Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
74 views
in Statistics by (33.5k points)
closed by

The mean salary of 20 workers is ₹10,250. If the salary of office superintendent is added, the mean will increase by ₹ 750. Find the salary of the office superintendent .

1 Answer

+1 vote
by (33.1k points)
selected by
 
Best answer

Mean = \(\cfrac{The\,sum \,of \,all \,observations}{Total \,number \,of \,observations}\)

∴ The sum of all observations = Mean x Total number of observations 

The mean salary of 20 workers is ₹ 10,250.

 ∴ Sum of the salaries of 20 workers 

= 20 x 10,250 

= ₹ 2,05,000 …(i) 

If the superintendent’s salary is added, then mean increases by 750

new mean = 10, 250 + 750 = 11,000 

Total number of people after adding superintendent 

= 20 + 1 = 21

∴ Sum of the salaries including the superintendent’s salary = 21 x 11,000 = ₹ 2,31,000 …(ii) 

∴ Superintendent salary = sum of the salaries including superintendent’s salary – sum of salaries of 20 workers 

= 2, 31,00 – 2,05,000 …[From (i) and (ii)]

= 26,000

∴ The salary of the office superintendent is ₹ 26,000.

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...