Question 29.6: Find the standard deviation of −2, 7.2, 6.9, −10.4, 5.3....
Find the standard deviation of −2, 7.2, 6.9, −10.4, 5.3.
Step-by-Step
x_{1}=-2,x_{2}=7.2,x_{3}=6.9,x_{4}=-10.4,x_{5}=5.3,\bar{x}=1.4 \\
x_{1}-{\overline{{x}}}=-3.4 \\
x_{2}-{\overline{{x}}}=5.8 \\
x_{3}-{\overline{{x}}}=5.5 \\
x_{4}-{\overline{{x}}}=-11.8 \\
x_{5}-{\overline{{x}}}=3.9\\
variance = \frac{(-3.4)^{2}+(5.8)^{2}+(5.5)^{2}+(-11.8)^{2}+(3.9)^{2}}{5}=\frac{229.9}{5}\\
standard deviation = \!{\sqrt{\frac{229.9}{5}}}=6.78
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