Asked by jojo
Rishi's MAD
Here is Rishi's data.
You said the MAD of Rishi's data is greater than 2
2.
Calculate the MAD.
Use paper if it helps you organize your thinking.
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have Rishi’s numbers here — could you paste the dataset? Once you do I’ll compute the MAD step by step.
For clarity, here’s what I’ll do and how MAD is defined (so you can check on paper if you like):
Definition
- MAD = median of the absolute deviations from the data median:
MAD = median(|xi − median(x)|).
Steps I’ll follow
1. Find the median of the data.
2. Compute each absolute deviation |xi − median|.
3. Find the median of those absolute deviations — that value is the MAD.
(If there are an even number of values at either median step, use the average of the two middle values.)
Note: some sources report a scaled MAD (multiply the MAD by 1.4826) to make it a consistent estimator of standard deviation for normal data — tell me if you want the scaled version.
Example
- Data: 1, 2, 3, 10, 12
1) median(x) = 3
2) absolute deviations: 2, 1, 0, 7, 9
3) median of those = 2 → MAD = 2
Paste Rishi’s data and I’ll compute the exact MAD (and confirm whether it’s > 2).
For clarity, here’s what I’ll do and how MAD is defined (so you can check on paper if you like):
Definition
- MAD = median of the absolute deviations from the data median:
MAD = median(|xi − median(x)|).
Steps I’ll follow
1. Find the median of the data.
2. Compute each absolute deviation |xi − median|.
3. Find the median of those absolute deviations — that value is the MAD.
(If there are an even number of values at either median step, use the average of the two middle values.)
Note: some sources report a scaled MAD (multiply the MAD by 1.4826) to make it a consistent estimator of standard deviation for normal data — tell me if you want the scaled version.
Example
- Data: 1, 2, 3, 10, 12
1) median(x) = 3
2) absolute deviations: 2, 1, 0, 7, 9
3) median of those = 2 → MAD = 2
Paste Rishi’s data and I’ll compute the exact MAD (and confirm whether it’s > 2).
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