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If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively,  then the arithmetic mean is _____.
  • a)
    6.25
  • b)
    6.75
  • c)
    6.27
  • d)
    6.42
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively, th...
Arithmetic mean =
= 6.27
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Community Answer
If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively, th...
To find the arithmetic mean, we need to add up all the values and divide by the total number of values. In this case, we have four values: 7, 2, 9, and 5.

Step 1: Multiply each value by its respective frequency
- 7 occurs 2 times, so we have 7 * 2 = 14
- 2 occurs 3 times, so we have 2 * 3 = 6
- 9 occurs 6 times, so we have 9 * 6 = 54
- 5 occurs 4 times, so we have 5 * 4 = 20

Step 2: Add up all the values obtained in step 1
14 + 6 + 54 + 20 = 94

Step 3: Find the total number of values
The total number of values is the sum of the frequencies: 2 + 3 + 6 + 4 = 15

Step 4: Divide the sum obtained in step 2 by the total number of values obtained in step 3
94 / 15 ≈ 6.27

Therefore, the arithmetic mean is approximately 6.27, which corresponds to option C.
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