Math Problem Statement

What is the median of the data represented in the stem-and-leaf plot?

Solution

This image shows a stem-and-leaf plot with data representing the number of marbles in students' collections. Here's how we can calculate the median of the data:

Data Breakdown:

  • Stem 1: 14, 17
  • Stem 2: 25
  • Stem 3: 30
  • Stem 4: 17
  • Stem 5: 02, 05, 25

Step-by-Step Process:

  1. List all the data values:

    • 14, 17, 25, 30, 17, 02, 05, 25
  2. Arrange the data in ascending order:

    • 02, 05, 14, 17, 17, 25, 25, 30
  3. Find the median:

    • The median is the middle value of a data set. Since there are 8 values (an even number), the median will be the average of the two middle values.
    • The two middle values are 17 and 17.
    • So, the median is (17 + 17) / 2 = 17.

Thus, the median of the data is 17.

Would you like a more detailed explanation or have any other questions?

Here are some related questions you might find interesting:

  1. How do you calculate the median of a data set with an odd number of values?
  2. What are other types of plots that are helpful for visualizing data?
  3. How do you calculate the mean and mode of the data set?
  4. What is the difference between a stem-and-leaf plot and a histogram?
  5. How do you handle outliers when calculating the median?

Tip: To avoid errors when finding the median, always arrange the data in ascending order first!

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Representation
Median

Formulas

Median = middle value (if odd number of data points), or average of middle two values (if even number of data points)

Theorems

Median theorem

Suitable Grade Level

Grades 5-7