Math Problem Statement

What is the range of the data set below?

94, 76, 74, 72, 83, 89, 81, 97

Solution

To find the range of a data set, subtract the smallest value from the largest value:

  1. Identify the smallest and largest values in the set:

    • Smallest value = 72
    • Largest value = 97
  2. Calculate the range: Range=9772=25\text{Range} = 97 - 72 = 25

So, the range of the data set is 25.

Would you like to know more details about how the range is used in data analysis, or any other questions?

Here are 5 related questions to explore:

  1. What is the median of the given data set?
  2. How do you calculate the mean (average) of this data set?
  3. What is the mode of a data set and does this set have one?
  4. How would you find the standard deviation of this data set?
  5. Can you explain how outliers can affect the range?

Tip: The range gives a quick idea of the spread of values, but it can be sensitive to extreme values (outliers).

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Math Problem Analysis

Mathematical Concepts

Statistics
Range

Formulas

Range = Largest value - Smallest value

Theorems

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Suitable Grade Level

Grades 5-7