If the standard deviation of the numbers 2,3 | vedclass

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Question

$\mathrm{SD}=\sqrt{\frac{\Sigma \mathrm{x}_{\mathrm{i}}^{2}}{\mathrm{n}}-\left(\frac{\Sigma \mathrm{x}_{\mathrm{i}}}{\mathrm{n}}\right)^{2}}$

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Vedclass · Accepted Answer

$\;3{a^2} - 32a + 84 = 0$

Vedclass · Answer

$\mathrm{SD}=\sqrt{\frac{\Sigma \mathrm{x}_{\mathrm{i}}^{2}}{\mathrm{n}}-\left(\frac{\Sigma \mathrm{x}_{\mathrm{i}}}{\mathrm{n}}\right)^{2}}$

$\frac{49}{4}=\frac{4+9+a^{2}+121}{4}-\left(\frac{16+a}{4}\right)^{2}$

$3 a^{2}-32 a+84=0$

${x_i}$	$3$	$8$	$13$	$18$	$25$
${f_i}$	$7$	$10$	$15$	$10$	$6$

If the standard deviation of the numbers $ 2,3,a $ and $11$ is $3.5$ then which of the following is true ?

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