Question

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

Answer 1

Here are the results and a ready-to-run plot you can use.

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

Five-number summary
- Min = 4
- Q1 = 15
- Median = 18
- Q3 = 25
- Max = 32

IQR = Q3 − Q1 = 25 − 15 = 10
1.5·IQR = 15 → lower fence = 0, upper fence = 40 → no outliers (all data within fences)

Whiskers: lower whisker = 4, upper whisker = 32.

If you want to produce a box-and-whisker (boxplot) with Python/matplotlib, run this code:

Python (matplotlib)
- This draws a horizontal box-and-whisker plot and annotates the quartiles.

```python
import matplotlib.pyplot as plt

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

fig, ax = plt.subplots(figsize=(8, 2))
ax.boxplot(data, vert=False, showmeans=True, patch_artist=True,
boxprops=dict(facecolor='lightblue', color='black'),
medianprops=dict(color='red'),
meanprops=dict(marker='D', markerfacecolor='green', markeredgecolor='black'))
ax.set_xlabel('Value')
ax.set_yticks([]) # hide y-axis ticks for clarity
ax.set_title('Box-and-Whisker Plot')

# Annotate five-number summary
data_sorted = sorted(data)
min_, q1, med, q3, max_ = data_sorted[0], 15, 18, 25, data_sorted[-1]
ax.annotate(f'Min = {min_}', xy=(min_, 1.02), xytext=(min_, 1.15), ha='center')
ax.annotate(f'Q1 = {q1}', xy=(q1, 1.02), xytext=(q1, 1.15), ha='center')
ax.annotate(f'Median = {med}', xy=(med, 1.02), xytext=(med, 1.15), ha='center')
ax.annotate(f'Q3 = {q3}', xy=(q3, 1.02), xytext=(q3, 1.15), ha='center')
ax.annotate(f'Max = {max_}', xy=(max_, 1.02), xytext=(max_, 1.15), ha='center')

plt.tight_layout()
plt.show()
```

If you prefer an ASCII-style quick visual, here’s a simple horizontal representation (approximate):

0 5 10 15 20 25 30 35
|----|----|----|----|----|----|----|
[=====|====|======] (box from Q1=15 to Q3=25, median at 18)
whiskers: min=4 ---------------------------------------------- max=32

Tell me if you want:
- The actual PNG/SVG image (I can generate and provide it),
- A vertical plot or R code instead,
- A version with individual data points overlaid (strip/violin + box).