Question

what is the standard deviation of 652 672 670 639 642 and 670​

Answer 1

Answer:

the answer to this question is 14.256

step-by-step explanation:

at first we find the mean of the given numbers,

$\frac{(642 + 652 + 672 + 670 + 639 + 670)}{6} \\ = 657.5$

Now standard deviations

$= \sqrt{ \frac{ {(642 - 657.5)}^{2} + {(652 - 657.5)}^{2} + {(672 - 657.5)}^{2} + {(670 - 657.5)}^{2} + {(639 - 657.5) }^{2} + {(670 - 657.5)}^{2} }{6} } \\ = \sqrt{ \frac{ {(15.5)}^{2} + ( {5.5)}^{2} + {(14.5)}^{2} + {(12.5)}^{2} + {(18.5)}^{2} + {(15.5)}^{2} }{6} } \\ = \sqrt{ \frac{240.25 + 30.25 + 210.25 + 156.25 + 342.25 + 240.25}{6} } \\ = \sqrt{ \frac{1219.5}{6} } \\ = \sqrt{203.25} \\ = 14.256$