The number of patients per shift (𝑋) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹ 1000(𝑋 − 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?
Note: The figure shown is representative.
A.
6,100
B.
6,300
C.
6,000
D.
6,500
Solution:
We are given:
Dr. Gita’s earnings per shift is ₹1000 . (X-0.2), where X is the number of patients in that shift.
Step 1: Extract Data from the Bar Chart
Patients per shift | No. of shifts |
---|---|
5 | 20 |
6 | 40 |
7 | 30 |
8 | 10 |
Step 2: Compute Total Earnings
We calculate earnings for each shift group:
Now multiply by the number of shifts:
For :
Total:For :
Total:For :
Total:For :
Total:
Step 3: Compute Total and Average
Total Earnings:
Average per shift (over 100 shifts):