If the standard deviation of a set of numbers is 3.6, what is the variance?

Source: JAMB · 2024

If the standard deviation of a set of numbers is 3.6, what is the variance?

  1. 12.69
  2. 12.9
  3. 12.96 ✓
  4. 12.98
Explanation

Step 1: Understand the relationship
Variance = (Standard Deviation)²
Standard Deviation = √Variance

Step 2: Identify the given value
Standard Deviation = 3.6

Step 3: Calculate variance
Variance = 3.6²
Variance = 3.6 × 3.6
Variance = 12.96

Remember: Variance measures the spread of data around the mean. Standard deviation is just the square root of variance, making it easier to interpret because it’s in the same units as the original data.

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