Math Problem Statement

find median of 1,2,3,4,5,6,7

Solution

To find the median of the data set 1,2,3,4,5,6,71, 2, 3, 4, 5, 6, 7:

  1. Arrange the data in ascending order:
    The data is already arranged as 1,2,3,4,5,6,71, 2, 3, 4, 5, 6, 7.

  2. Count the number of data points:
    There are 77 data points, which is odd.

  3. Find the middle value:
    Since the total count is odd, the median is the value at position n+12\frac{n+1}{2}, where n=7n = 7:
    Median position=7+12=4\text{Median position} = \frac{7+1}{2} = 4
    The fourth value is 44.

Median: 44

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Related Questions:

  1. What is the median of 2,4,6,8,10,12,142, 4, 6, 8, 10, 12, 14?
  2. How do you calculate the median for an even number of data points?
  3. What is the mode and how does it differ from the median?
  4. Can the median ever be a decimal in a data set of integers?
  5. How do you find the median for a grouped frequency distribution?

Tip:

Always arrange data in ascending order before calculating the median!

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Math Problem Analysis

Mathematical Concepts

Statistics
Measures of Central Tendency
Median

Formulas

Median for odd-sized data set: Position = (n + 1) / 2, where n is the number of data points

Theorems

Median theorem for ordered data

Suitable Grade Level

Grades 5-7