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If there are two groups containing 30 and 20 observation and having 50 and 60 as arithmetic means then the combined arithmetic mean is A.55 B.56 C.54 D.52?
Most Upvoted Answer
If there are two groups containing 30 and 20 observation and having 50...
Solution:

Given,
- Two groups containing 30 and 20 observation
- Arithmetic mean of the first group = 50
- Arithmetic mean of the second group = 60

We need to find the combined arithmetic mean.

Step 1: Finding the sum of observations in each group

- Sum of observations in the first group = 30 * 50 = 1500
- Sum of observations in the second group = 20 * 60 = 1200

Step 2: Finding the total sum of observations

- Total sum of observations = 1500 + 1200 = 2700

Step 3: Finding the combined arithmetic mean

- Combined arithmetic mean = Total sum of observations / Total number of observations
- Total number of observations = 30 + 20 = 50
- Combined arithmetic mean = 2700 / 50 = 54

Hence, the combined arithmetic mean is 54, which is option C.
Community Answer
If there are two groups containing 30 and 20 observation and having 50...
A. 55
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If there are two groups containing 30 and 20 observation and having 50 and 60 as arithmetic means then the combined arithmetic mean is A.55 B.56 C.54 D.52?
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