91Ó°ÊÓ

The set's data points are:

800, 100, 76, 98, 103, 85, 69.

A data set's range is given by range = max-min.

The formula computes the standard deviation.

$s=\sqrt{\frac{\underset{}{∑}{x_i}^2-{\left(\underset{}{∑}{x}_i\right)}^2/n}{n-1}}$

Because it has the same maximum and lower minimum as the build-up data set, it has more variation.

As a result, the non-build-up data set has more variation.

The set's data points are:

800, 100, 76, 98, 103, 85, 69.

A data set's range is given by range = max-min.

The formula computes the standard deviation.

$s=\sqrt{\frac{\underset{}{∑}{x_i}^2-{\left(\underset{}{∑}{x}_i\right)}^2/n}{n-1}}$

A data set's range is given by range = max-min.

Range

$$\begin{gathered} =103-69 \\ =34 \end{gathered}$$

As a result, the data set's range is 34.

The mean of the given data set.

$$\begin{gathered} \stackrel{¯}{x}=\frac{88+100+76+98+103+85+69}{7} \\ \stackrel{¯}{x}=\frac{619}{7} \\ \stackrel{¯}{x}=88.4286 \end{gathered}$$

Standard deviation

$$\begin{gathered} \mathrm{σ}=\sqrt{\frac{\underset{}{∑}{\left(x_i-\stackrel{¯}{x}\right)}^2}{n-1}} \\ \mathrm{σ}=\sqrt{\frac{981.7143}{7-1}} \\ \mathrm{σ}≈12.7914 \end{gathered}$$

As a result, the given data's range and standard deviation are 34 and 12.8, respectively.