Line graph shows number of departments and average number of employees in all the departments in five different companies (P, Q, R, S and T). Read the following line graph carefully and answer the questions given below.

If average number of employees in 18 departments of company S is 45, then find the average number of employees in remaining departments of company S.

The correct answer is 70.

Step 1: Extract data for Company S from the line graph.

From the provided line graph, we can observe the data points for Company S:

• Number of departments in Company S (blue line): 30

• Average number of employees in all departments in Company S (orange line): 55

Step 2: Calculate the total number of employees in Company S.

The total number of employees in Company S is given by multiplying the total number of departments by the average number of employees per department:

$\text{Total employees in Company S}=30\times 55=1650$

Step 3: Calculate the total number of employees in 18 departments.

It is given that the average number of employees in 18 departments of Company S is 45.

$\text{Total employees in 18 departments}=18\times 45=810$

Step 4: Find the remaining number of departments and their total employees.

• Remaining departments:

$\text{Remaining departments}=30-18=12$

• Total employees in the remaining 12 departments:

$\text{Total employees in remaining 12 departments}=1650-810=840$

Step 5: Calculate the average number of employees in the remaining departments.

The average number of employees in the remaining 12 departments is:

$\text{Average}=\frac{840}{12}=70$

Thus, the average number of employees in the remaining departments of company S is 70.