Math Problem Statement

Minimum: 60

First Quartile (Q1): 70

Median (Q2): 80

Third Quartile (Q3): 90

Maximum: 120 box plot of this data

Solution

Here is the box plot based on your data, displaying the minimum, Q1 (first quartile), median (Q2), Q3 (third quartile), and the maximum.

  • The whiskers extend from the minimum (60) to the first quartile (70) on the left side, and from the third quartile (90) to the maximum (120) on the right.
  • The box represents the interquartile range, with the median shown by the red line inside the box.

Would you like more details or have any questions about this? Here are five related questions to expand the topic:

  1. How is the interquartile range (IQR) calculated from a box plot?
  2. What does the median tell us about the dataset?
  3. How can outliers be identified in a box plot?
  4. What are the common uses of a box plot in data analysis?
  5. How can skewness be interpreted from a box plot?

Tip: The distance between Q1 and Q3 is a good indicator of data spread—it's known as the interquartile range (IQR).

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Math Problem Analysis

Mathematical Concepts

Statistics
Box Plot
Quartiles
Interquartile Range (IQR)

Formulas

Interquartile Range (IQR) = Q3 - Q1
Whiskers: min = 60, Q1 = 70, Q2 = 80, Q3 = 90, max = 120

Theorems

Five-number summary in statistics

Suitable Grade Level

Grades 9-12