Math Problem Statement

The box-and-whisker plot below represents some data set. What is the value of the lower quartile?

Solution

From the box-and-whisker plot, we can identify the lower quartile, also known as Q1, which is represented by the left edge of the box.

Observations from the plot:

  • The left edge of the box is aligned with 40 on the number line.

Conclusion:

The value of the lower quartile (Q1) is 40.

Would you like a detailed explanation of how quartiles are derived from such plots?

Related Questions:

  1. How are the median and upper quartile identified in a box-and-whisker plot?
  2. What does the range of the whiskers tell us about the data set?
  3. How do you calculate the interquartile range (IQR) from a box plot?
  4. Can the lower quartile be used to identify outliers in the data?
  5. What is the significance of each part of a box-and-whisker plot?

Tip:

Always ensure to differentiate between the whiskers and the edges of the box; they represent different aspects of the data distribution!

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Box-and-Whisker Plots
Quartiles

Formulas

Lower quartile (Q1) is the 25th percentile in a data set.

Theorems

The concept of percentiles in data distribution.

Suitable Grade Level

Grades 6-8