Question
Download Solution PDFनिम्नलिखित संख्याओं के मानक विचलन की गणना कीजिए: 5, 6, 4 और 2
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
संख्या = 5, 6, 4, और 2,
प्रयुक्त सूत्र:
σ = √[x – x̅)2/n]
x̅ = (x1 + x2 + x3 + x4)/4
σ = मानक विचलन
x̅ = माध्य
गणना:
माध्य = x̅ = (5 + 6 + 4 + 2)/4 = 4.25
|
x |
x – x̅ |
(X – x̅)2 |
|
5 |
0.75 |
.5625 |
|
6 |
1.75 |
3.0625 |
|
4 |
-0.25 |
.0625 |
|
2 |
-2.25 |
5.0625 |
|
Total |
|
8.75 |
⇒ σ = √(8.75)/4
⇒ √)2.1875)
∴ इन मानों का मानक विचलन 1.479 है।
मानक विचलन = यह वस्तुओं के माध्य मान से विचलन के वर्ग के अंकगणितीय माध्य का वर्गमूल है
σ = √[x – x̅)2/n]
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