Math Problem Statement

The box plot below represents some data set. What percentage of the data values are between 22 and 28? 0 10 20 30 40

Solution

To determine the percentage of data values between 22 and 28 from a box plot, you need to understand the structure of the box plot:

  • Minimum: The smallest data value (leftmost point)
  • Q1 (First Quartile): The median of the lower half of the data (left edge of the box)
  • Median (Q2): The median of the entire data set (line inside the box)
  • Q3 (Third Quartile): The median of the upper half of the data (right edge of the box)
  • Maximum: The largest data value (rightmost point)

The box in the box plot represents the middle 50% of the data, from Q1 to Q3. The values you provided (22 and 28) likely correspond to the edges of the box (Q1 and Q3). If this is correct, then 50% of the data lies between 22 and 28.

Answer: 50%

Do you want more details or have any questions?


Here are 5 questions related to the topic:

  1. What does the median in a box plot represent?
  2. How can outliers be identified in a box plot?
  3. What is the interquartile range (IQR) and how is it calculated?
  4. How would you interpret a box plot with a large interquartile range?
  5. How can a box plot be used to compare two data sets?

Tip: The length of the box in a box plot shows how spread out the middle 50% of the data is—shorter boxes mean less variability, while longer boxes indicate more variability.

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Math Problem Analysis

Mathematical Concepts

Statistics
Box plots
Percentiles

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12