13 students of class V 'A' and 15 of class V 'B' participated in a writing competition. They scored marks as follows
`{:("Class V 'A'","14, 6, 15, 12, 11, 11, 7, 9, 17, 13, 3, 10, 18"),("Class V 'B'","13, 9, 0, 7, 14, 6, 0, 9, 16, 9, 13, 16, 5, 18, 11"):}`
What inference can you draw from the given data ?

Options

A. Both the sections performed equally well beccause the highest score of both the sections is 18
B. Class V A performed better because the average score of V A is more
C. Both the sections performed equally well because the total marks scored by both the sections are the same
D. Both the sections performed equally well because the average marks of both the sections are the same

Answer

To solve the problem, we need to analyze the scores of the students from both classes V 'A' and V 'B' and draw conclusions based on their performance.

### Step 1: List the scores for both classes
- Class V 'A' scores: 14, 6, 15, 12, 11, 11, 7, 9, 17, 13, 3, 10, 18
- Class V 'B' scores: 13, 9, 0, 7, 14, 6, 0, 9, 16, 9, 13, 16, 5, 18, 11

### Step 2: Calculate the total score for each class
- Total score for Class V 'A':
\[ 14 + 6 + 15 + 12 + 11 + 11 + 7 + 9 + 17 + 13 + 3 + 10 + 18 = 146 \]

- Total score for Class V 'B':
\[ 13 + 9 + 0 + 7 + 14 + 6 + 0 + 9 + 16 + 9 + 13 + 16 + 5 + 18 + 11 = 146 \]

### Step 3: Calculate the average score for each class
- Average score for Class V 'A':
\[ \text{Average} = \frac{\text{Total score}}{\text{Number of students}} = \frac{146}{13} \approx 11.23 \]

- Average score for Class V 'B':
\[ \text{Average} = \frac{\text{Total score}}{\text{Number of students}} = \frac{146}{15} \approx 9.73 \]

### Step 4: Compare the average scores
- The average score of Class V 'A' (approximately 11.23) is higher than that of Class V 'B' (approximately 9.73).

### Step 5: Draw conclusions
From the calculations, we can conclude that:
- Although both classes scored the same total marks (146), Class V 'A' had a higher average score than Class V 'B'.
- Therefore, we can infer that Class V 'A' performed better overall in the writing competition.

### Final Inference
The performance of Class V 'A' is better than that of Class V 'B' based on the average scores.

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