I need to find the sqrt of a number that has a greater mean absolute devieation that 2.53.

To find the square root of a number that has a greater mean absolute deviation (MAD) than 2.53, we first need to determine the number.

The mean absolute deviation is a measure of the average distance of each data point from the mean of a set of numbers. If the MAD is greater than 2.53, it means that the data points are, on average, further away from the mean.

To find the number, you need a set of data points for which the MAD is greater than 2.53. Once you have the data set, follow these steps:

1. Calculate the mean (average) of the data set.
2. For each data point, subtract the mean and take the absolute value of the result.
3. Sum up all these absolute values.
4. Divide the sum by the number of data points to get the mean absolute deviation.
5. If the result is greater than 2.53, you have found the desired number.

For example, let's say you have a set of data points: 10, 15, 20, 25, 30. To find the number whose square root you need, follow these steps:

1. Calculate the mean: (10 + 15 + 20 + 25 + 30) / 5 = 20.
2. Calculate the absolute deviation for each data point:
- Absolute deviation for 10: |10 - 20| = 10.
- Absolute deviation for 15: |15 - 20| = 5.
- Absolute deviation for 20: |20 - 20| = 0.
- Absolute deviation for 25: |25 - 20| = 5.
- Absolute deviation for 30: |30 - 20| = 10.
3. Sum up the absolute deviations: 10 + 5 + 0 + 5 + 10 = 30.
4. Divide the sum by the number of data points: 30 / 5 = 6.
5. Since the mean absolute deviation of 6 is greater than 2.53, you have found the number you are looking for.

In this example, the number you need to find the square root of is 20.