Question:
For the data:
Xi 1 3 5 7 9 fi 4 24 28 πͺ 8
If the mean of data is 5 and mean deviation about mean is M and variance is π2 , then 3πͺ/M+π2 is?
For the data:
If the mean of data is 5 and mean deviation about mean is M and variance is π2 , then 3πͺ/M+π2 is?
| Xi | 1 | 3 | 5 | 7 | 9 |
| fi | 4 | 24 | 28 | πͺ | 8 |
Updated On: Jan 26, 2025
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Solution and Explanation
The correct answer is 8.
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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 = [Ξ£ |X β Β΅|]/N
Where,
- Ξ£ represents the addition of values
- X represents each value in the data set
- Β΅ 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