Math Problem Statement

Calculate the range for each data set and determine the value of the largest range.

Solution

To solve this problem, we need to calculate the range for each set of data. The range is found by subtracting the smallest number from the largest number in each data set.

Let's calculate the range for each set:

Set A: 1, 3, 4, 5, 4, 4

  • Smallest value = 1
  • Largest value = 5
  • Range = 5 - 1 = 4

Set B: 12, 14, 13, 15, 14, 12

  • Smallest value = 12
  • Largest value = 15
  • Range = 15 - 12 = 3

Set C: 20, 18, 19, 20, 19, 20

  • Smallest value = 18
  • Largest value = 20
  • Range = 20 - 18 = 2

Set D: -2, -1, 1, 0, 1, -2

  • Smallest value = -2
  • Largest value = 1
  • Range = 1 - (-2) = 3

Now, let's compare the ranges:

  • Range for A = 4
  • Range for B = 3
  • Range for C = 2
  • Range for D = 3

The largest range is from Set A, with a range of 4.

Would you like further details or clarifications?

Here are some related questions:

  1. How can we calculate the range for a data set with negative numbers?
  2. What is the significance of range in statistics?
  3. How does the range relate to the variance of a data set?
  4. What is the difference between range and interquartile range?
  5. How would outliers affect the range of a data set?

Tip: When calculating the range, always remember to subtract the smallest value from the largest value to get the correct result.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Data Analysis

Formulas

Range = Largest value - Smallest value

Theorems

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Suitable Grade Level

Grades 5-7