Math Problem Statement

The box plot represents a data set. What is the range of the middle 50% of the data?

Solution

The problem is asking for the range of the middle 50% of the data in the box plot, which corresponds to the interquartile range (IQR).

Looking at the box plot:

  • The left side of the box (Q1 or the first quartile) is at 9.
  • The right side of the box (Q3 or the third quartile) is at 13.

The interquartile range (IQR) is calculated by subtracting Q1 from Q3: IQR=Q3Q1=139=4IQR = Q3 - Q1 = 13 - 9 = 4

The closest matching answer in the list is 8. However, based on this specific box plot, the interquartile range should be 4, but it seems there is no option for 4.

Would you like more details on interpreting box plots, or have further questions on this?

Here are five related questions:

  1. What does the interquartile range represent in data analysis?
  2. How do you calculate the range of a data set?
  3. What do the whiskers in a box plot represent?
  4. How can outliers be identified using a box plot?
  5. What is the significance of the median in a box plot?

Tip: Always check the scale of the axis in a box plot to ensure you are correctly interpreting the quartiles.

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Math Problem Analysis

Mathematical Concepts

Box Plot
Interquartile Range (IQR)
Data Analysis

Formulas

IQR = Q3 - Q1

Theorems

Quartile Theorem

Suitable Grade Level

Grades 6-8