3. Describing Data Numerically

Which of the following is the most common measure of total risk in statistics? i. $\mathrm{variance}$ ii. $\mathrm{standard\; deviation}$ iii. $\sqrt{\mathrm{variance}}$

Which of the following best describes the relationship between the $standarddeviation$ and the $precision$ of a procedure?

Given the data set $2$, $4$, $4$, $4$, $5$, $5$, $7$, $9$, what is the variance and what is the standard deviation, rounded to the nearest whole number?

As the mean $\mu$ increases in a normal distribution, what happens to the graph of the normal curve?

Under which of the following conditions will a data value have a negative z-score when using the formula $z=\frac{x-\mu }{\sigma }$?

Which of the following is not a property of the $s$tandard deviation?

If the standard deviation for a set of data is $0$, what does this indicate about the data values?

As the $\mathrm{mean}$ increases in a $\mathrm{normal}\mathrm{distribution}$, what happens to the graph of the $\mathrm{normal}\mathrm{curve}$?

Suppose the birth weights of newborns in a population are normally distributed with a mean of $3.5$ kg and a standard deviation of $0.5$ kg. What is the z-score of a newborn who weighs $4$ kg?