Math Problem Statement

What percent of the data is between 34 and 40?

Solution

The image shows a box plot, which visually represents the distribution of a dataset. Here's how to interpret the percent of the data between two values using the box plot:

  1. Box Plot Basics: The box plot has a "box" that represents the interquartile range (IQR), which contains the middle 50% of the data. The line inside the box represents the median (50th percentile). The "whiskers" extend to the minimum and maximum values that are not considered outliers.

  2. Interpreting the Range 34 to 40:

    • The lower quartile (Q1) is approximately at 34.
    • The median (Q2) is around 40.
    • The data between Q1 and Q2 represents 25% of the total data (the first quartile to the median).

Therefore, 25% of the data lies between 34 and 40.

Would you like more details on box plots or any other concepts related to statistics?

Related Questions

  1. What does the upper quartile (Q3) represent in a box plot?
  2. How can you identify outliers using a box plot?
  3. What is the interquartile range, and why is it important?
  4. How do you calculate the median from a dataset?
  5. What are the limitations of using a box plot to represent data?

Tip: Box plots are helpful for quickly understanding the spread and skewness of data without relying on the original data points.