Math Problem Statement

The box plot below represents some data set. What percentage of the data values are between 110 and 170?

Solution

In a box plot, the data values between the first quartile (Q1) and the third quartile (Q3) represent the middle 50% of the data. This range is called the interquartile range (IQR). The question asks about the percentage of data values between 110 and 170, which likely correspond to Q1 and Q3.

If 110 is Q1 and 170 is Q3, then 50% of the data lies between these two values.

Answer: 50%

Do you want more details or have any questions?


Here are 5 questions related to the topic:

  1. How can you determine the percentage of data in other segments of a box plot?
  2. What does it indicate if the median is closer to Q1 than Q3 in a box plot?
  3. How can a box plot be used to identify skewness in the data?
  4. What are whiskers in a box plot, and what do they represent?
  5. How can the interquartile range help identify potential outliers in the data?

Tip: The interquartile range (IQR) is a useful measure of variability, especially in the presence of outliers, as it focuses on the central 50% of the data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Box plots
Interquartile range

Formulas

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Theorems

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Suitable Grade Level

High school