Find the standard deviation of the following data (rounded off to two decimal places). 5, 3, 4, 7

Find the standard deviation of the following data (rounded off to two decimal places).
निम्नलिखित आँकड़ों का मानक विचलन ज्ञात कीजिए। अपना उत्तर दशमलव के बाद दो स्थानों तक लिखिए।
5, 3, 4, 7

1.48 3.21 4.12 2.45

Detailed Solution & Logic

Correct Answer:

1.48

Mean,$ x=\frac{5+3+4+7}{4}=4.75$

Variance,
$\frac{(5-4.75)^2+(3-4.75)^2+(4-4.75)^2+(7-4.75)^2}{4}$
$=\frac{0.0625+3.0625+0.5625+5.0625}{4}$
$=\frac{8.75}{4}=2.1875$
Standard Deviation,
$\sqrt{2.1875} 1.48$
Answer: 1.48

← Previous Question Next Question →