Total no. of observations}}$
Let the average marks of the three girls be $x$.
Then, the total average is,
75 = $\frac{(72\times 8)+3\text{$x$}}{11}$
Solving for $x$,
$x$ = $\frac{(75\times 11)-(72\times8)}{3}$ = 83
$\therefore$ The average mark of the three girls is 83.
Hence, the correct answer is 83.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books