To find the MAD (median absolute deviation):
1. Find the median of the dataset. In this case, the median is 11.
2. Find the absolute difference between each data point and the median. For example, the absolute difference between 4 and 11 is 7.
3. Find the median of those absolute differences. In this case, the median absolute deviation is 4.
To find the IQR (interquartile range):
1. Find the median of the lower half of the dataset. In this case, the lower half is 1, 4, 6, 7, 9, and 10, so the median is 6.5.
2. Find the median of the upper half of the dataset. In this case, the upper half is 12, 12, 14, 15, 17, 18, and 19, so the median is 15.
3. Subtract the lower median from the upper median. In this case, 15 - 6.5 = 8.5. This is the IQR.
What is the MAD and IQR for the given dataset?
1, 4, 6, 7, 9, 10, 10, 11, 12, 12, 14, 15, 17, 18, 19
2 answers
wrong wrong wrong