Numericals based on combined mean and miscellaneous

Numericals based on combined mean and miscellaneous

The following are the monthly salaries in rupees of 20 employees of a firm
130,62,145,118,125,76,151,76,151,142,110,98,65,116,100,103,71,85,80,122,132 and 95
The firm gives bonus of Rs. 10, 15, 20, 25, and 30 for individuals in the respective salary groups exceeding Rs. 60 but not exceeding Rs.80, exceeding Rs. 80 but not exceeding Rs.100 and so on upto exceeding Rs.140 but not exceeding Rs.160.Find the average bonus paid per employee.
(Sol: - 19)
The mean marks of 100 students were found to be 40.Later on it was discovered that a score of 53 was misread as 83.find the correct mean
(Sol: - 39.7)
The mean income per month of 100 shopkeepers was calculated to be Rs. 970.But later on it was found that the income of two families were wrongly noted as Rs.750 and Rs. 880 instead of Rs. 950 and Rs. 550.Find the correct mean.
(Sol: - 968.7)
Calculate the combined mean from the following data:
Group
N
Mean
1
200
25
2
250
10
3
300
15
(Sol: - 16)
A bookseller has 150 books of economics and accountancy. The average price of these books is Rs. 40 per book. Average price of books on economics is Rs. 43 and that of accountancy is Rs.35.Find the number of books on economics with the seller.
(Sol: - 94)
There are 130 teachers and 100 non teaching employees in a college. The respective distributions of their monthly salaries are given in the following table:
Teachers
Non-teaching employees
Monthly salary (in Rs.)
Frequency
Monthly salary
Frequency
4000-5000
10
1000-2000
21
5000-6000
16
2000-3000
45
6000-7000
22
3000-4000
28
7000-8000
67
4000-5000
6
8000-9000
15
4000-5000
6
Total
130
Total
100
Find: (a) average monthly salary of a teacher
(b) Average monthly salary of non teaching employee
(C) Average monthly salary of college employee (teaching and non teaching)
(Sol: - 6969.23, 2690, 5108.70)
The average rainfall for a week, excluding Sunday was 10 cms.Due to heavy rainfall on Sunday, the average for the week rose to 15 cms.how much rainfall was on Sunday?
(Sol:-45 cms)
The mean age of the combined group of men and women is 30.5 years. If the mean age of the sub group of men is 35 years and that of sub groups of women is 25 years, find out percentage of men and women in the group
(Sol: - 55% men, 45% women)

Student of Rai Business School - New Delhi

Sanjeev Kumar Singh