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The marks of six boys in a group are 48,...

The marks of six boys in a group are 48, 59, 87, 37, 78 and 57. What are the average marks of all six boys?

A

62

B

64

C

61

D

63

Text Solution

AI Generated Solution

The correct Answer is:
To find the average marks of the six boys, we will follow these steps: ### Step 1: Write down the marks The marks of the six boys are: - Boy 1: 48 - Boy 2: 59 - Boy 3: 87 - Boy 4: 37 - Boy 5: 78 - Boy 6: 57 ### Step 2: Calculate the sum of the marks Now, we will add all the marks together: \[ 48 + 59 + 87 + 37 + 78 + 57 \] Calculating step-by-step: - First, add 48 and 59: \[ 48 + 59 = 107 \] - Next, add the result to 87: \[ 107 + 87 = 194 \] - Then, add 37: \[ 194 + 37 = 231 \] - Now, add 78: \[ 231 + 78 = 309 \] - Finally, add 57: \[ 309 + 57 = 366 \] So, the total sum of the marks is \( 366 \). ### Step 3: Divide the sum by the number of boys To find the average, we divide the total sum by the number of boys (which is 6): \[ \text{Average} = \frac{\text{Total Sum}}{\text{Number of Boys}} = \frac{366}{6} \] Calculating: \[ \frac{366}{6} = 61 \] ### Step 4: State the average marks Thus, the average marks of all six boys is \( 61 \). ### Final Answer: The average marks of all six boys is **61**. ---
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