Solve sqrt{frac{left(96.47-96.7right)^2+left(96.47-95.7right)^2+left(96.47-97.5right)^2+left(96.47-97.6right)^2+{left(96.47-96.6right)}^{2}+{left(96.47-96.9right)}^{2}+{left(96.2-96.47right)}^{2}+{left(96.47-97right)}^{2}+{left(96.47-95.6right)}^{2}+{left(96.47-95.9right)}^{2}+{left(96.47-97.2right)}^{2}+{left(96.47-96.3right)}^{2}+{left(96.47-97.1right)}^{2}+{left(96.47-96.4right)}^{2}+{left(96.47-96.5right)}^{2}+{left(96.47-96.8right)}^{2}+{left(96.47-94.9right)}^2+{left(96.47-95.8right)}^2+{left(96.47-97.3right)}^2+{left(96.47-95.4right)}^2}{20}}

$$\sqrt{ \frac{ { \left(96.47-96.7 \right) }^{ 2 } + { \left(96.47-95.7 \right) }^{ 2 } + { \left(96.47-97.5 \right) }^{ 2 } + { \left(96.47-97.6 \right) }^{ 2 } + { \left(96.47-96.6 \right) }^{ 2 } + { \left(96.47-96.9 \right) }^{ 2 } + { \left(96.2-96.47 \right) }^{ 2 } + { \left(96.47-97 \right) }^{ 2 } + { \left(96.47-95.6 \right) }^{ 2 } + { \left(96.47-95.9 \right) }^{ 2 } + { \left(96.47-97.2 \right) }^{ 2 } + { \left(96.47-96.3 \right) }^{ 2 } + { \left(96.47-97.1 \right) }^{ 2 } + { \left(96.47-96.4 \right) }^{ 2 } + { \left(96.47-96.5 \right) }^{ 2 } + { \left(96.47-96.8 \right) }^{ 2 } + { \left(96.47-94.9 \right) }^{ 2 } + { \left(96.47-95.8 \right) }^{ 2 } + { \left(96.47-97.3 \right) }^{ 2 } + { \left(96.47-95.4 \right) }^{ 2 } }{ 20 } }$$

Evaluate

$$\frac{\sqrt{5221}}{100}\approx 0.722564876$$

Solution Steps

Subtract 96.7 from 96.47 to get -0.23.

$$\sqrt{\frac{\left(-0.23\right)^{2}+\left(96.47-95.7\right)^{2}+\left(96.47-97.5\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.23 to the power of 2 and get 0.0529.

$$\sqrt{\frac{0.0529+\left(96.47-95.7\right)^{2}+\left(96.47-97.5\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 95.7 from 96.47 to get 0.77.

$$\sqrt{\frac{0.0529+0.77^{2}+\left(96.47-97.5\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.77 to the power of 2 and get 0.5929.

$$\sqrt{\frac{0.0529+0.5929+\left(96.47-97.5\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 0.0529 and 0.5929 to get 0.6458.

$$\sqrt{\frac{0.6458+\left(96.47-97.5\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97.5 from 96.47 to get -1.03.

$$\sqrt{\frac{0.6458+\left(-1.03\right)^{2}+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -1.03 to the power of 2 and get 1.0609.

$$\sqrt{\frac{0.6458+1.0609+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 0.6458 and 1.0609 to get 1.7067.

$$\sqrt{\frac{1.7067+\left(96.47-97.6\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97.6 from 96.47 to get -1.13.

$$\sqrt{\frac{1.7067+\left(-1.13\right)^{2}+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -1.13 to the power of 2 and get 1.2769.

$$\sqrt{\frac{1.7067+1.2769+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 1.7067 and 1.2769 to get 2.9836.

$$\sqrt{\frac{2.9836+\left(96.47-96.6\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.6 from 96.47 to get -0.13.

$$\sqrt{\frac{2.9836+\left(-0.13\right)^{2}+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.13 to the power of 2 and get 0.0169.

$$\sqrt{\frac{2.9836+0.0169+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 2.9836 and 0.0169 to get 3.0005.

$$\sqrt{\frac{3.0005+\left(96.47-96.9\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.9 from 96.47 to get -0.43.

$$\sqrt{\frac{3.0005+\left(-0.43\right)^{2}+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.43 to the power of 2 and get 0.1849.

$$\sqrt{\frac{3.0005+0.1849+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 3.0005 and 0.1849 to get 3.1854.

$$\sqrt{\frac{3.1854+\left(96.2-96.47\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.47 from 96.2 to get -0.27.

$$\sqrt{\frac{3.1854+\left(-0.27\right)^{2}+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.27 to the power of 2 and get 0.0729.

$$\sqrt{\frac{3.1854+0.0729+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 3.1854 and 0.0729 to get 3.2583.

$$\sqrt{\frac{3.2583+\left(96.47-97\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97 from 96.47 to get -0.53.

$$\sqrt{\frac{3.2583+\left(-0.53\right)^{2}+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.53 to the power of 2 and get 0.2809.

$$\sqrt{\frac{3.2583+0.2809+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 3.2583 and 0.2809 to get 3.5392.

$$\sqrt{\frac{3.5392+\left(96.47-95.6\right)^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 95.6 from 96.47 to get 0.87.

$$\sqrt{\frac{3.5392+0.87^{2}+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.87 to the power of 2 and get 0.7569.

$$\sqrt{\frac{3.5392+0.7569+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 3.5392 and 0.7569 to get 4.2961.

$$\sqrt{\frac{4.2961+\left(96.47-95.9\right)^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 95.9 from 96.47 to get 0.57.

$$\sqrt{\frac{4.2961+0.57^{2}+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.57 to the power of 2 and get 0.3249.

$$\sqrt{\frac{4.2961+0.3249+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 4.2961 and 0.3249 to get 4.621.

$$\sqrt{\frac{4.621+\left(96.47-97.2\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97.2 from 96.47 to get -0.73.

$$\sqrt{\frac{4.621+\left(-0.73\right)^{2}+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.73 to the power of 2 and get 0.5329.

$$\sqrt{\frac{4.621+0.5329+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 4.621 and 0.5329 to get 5.1539.

$$\sqrt{\frac{5.1539+\left(96.47-96.3\right)^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.3 from 96.47 to get 0.17.

$$\sqrt{\frac{5.1539+0.17^{2}+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.17 to the power of 2 and get 0.0289.

$$\sqrt{\frac{5.1539+0.0289+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.1539 and 0.0289 to get 5.1828.

$$\sqrt{\frac{5.1828+\left(96.47-97.1\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97.1 from 96.47 to get -0.63.

$$\sqrt{\frac{5.1828+\left(-0.63\right)^{2}+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.63 to the power of 2 and get 0.3969.

$$\sqrt{\frac{5.1828+0.3969+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.1828 and 0.3969 to get 5.5797.

$$\sqrt{\frac{5.5797+\left(96.47-96.4\right)^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.4 from 96.47 to get 0.07.

$$\sqrt{\frac{5.5797+0.07^{2}+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.07 to the power of 2 and get 0.0049.

$$\sqrt{\frac{5.5797+0.0049+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.5797 and 0.0049 to get 5.5846.

$$\sqrt{\frac{5.5846+\left(96.47-96.5\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.5 from 96.47 to get -0.03.

$$\sqrt{\frac{5.5846+\left(-0.03\right)^{2}+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.03 to the power of 2 and get 0.0009.

$$\sqrt{\frac{5.5846+0.0009+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.5846 and 0.0009 to get 5.5855.

$$\sqrt{\frac{5.5855+\left(96.47-96.8\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 96.8 from 96.47 to get -0.33.

$$\sqrt{\frac{5.5855+\left(-0.33\right)^{2}+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.33 to the power of 2 and get 0.1089.

$$\sqrt{\frac{5.5855+0.1089+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.5855 and 0.1089 to get 5.6944.

$$\sqrt{\frac{5.6944+\left(96.47-94.9\right)^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 94.9 from 96.47 to get 1.57.

$$\sqrt{\frac{5.6944+1.57^{2}+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 1.57 to the power of 2 and get 2.4649.

$$\sqrt{\frac{5.6944+2.4649+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 5.6944 and 2.4649 to get 8.1593.

$$\sqrt{\frac{8.1593+\left(96.47-95.8\right)^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 95.8 from 96.47 to get 0.67.

$$\sqrt{\frac{8.1593+0.67^{2}+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate 0.67 to the power of 2 and get 0.4489.

$$\sqrt{\frac{8.1593+0.4489+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Add 8.1593 and 0.4489 to get 8.6082.

$$\sqrt{\frac{8.6082+\left(96.47-97.3\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 97.3 from 96.47 to get -0.83.

$$\sqrt{\frac{8.6082+\left(-0.83\right)^{2}+\left(96.47-95.4\right)^{2}}{20}}$$

Calculate -0.83 to the power of 2 and get 0.6889.

$$\sqrt{\frac{8.6082+0.6889+\left(96.47-95.4\right)^{2}}{20}}$$

Add 8.6082 and 0.6889 to get 9.2971.

$$\sqrt{\frac{9.2971+\left(96.47-95.4\right)^{2}}{20}}$$

Subtract 95.4 from 96.47 to get 1.07.

$$\sqrt{\frac{9.2971+1.07^{2}}{20}}$$

Calculate 1.07 to the power of 2 and get 1.1449.

$$\sqrt{\frac{9.2971+1.1449}{20}}$$

Add 9.2971 and 1.1449 to get 10.442.

$$\sqrt{\frac{10.442}{20}}$$

Expand \frac{10.442}{20} by multiplying both numerator and the denominator by 1000.

$$\sqrt{\frac{10442}{20000}}$$

Reduce the fraction \frac{10442}{20000} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{5221}{10000}}$$

Rewrite the square root of the division \sqrt{\frac{5221}{10000}} as the division of square roots \frac{\sqrt{5221}}{\sqrt{10000}}.

$$\frac{\sqrt{5221}}{\sqrt{10000}}$$

Calculate the square root of 10000 and get 100.

$$\frac{\sqrt{5221}}{100}$$