# COMBINED MEAN WORD PROBLEMS WORKSHEET

Problem 1 :

Find Combined Mean from the following data

n1= 40, x= 10

n= 60, x= 15

Solution

Problem 2 :

60 students of section A of Class XI, obtained 40 mean marks in statistics, 40 students of section B obtained 35 mean marks in statistics. Find out mean marks in Statistics for class XI as a whole.

Solution

Problem 3 :

The mean monthly salary paid to all employees in a certain company was \$600. The mean monthly salaries paid to male and female employees were \$620 and \$520 respectively. Find the percentage of male to female employees in the company.

Solution

Problem 4 :

The mean salary for a group of 40 female workers is \$5200 per month and that for a group of 60 male workers is \$6800 per month. What is the combined mean salary ?

Solution

Problem 5 :

The average salary of a group of unskilled workers is \$10000 and that of a group of skilled workers  is \$15000. If the combined salary is \$12000, then what is the percentages of skilled workers ?

Solution

Problem 6 :

If there are two groups containing 30 and 20 observations and having 50 and 60 arithmetic means, then the combined arithmetic mean is.

a)  55     b)  56     c)  54    d) 52

Solution

1)  The combined mean is 13.

2)  the mean mark is 38.

3)

Percentage of male employees = (4/5) x 100%

= 80%

Percentage of female employees = (1/5) x 100%

= 20%

4)   combined mean salary is 6160.

6)  combined arithmetic mean is 54.

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