AI Math
ऐप खोलें
statistics · worked example

Solve {1, 2, 3, 4, 5} का मानक विचलन = = √2 ≈ 1.414

Method: समष्टि मानक विचलन. Verified step-by-step solution with our free AI math solver.
Problem

σ, {1,2,3,4,5}\sigma,\ \{1, 2, 3, 4, 5\}

Step-by-step solution

  1. माध्य की गणना करें: xˉ=1+2+3+4+55=3\bar{x} = \frac{1+2+3+4+5}{5} = 3।

  2. माध्य से विचलन: −2,−1,0,1,2-2, -1, 0, 1, 2।

  3. विचलनों के वर्ग: 4,1,0,1,44, 1, 0, 1, 4। योग = 1010।

  4. समष्टि प्रसरण: σ2=105=2\sigma^2 = \frac{10}{5} = 2।

  5. मानक विचलन: σ=2≈1.414\sigma = \sqrt{2} \approx 1.414।

Answer

σ=2≈1.414\sigma = \sqrt{2} \approx 1.414

Want to solve a different problem? Open the standard-deviation solver →

Related worked examples

Read more