Question:
The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is
The mean of six numbers is 30. If one number is excluded, the mean of the remaining numbers is 29. The excluded number is
Updated On: Aug 5, 2024
- 29
- 30
- 35
- 45
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The Correct Option is C
Solution and Explanation
Sum of 6 numbers = 30 $\times$ 6 = 180
Sum of remaining 5 numbers = 29 $\times$ 5 = 145
$\therefore$ Excluded number = 180 - 145 = 35.
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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