Question

use this and make a line and whisker plot 4, 13, 14, 14, 15, 16, 16, 4, 18, 18, 18, 19, 20, 23, 25, 25, 26, 27, 30,32,

Answer 1

I can't draw directly here, but here are the numbers, the five-number summary and a ready-to-run Python script you can use to produce a box-and-whisker (boxplot) showing the whiskers and any outliers.

Data (unsorted): 4, 13, 14, 14, 15, 16, 16, 4, 18, 18, 18, 19, 20, 23, 25, 25, 26, 27, 30, 32

Sorted: 4, 4, 13, 14, 14, 15, 16, 16, 18, 18, 18, 19, 20, 23, 25, 25, 26, 27, 30, 32

Five-number summary
- Minimum = 4
- Q1 = 14.5
- Median = 18
- Q3 = 25
- Maximum = 32

IQR = Q3 − Q1 = 25 − 14.5 = 10.5
1.5 × IQR = 15.75 → lower fence = −1.25, upper fence = 40.75, so there are no outliers (all points lie within the fences). The whiskers therefore run from min = 4 to max = 32.

Python (matplotlib) code to draw the box-and-whisker plot:

```python
import matplotlib.pyplot as plt

data = [4,13,14,14,15,16,16,4,18,18,18,19,20,23,25,25,26,27,30,32]

plt.figure(figsize=(8, 2.5))
plt.boxplot(data, vert=False, patch_artist=True,
boxprops=dict(facecolor='lightblue', color='black'),
whiskerprops=dict(color='black'),
capprops=dict(color='black'),
medianprops=dict(color='red'))
plt.yticks([1], ['Data'])
plt.xlabel('Value')
plt.title('Box-and-Whisker Plot')
plt.grid(axis='x', linestyle='--', alpha=0.5)
plt.show()
```

If you want the raw data points shown on the same plot (helpful to see clustering), add these lines before plt.show():

```python
plt.scatter(data, [1]*len(data), color='black', alpha=0.6, s=20, zorder=3)
```

Run the code in a Python environment (e.g., Jupyter, Colab, or any script) to see the plot. If you want, I can produce an ASCII-style boxplot here or give a Seaborn version.