Math Problem Statement

What is the median of the data set?

What is the median of the data set?

Solution

This image represents a stem-and-leaf plot showing rainfall (in inches) with the key stating that "3|1" means 3.1 inches.

Steps to find the median:

  1. Extract the data from the stem-and-leaf plot.

    • "0|" gives: 0.0, 0.5, 0.6, 0.8
    • "1|" gives: 1.1, 1.4, 1.5
    • "2|" gives: 2.0, 2.0, 2.1, 2.3, 2.4
    • "3|" gives: 3.1, 3.1, 3.1
  2. List the data in order:

    • 0.0, 0.5, 0.6, 0.8, 1.1, 1.4, 1.5, 2.0, 2.0, 2.1, 2.3, 2.4, 3.1, 3.1, 3.1
  3. Find the median:

    • There are 15 data points. The middle value is the 8th value.
    • Median = 2.0 inches.

Would you like more details or explanations?

Here are five related questions to explore further:

  1. How do you find the mode of the data set?
  2. What is the range of the rainfall data?
  3. How do you calculate the mean rainfall?
  4. What are the quartiles of the data set?
  5. How would the median change if an additional value was added?

Tip: The median is unaffected by extreme values, making it a good measure for skewed data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Analysis
Stem-and-Leaf Plot

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8