Question:
The mean of 50 observations is 36. If two observations 30 and 42 are deleted, then the mean of the remaining observations is
The mean of 50 observations is 36. If two observations 30 and 42 are deleted, then the mean of the remaining observations is
Updated On: Dec 17, 2024
- 48
- 36
- 38
- none of these
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The Correct Option is B
Solution and Explanation
The sum of all the 50 observations = 36 $\times$ 50 = 1800.
Hence, the sum of remaining 48 observations = 1800- 42- 30 = 1728 = 48 $\times$ 36.
So, the mean of remaining 48 observations is 36.
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Concepts Used:
Mean Deviation
A statistical measure that is used to calculate the average deviation from the mean value of the given data set is called the mean deviation.
The Formula for Mean Deviation:
The mean deviation for the given data set is calculated as:
Mean Deviation = [Σ |X – µ|]/N
Where,
- Σ represents the addition of values
- X represents each value in the data set
- µ represents the mean of the data set
- N represents the number of data values
Grouping of data is very much possible in two ways:
- Discrete Frequency Distribution
- Continuous Frequency Distribution