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What will be the variance value returned by scipy.stats.describe for the array [1, 2, 3, 4, 5]?

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SciPy - Statistical Functions (scipy.stats) Basics
What will be the variance value returned by scipy.stats.describe for the array [1, 2, 3, 4, 5]?
from scipy.stats import describe
arr = [1, 2, 3, 4, 5]
stats = describe(arr)
print(round(stats.variance, 2))
A3.0
B2.0
C2.3
D2.5
Step-by-Step Solution
Solution:
  1. Step 1: Calculate variance manually

    Mean is 3. Variance = sum((x - mean)^2) / (n - 1) = ((1-3)^2 + (2-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2) / 4 = (4 + 1 + 0 + 1 + 4) / 4 = 10 / 4 = 2.5.
  2. Step 2: Confirm output matches calculation

    The printed variance rounded to 2 decimals is 2.5.
  3. Final Answer:

    2.5 -> Option D
  4. Quick Check:

    Variance calculation = 2.5 [OK]
Quick Trick: Variance divides by (n-1) for sample variance [OK]
Common Mistakes:
MISTAKES
  • Dividing by n instead of n-1
  • Incorrect mean calculation
  • Rounding errors

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