Math Problem Statement

Find the standard deviation for the data set: 76, 67, 62, 72.

Solution

The standard deviation for the data set 76,67,62,7276, 67, 62, 72 is 5.265.26, rounded to the nearest hundredth.

Would you like further details on how this was calculated or have any other questions?

Here are 5 related questions you might explore:

  1. How is standard deviation different from variance?
  2. How do you calculate the mean of this data set?
  3. What is the difference between population and sample standard deviation?
  4. How can you interpret standard deviation in real-world contexts?
  5. How does changing one of the numbers affect the standard deviation?

Tip: Always clarify whether you're calculating the population or sample standard deviation, as it impacts the result!

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Mean

Formulas

Standard Deviation formula for a sample: s = sqrt((Σ(xi - x̄)²) / (n - 1))
Mean: x̄ = Σxi / n

Theorems

Basic statistical theorem related to deviation from the mean

Suitable Grade Level

Grades 9-12