Math Problem Statement

Consider the following data:

14,4,6,10,3,5

Step 3 of 3 : Calculate the value of the range.

Solution

The range of a set of data is calculated by subtracting the smallest value from the largest value.

Given the data:
14, 4, 6, 10, 3, 5

  1. Find the largest value:
    The largest value is 14.

  2. Find the smallest value:
    The smallest value is 3.

  3. Calculate the range:
    Range=Largest valueSmallest value=143=11\text{Range} = \text{Largest value} - \text{Smallest value} = 14 - 3 = 11

So, the value of the range is 11.

Would you like further clarification or assistance with related calculations?

Here are 5 follow-up questions:

  1. How do you calculate the mean of the given data set?
  2. What is the median of the data set?
  3. Can you explain how the variance is calculated for a set of data?
  4. How do you calculate the standard deviation from the variance?
  5. How does the range relate to the interquartile range in data analysis?

Tip: When calculating the range, always ensure to correctly identify the smallest and largest values in your data set. This will avoid errors in your 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