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# Exercise 4 Groupby Apply
The goal of this exercise is to learn to group the data and apply a function on the groups.
The use case we will work on is computing
1. Create a function that uses `pandas.DataFrame.clip` and that replace extreme values by a given percentile. The values that are greater than the upper percentile 80% are replaced by the percentile 80%. The values that are smaller than the lower percentile 20% are replaced by the percentile 20%. This process that correct outliers is called **winsorizing**.
I recommend to use NumPy to compute the percentiles to make sure we used the same default parameters.
```python
def winsorize(df, quantiles):
"""
df: pd.DataFrame
quantiles: list
ex: [0.05, 0.95]
"""
#TODO
return
```
Here is what the function should output:
```python
df = pd.DataFrame(range(1,11), columns=['sequence'])
print(winsorize(df, [0.20, 0.80]).to_markdown())
```
| | sequence |
|---:|-----------:|
| 0 | 2.8 |
| 1 | 2.8 |
| 2 | 3 |
| 3 | 4 |
| 4 | 5 |
| 5 | 6 |
| 6 | 7 |
| 7 | 8 |
| 8 | 8.2 |
| 9 | 8.2 |
2. Now we consider that each value belongs to a group. The goal is to apply the **winsorizing to each group**. In this question we use winsorizing values that are common: `[0.05,0.95]` as percentiles. Here is the new data set:
```python
groups = np.concatenate([np.ones(10), np.ones(10)+1, np.ones(10)+2, np.ones(10)+3, np.ones(10)+4])
df = pd.DataFrame(data= zip(groups,
range(1,51)),
columns=["group", "sequence"])
```
The expected output (first rows) is:
| | sequence |
|---:|-----------:|
| 0 | 1.45 |
| 1 | 2 |
| 2 | 3 |
| 3 | 4 |
| 4 | 5 |
| 5 | 6 |
| 6 | 7 |
| 7 | 8 |
| 8 | 9 |
| 9 | 9.55 |
| 10 | 11.45 |