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?
| Xi | 1 | 3 | 5 | 7 | 9 |
| fi | 4 | 24 | 28 | πͺ | 8 |
Solution and Explanation
The correct answer is 8.
Top Questions on Statistics
Let the Mean and Variance of five observations $ x_i $, $ i = 1, 2, 3, 4, 5 $ be 5 and 10 respectively. If three observations are $ x_1 = 1, x_2 = 3, x_3 = a $ and $ x_4 = 7, x_5 = b $ with $ a>b $, then the Variance of the observations $ n + x_n $ for $ n = 1, 2, 3, 4, 5 $ is
- JEE Main - 2025
- Mathematics
- Statistics
Find the mean of the following distribution:
\[\begin{array}{|c|c|c|c|c|c|c|c|} \hline \textbf{Class-interval} & 11-13 & 13-15 & 15-17 & 17-19 & 19-21 & 21-23 & 23-25 \\ \hline \text{Frequency} & \text{7} & \text{6} & \text{9} & \text{13} & \text{20} & \text{5} & \text{4} \\ \hline \end{array}\]
- If the mean of four consecutive odd numbers is 6 then the largest number is
- The length of the class intervals of the classes, 2 - 5, 5 - 8, 8 - 11, ... is
- The mode of 8, 7, 9, 3, 9, 5, 4, 5, 7, 5 is
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