What is the difference between qualitative and quantitative data?
Qualitative data describes categories or qualities. Quantitative data deals with numbers and amounts.
What type of graph is best for showing parts of a whole?
Pie chart.
You want to show how students' favorite sports break down as parts of a whole. What graph should you use?
Pie chart
What kind of data do histograms show?
Quantitative (usually continuous) data grouped in ranges.
A student uses a pie chart to show how long people exercise. Why is that a poor graph choice?
Pie charts show parts of a whole. Exercise time is quantitative and best shown with a histogram or dot plot.
Which sport is the most popular among students?
Swimming
Is "number of pets" discrete or continuous?
Discrete – you can count pets in whole numbers.
What kind of graph would you use for shoe sizes in a class?
Dot plot
You're comparing how many students in each grade level prefer different school lunches. What graph works best?
Side-by-side bar chart or Stacked bar chart
What are the "bins" in a histogram?
Intervals or ranges of values the data is grouped into.
Which is better for showing exact values: dot plot or histogram? Why?
Dot plot – you can see each individual value.
Below is the graph of students in 1st period and which class they are taking:
If there are 300 people in the school how many students are taking math during 1st
90
Is Movie ratings (Poor, Fair, Good, Excellent) an example of ordinal data or nominal data.
Ordinal Data
Why do bar graphs have spaces between bars, but histograms do not?
Bar graphs show separate categories; histograms show continuous data ranges.
You surveyed students about how many hours they sleep and want to show the exact counts. Which graph fits?
Dot plot
How would changing the bin width affect the shape of a histogram?
It changes how detailed the graph looks; wide bins hide detail, narrow bins show more variation.
Explain how a pie chart could be misleading.
If slices are too close in size or not labeled well, it’s hard to compare accurately.
Why is "ZIP code" considered qualitative, not quantitative?
ZIP codes are labels; they don’t have numerical meaning or mathematical use.
A line graph is best used to show what kind of data?
Data that changes over time.
You wanted to show the changes in distances ran as you get closer and closer to a marathon you are training for.
Line graph
Why must histogram bars touch?
Because the data is continuous – there are no gaps between intervals.
You see a dot plot with most of the data clustered at one end and just a couple dots far to the right. What does this suggest about the data?
There is a outlier.
You’ve collected the running times of students in a mile run, with times ranging from 6 to 14 minutes. You want to figure out how many students are in specific heats by how fast they ran. What type of graph would best show this?
Histogram
You’re given a histogram, but the bars have different widths. What’s the problem with this?
Histogram bins must be the same size. Unequal bin widths make it misleading.
Two graphs show the same dataset: one is a dot plot, and one is a histogram. Which one is better for large data sets?
Histograms