Math Problem Statement

A bookstore took an inventory of the prices of its books and created a histogram to show the results. What shape does the distribution have?

Solution

The histogram provided shows the distribution of book prices in a bookstore. Let's analyze the shape of the distribution based on the histogram:

  • Unimodal: The histogram has one peak or mode, around the 100-dollar mark.
  • Symmetry: The distribution is not symmetric; the tail on the right-hand side (toward the higher prices) is longer, meaning it is skewed.
  • Skewness: The distribution has a longer tail on the right, meaning it is right-skewed.

Thus, the correct answer is:

Unimodal and right-skewed

Would you like further clarification on this? Here are 5 questions that can help you explore related topics:

  1. What are the key differences between unimodal and bimodal distributions?
  2. How can we measure skewness mathematically?
  3. Why might a distribution of book prices be right-skewed in this case?
  4. How do histograms help in identifying the spread and shape of data?
  5. Can a right-skewed distribution still have outliers on the left?

Tip: To analyze skewness, always observe where the tail extends longer; right-skewness means the right side (higher values) has more spread than the left side.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Distribution
Histograms
Skewness

Formulas

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Theorems

Unimodal Distribution
Right-Skewness

Suitable Grade Level

Grades 8-12