To find the MAD (Mean Absolute Deviation) and IQR (Interquartile Range) for the given dataset:
1. Arrange the dataset in ascending order:
1, 4, 6, 7, 9, 10, 10, 11, 12, 12, 14, 15, 17, 18, 19
2. Calculate the Mean:
Mean = (1 + 4 + 6 + 7 + 9 + 10 + 10 + 11 + 12 + 12 + 14 + 15 + 17 + 18 + 19) / 15
Mean = 148 / 15
Mean = 9.8667 (rounded to 4 decimal places)
3. Calculate the Absolute Deviation of each value from the Mean:
| 1 - 9.8667 | = 8.8667
| 4 - 9.8667 | = 5.8667
| 6 - 9.8667 | = 3.8667
(Repeat this calculation for each value)
4. Calculate the Mean Absolute Deviation (MAD):
MAD = (8.8667 + 5.8667 + 3.8667 + ... ) / 15
MAD = 4.4622 (rounded to 4 decimal places)
5. Calculate the Quartiles:
- Q1 (First Quartile) = (n+1) / 4 = 4th value in the dataset = 7
- Q3 (Third Quartile) = 3(n+1)/4 = 3*16/4 = 12th value in the dataset = 15
6. Calculate the Interquartile Range (IQR):
IQR = Q3 - Q1
IQR = 15 - 7
IQR = 8
Therefore, the MAD for the dataset is 4.4622 and the IQR is 8.
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 plz give righ answer
1 answer