दिए गए आँकड़ों का मानक विचलन क्या है?

3, 8, 4, 5, 9, 13

Question

Question

This question was previously asked in

MP Excise Constable official Paper (Held on : 21 Feb 2023 shift 1)

Answer 1

दिया गया है:

दिए गए प्रेक्षण: 3, 8, 4, 5, 9, 13

प्रयुक्त अवधारणा:

मानक विचलन = $σ = \sqrt{\frac{\sum x_{i}^{2}}{n} - {(\frac{\sum x_{i}}{n})}^{2}}$

गणना:

n = 6

$\sum \frac{x_{i}}{n} = \frac{3 + 8 + 4 + 5 + 9 + 13}{6}$ = 7

$\frac{\sum x_{i}^{2}}{n} = \frac{3^{2} + 8^{2} + 4^{2} + 5^{2} + 9^{2} + 13^{2}}{6}$ = 60.66

अब, मानक विचलन होगा:

$\sqrt{60.66 - 7^{2}}$

$3.41$