Math Problem Statement

Find the median, the range and the mode of 3, 6, 9, 7, 4, 6, 7, 0, 7

Solution

To find the median, range, and mode of the dataset 3,6,9,7,4,6,7,0,73, 6, 9, 7, 4, 6, 7, 0, 7, follow these steps:

  1. Order the data:
    0,3,4,6,6,7,7,7,90, 3, 4, 6, 6, 7, 7, 7, 9

  2. Median:
    The median is the middle value. Since there are 9 numbers (an odd count), the median is the 5th number in the ordered list:
    Median = 6

  3. Range:
    The range is the difference between the maximum and minimum values.
    Range=MaximumMinimum=90=9\text{Range} = \text{Maximum} - \text{Minimum} = 9 - 0 = 9

  4. Mode:
    The mode is the number that appears most frequently. Here, 77 appears 4 times, more than any other number.
    Mode = 7

Summary:

  • Median: 6
  • Range: 9
  • Mode: 7

Would you like further details on any of these calculations, or do you have any questions? Here are some related questions to consider:

  1. How do you calculate the mean of the dataset?
  2. What is the importance of the mode in data analysis?
  3. Can the median change if more numbers are added to the dataset?
  4. How does the range help in understanding the spread of data?
  5. What would happen to the mode if all numbers were unique?

Tip: When working with statistical measures, always start by ordering your data to simplify calculations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis

Formulas

Median = Middle value of ordered data
Range = Maximum - Minimum
Mode = Most frequently occurring value

Theorems

-

Suitable Grade Level

Grades 6-8