Math Problem Statement
Make a box-and-whisker plot for 12, 13, 15, 16, 17, 18, 19, 21, 21, 23, 28, 28, 29, 31, 32, 35.
Solution
matplotlib.pyplot as plt
Data set
data = [12, 13, 15, 16, 17, 18, 19, 21, 21, 23, 28, 28, 29, 31, 32, 35]
Create the box-and-whisker plot
plt.figure(figsize=(8, 6)) plt.boxplot(data, vert=False, patch_artist=True, boxprops=dict(facecolor='lightblue')) plt.title("Box-and-Whisker Plot") plt.xlabel("Values") plt.grid(axis='x', linestyle='--', alpha=0.7) plt.show()Here is the box-and-whisker plot for the given data. It visually represents the distribution, showing the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.
Would you like details about the quartiles or how the plot is constructed? Let me know! Here are five questions to expand your understanding:
- What are the steps to calculate quartiles from a data set?
- How does the presence of outliers affect the box-and-whisker plot?
- What is the significance of the interquartile range (IQR)?
- How would adding a new data point, like 40, impact this plot?
- Can a box-and-whisker plot be used to compare two different data sets?
Tip: A box-and-whisker plot is a great way to compare distributions and quickly identify data symmetry or skewness.
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Math Problem Analysis
Mathematical Concepts
Data Visualization
Descriptive Statistics
Box-and-Whisker Plot
Formulas
Quartiles: Q1, Median (Q2), Q3
Interquartile Range (IQR) = Q3 - Q1
Theorems
No specific theorems are directly applied, but statistical rules for quartile calculations are involved.
Suitable Grade Level
Grades 6-8
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