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?

Answer the following based on the histograms shown in the next column.

a. Which measure of central tendency would you recommend reporting for the data whose histogram is shown in Figure I? Why? b. Which one has more dispersion? Explain.

[NW] [DATA] TelevisionsIn the Sullivan Statistics Survey I, individuals were asked to disclose the number of televisions in their household. In the following probability distribution, the random variable X represents the number of televisions in households.

d. Find the standard deviation of the random variable X.

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

If a distribution has zero variance, which of the following statements is true about the data values? $\mathrm{Var}\left(X\right)=0$

In the context of displaying error bars on a graph, which quantity is most commonly used to represent the variability of the data?

Which formula should you use to calculate the variance and which formula should you use to calculate the standard deviation of a sample of $n$ observations $x_1$, $x_2$, ..., $x_n$?

Given the data set $0.40$, $0.72$, $1.15$, $2.14$, what is the variance of the data set? Round your answer to the nearest hundredth.

Which of the following best describes the relationship between $\mathrm{variance}$ and $\mathrm{standard\; deviation}$ for a data set?