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The average marks of Ravi in five subjec...

The average marks of Ravi in five subjects are 150. but in mathematics 43 was misread as 23 during the calculation.
The correct average is:

A

154

B

150

C

160

D

148

Text Solution

AI Generated Solution

The correct Answer is:
To find the correct average marks of Ravi after correcting the misread score in mathematics, we can follow these steps: ### Step 1: Calculate the initial total marks The average marks of Ravi in five subjects is given as 150. The formula for average is: \[ \text{Average} = \frac{\text{Total Marks}}{\text{Number of Subjects}} \] From this, we can find the total marks: \[ \text{Total Marks} = \text{Average} \times \text{Number of Subjects} = 150 \times 5 = 750 \] ### Step 2: Identify the misread score In the calculation, Ravi's score in mathematics was misread as 23 instead of the correct score of 43. ### Step 3: Correct the total marks To correct the total marks, we need to replace the misread score with the correct score. The difference between the correct score and the misread score is: \[ \text{Difference} = 43 - 23 = 20 \] Now, we add this difference to the initial total marks: \[ \text{Correct Total Marks} = 750 + 20 = 770 \] ### Step 4: Calculate the correct average Now that we have the correct total marks, we can find the correct average: \[ \text{Correct Average} = \frac{\text{Correct Total Marks}}{\text{Number of Subjects}} = \frac{770}{5} = 154 \] ### Final Answer The correct average marks of Ravi after correcting the misread score is **154**. ---
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