Question

find standard deviation 101,102,103,104,105,106​

Answer 1

Answer:

the answer to this question is 1.708

step-by-step explanation:

here given the numbers are 101,102,103,104,105&106

at first we find the mean value of this numbers,

$\frac{(101 + 102 + 103 + 104 + 105 + 106)}{6} \\ = \frac{621}{6} \\ = 103.5$

therefore,the standard deviations

$= \sqrt{ \frac{ {(101 - 103.5)}^{2} + {(102 - 103.5)}^{2} + {(103 - 103.5)}^{2} + {(104 - 103.5)}^{2} + {(105 - 103.5)}^{2} + {(106 - 103.5)}^{2} }{6} } \\ = \sqrt{ \frac{ {( - 2.5)}^{2} + {( - 1.5)}^{2} + {( - 0.5)}^{2} + {(0.5)}^{2} + {(1.5)}^{2} + {(2.5)}^{2} }{6} } \\ = \sqrt{ \frac{(6.25 + 2.25 + 0.25 + 0.25 + 2.25 + 6.25)}{6} } \\ = \sqrt{ \frac{17.5}{6} } \\ = \sqrt{2.917} \\ = 1.708$