Math Problem Statement

What is the median (Q2) for the box and whisker plot is between what two consecutive numbers? and

What is the median (Q2) for the box and whisker plot is between what two consecutive numbers?

Solution

To find the median (Q2) on a box and whisker plot, you need to locate the line inside the box. This line represents the median of the data set.

In the provided image, the line inside the box is positioned between 20 and 22 on the number line. Thus, the median (Q2) is between 20 and 22.

Would you like any further details or have any questions?

Here are five related questions to consider:

  1. What is the interquartile range (IQR) in this box plot?
  2. How do you determine the quartiles Q1 and Q3 from the box plot?
  3. What are the possible minimum and maximum values indicated by the whiskers in this plot?
  4. How can you interpret the skewness of the data from this box plot?
  5. What might be the significance of outliers in this box plot, if any?

Tip: Remember that in a box and whisker plot, the length of the box indicates the interquartile range (IQR), which measures the spread of the middle 50% of the data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Box and Whisker Plot
Median
Quartiles

Formulas

Median formula for a data set
Interquartile Range (IQR) calculation

Theorems

Definition of Median and Quartiles
Properties of Box and Whisker Plots

Suitable Grade Level

Grades 6-8