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 shows the distribution of book prices in a bookstore. To determine the shape of the distribution, we look at the overall pattern of the bars in the histogram.

In this case, the distribution has the following characteristics:

  • It is relatively symmetric, with a peak around the middle range (around $75 to $125).
  • The frequencies gradually decrease on both sides of the peak.
  • There is no pronounced skewness to the left or right.

Based on these observations, the distribution can be described as approximately normal or bell-shaped. This indicates that most book prices are centered around the mean price with fewer books priced much lower or higher.

Would you like more details or have any questions?

Here are some questions you might want to ask:

  1. How do you determine the mean book price from the histogram?
  2. What is the median book price in this distribution?
  3. How can you calculate the standard deviation of book prices from this histogram?
  4. What does it mean if a distribution is skewed to the left or right?
  5. How would you interpret outliers in this histogram?

Tip: When analyzing histograms, look for the overall shape, center, and spread of the data to understand the distribution.

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Math Problem Analysis

Mathematical Concepts

Statistics
Histograms
Normal Distribution

Formulas

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Theorems

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Suitable Grade Level

High School