Part 3: Quantitative Data

Open Ended

Just a review... what kind of data is used for bar charts and pie charts?

Multiple Choice

Why is it important to summarize quantitative data when dealing with large datasets?

• It helps us understand the data more easily.

• It makes the data look more attractive.

• It reduces the amount of data we have to store.

• It allows us to use bar and pie charts.

Multiple Choice

What is the purpose of dividing the span of values into bins when creating a histogram?

• To make the data easier to analyze by grouping values

• To increase the number of data points

• To reduce the range of the data

• To eliminate outliers

Open Ended

How does a histogram display the distribution of earthquake magnitudes, and what information can be quickly observed from it?

Multiple Select

Which of the following statements about relative frequency histograms is/are correct?

• They display the percentage of cases in each bin.

• They use counts instead of percentages.

• They are faithful to the principle of displaying distributions.

• They do not show the distribution at a glance.

Multiple Choice

Given the touchdown passes for Brett Favre, what would be the first step in creating a histogram for this data?

• Divide the data into bins of equal width

• Calculate the mean of the data

• Draw a bar chart

• Sort the data in ascending order

Open Ended

In what way do stem-and-leaf displays differ from histograms, and what advantage do they offer?

Open Ended

Compare the histogram and stem-and-leaf display for the points scored in a basketball game. Which graphical display do you prefer?

Multiple Choice

What is the purpose of including a key in a stem-and-leaf display?

• To show the frequency of each value

• To explain what the stems and leaves represent

• To label the bins

• To round the data values

Multiple Choice

Which of the following is NOT a step in constructing a stem-and-leaf display?

• Use the stems to label the bins.

• Use only one digit for each leaf.

• Forget to include a key.

• Cut each data value into leading and trailing digits.

Open Ended

What's wrong with the dotplot shown in the image?

Multiple Choice

What is the purpose of creating a dotplot as described in the instructions?

• To compare two different classes

• To find out how many words you can type in one minute

• To practice drawing graphs

• To learn about different types of charts

Open Ended

Explain why it is important to think carefully about which type of data display to use when presenting quantitative data.

Multiple Choice

Before making a dotplot, what important condition should you check according to the Quantitative Data Condition?

• The data are values of a categorical variable

• The data are values of a quantitative variable whose units are known

• The data are values of a qualitative variable

• The data are values of a binary variable

Multiple Select

Which of the following questions help you determine the shape of a distribution?

• Does the histogram have a single, central hump or several separated humps?

• Is the histogram symmetric or skewed?

• Do any unusual features stick out?

• What is the mean of the data?

Multiple Choice

What is the term for humps in a histogram, and how are histograms classified based on the number of peaks?

• Modes; unimodal, bimodal, multimodal

• Tails; left-tailed, right-tailed, symmetric

• Centers; central, off-center, distributed

• Bins; single-bin, double-bin, multi-bin

Multiple Choice

Based on the histogram shown, how would you describe a distribution with two apparent peaks?

• Bimodal

• Unimodal

• Uniform

• Skewed

Multiple Choice

Which of the following statements about the tails of a distribution is correct?

• The thinner ends are called tails, and if one tail is longer, the histogram is skewed to that side.

• The thicker ends are called tails, and if one tail is longer, the histogram is symmetric.

• The thinner ends are called peaks, and if both are equal, the histogram is bimodal.

• The thicker ends are called peaks, and if both are equal, the histogram is uniform.

Open Ended

What is one thing you learned today about dealing with quantitative data that you found most useful or interesting?

Multiple Choice

Why is it important to summarize quantitative data when dealing with large sets of numbers?

• It helps us understand the data more easily.

• It makes the data more complicated.

• It hides important information.

• It is required for all types of data.