What is a statistical question?
A statistical question is one that can be answered by collecting data and expects variability in the answers.
Give an example of a question that is not statistical.
"What is my age?" is not a statistical question because it has only one specific answer and no variability.
Why is "How many pets do students have?" a statistical question?
Because different students may have different numbers of pets, so the answers will vary. This variability is what makes the question statistical.
How does anticipating variability help in answering a statistical question?
It helps us understand that there will be a range of answers, and we can plan to summarize the data using appropriate tools like mean, median, or data displays.
Create a statistical question about the ages of your classmates.
"What are the ages of students in my class?"
What does it mean for data to have a distribution?
It means the data are spread out in a certain way across possible values. The distribution shows how often each value or range of values occurs.
What are the three key aspects of a data distribution?
Center (where the middle of the data lies) Range (how spread out the data is) Shape (the overall pattern of the data)
How can you describe the spread of data?
By looking at how much the values differ from each other using range, interquartile range, or mean absolute deviation.
What is the overall shape of a data distribution?
It describes the pattern the data makes (e.g., symmetric, skewed left or right, uniform, or bell-shaped).
Explain how the center of a distribution can help summarize the data.
The center gives us a single value that represents a typical or average value in the data set.
What is a measure of center?
A number that represents the middle or typical value of a data set, such as the mean or median.
What is the median?
The median is the middle number when the data is ordered from least to greatest. If there’s an even number of values, it’s the average of the two middle numbers
How do you find the mean of a data set?
Add all the values together and divide by the number of values.
Why might you choose median over mean in certain cases?
You might choose the median when the data has outliers or is skewed, because the median is not affected by extreme values.
Explain the difference between measures of center and measures of variation.
Measures of center (mean, median) tell where the data tends to cluster. Measures of variation (range, interquartile range, mean absolute deviation) tell how sp
What is a dot plot?
A simple graph where each data value is shown as a dot above a number line.
