Find the standard deviation for each data set. Use the standard deviations to compare each pair of data sets. the number of buttons on selected outfits:

$$\begin{matrix} \text{11} & \text{5} & \text{12} & \text{8} & \text{3} & \text{12} & \text{10} & \text{10} & \text{0} & \text{5} & \text{0} & \text{2} & \text{7} & \text{10}\\ \text{the number of pockets in the same outfits: }\\ \text{5} & \text{5} & \text{5} & \text{2} & \text{2} & \text{5} & \text{3} & \text{2} & \text{0} & \text{2} & \text{0} & \text{0} & \text{5} & \text{5}\\ \end{matrix}$$

A data set has mean 25 and standard deviation 5. Find the z -score of each value. 39

For each sum, find the number of terms, the first term, and the last term. Then evaluate the series. $\sum_{n=5}^{10}(20-n)$

For each sum, find the number of terms, the first term, and the last term. Then evaluate the series. $\sum_{n=1}^{5}(-2 n-1)$

Use summation notation to write each arithmetic series for the specified number of terms. $(-3)+(-6)+(-9)+\ldots ; n=5$

Write each expression in simplest form. $2 \sqrt{32 x^{2}}+3 \sqrt{72 x^{2}}$

Use summation notation to write each arithmetic series for the specified number of terms. $8+9+10+\ldots ; n=8$

Determine the whole number of standard deviations from the mean that include all data values. The mean price of the nonfiction books on a bestsellers list is $25.01; the standard deviation is$2.62. $26.95,$22.95, $24.00,$24.95, $29.95,$19.95, $24.95,$24.00, $27.95,$25.00

Each sequence has eight terms. Evaluate each related series. -13, -14.5, -16, ..., -23.5

Each sequence has eight terms. Evaluate each related series. 1, -1, -3, ..., -13

How many protons, neutrons, and electrons are in the following atoms?

$$^{80}Br$$

Identify the outlier of each set of values. Then describe how its value affects the mean of the data.

$$\begin{matrix} \text{947} & \text{757} & \text{103} & \text{619} & \text{661} & \text{582} & \text{626} & \text{900} & \text{869} & \text{728} & \text{1001} & \text{596} & \text{515}\\ \end{matrix}$$

Identify the outlier in each data set. Then find the mean, median, and mode of the data set when the outlier is included and when it is not. 947 757 103 619 661 582 626 900 869 728 1001 596 515

Calculate the left Riemann sums for the given functions over the given interval, using the given values of n. (When rounding, round answers to four decimal places.) f(x)=1-3x over [−1, 1], n=4