Exam 2: Describing the Distribution of a Single Variable

Using dummy variables is an efficient way of determining counts of categorical variables.

Below you will find summary measures on starting salaries for classroom teachers across the United States. You will also find a list of selected states and their average starting teacher salary. All values are in thousands of dollars. Starting salaries for classroom teachers across the United States Selected states and their average starting teacher salary (in thousands of dollars) -Which of the states listed paid their teachers average salaries that exceed at least 75% of all average salaries?

How large must a person's salary should be to qualify as an outlier on the high side? How many outliers are there in these data?

The difference between the first and third quartile is called the:

Suppose that an analysis of a set of test scores reveals that: , and -What do these statistics tell you about the shape of the distribution?

The only meaningful way to summarize categorical data is with counts of observations in the categories.

What salary amount represents the second quartile?

A distribution of a numerical variable with no skewness is said to be symmetric.

Time series graphs chart the values of one or more time series, using time on the vertical axis.

A manager for Marko Manufacturing, Inc. has recently been hearing some complaints that women are being paid less than men for the same type of work in one of their manufacturing plants. The box plots shown below represent the annual salaries for all salaried workers in that facility (40 men and 34 women). -Would you conclude that there is a difference between the salaries of women and men in this plant? Justify your answer.

Compute the median number of children.

How many job applicants scored between 10 and 30?

Below you will find summary measures on starting salaries for classroom teachers across the United States. You will also find a list of selected states and their average starting teacher salary. All values are in thousands of dollars. Starting salaries for classroom teachers across the United States Selected states and their average starting teacher salary (in thousands of dollars) -Which of the states listed paid their teachers average salaries that are below 75% of all average salaries?

Gender and states of residence are examples of ____ data.

Both ordinal and nominal variables are categorical.

Coding males as 1 and females as 0 in a data set illustrates the use of:

In a generic box plot, the asterisk inside the box indicates the location of the:

What can you say about the shape of the distributions given the accompanying box plots?

Assume that the histogram of a data set is symmetric and bell shaped, with a mean of 75 and standard deviation of 10. Then, approximately 95% of the data values were between 55 and 95.

In an effort to provide more consistent customer service, the manager of a local fast-food restaurant would like to know the dispersion of customer service times in relation to their average value for the facility's drive-up window. The table below provides summary measures for the customer service times (in minutes) for a sample of 50 customers collected over the past week. -Interpret the variance and standard deviation of this sample.