Look at part 1. What is data?
Possible answers: Data are information; Data are information that can be numerical or categorical; Data are information that can be counted or measured.
What does it mean to say that the data are expected to vary? Can you provide an example?
It means that each data value you collect to answer the statistical question will not be equal. Examples vary.
Which questions are statistical?
Question 2 and question 3.
Look at part 2. How would you describe a measure of center? How would you describe a measure of variation?
Measures of center are single numbers that are used to describe the entire data set. Measures of variation are numbers that represent how much variability (difference) there is between the values in the data set.
Which terms listed in the table are measures of center?
The mean and the median are measures of center.
What is the difference between the mean and the median?
Possible answer: The mean is the average value and includes all of the values of the data set in its calculation. The median is not a calculation. It is the middle value in the data set.
The IQR and MAD are measures of variation. What does the IQR represent about a data set?
The IQR represents the spread of the middle 50% of the data set.
What information does the MAD provide about a data set?
The MAD represents the average distance of the values in the data set from the mean.
Look at part 3. What is the median number of siblings?
What percentage of the data have 3 or more siblings?
What is the interquartile range of this data? How do you know?
2 siblings. Q3 is 4 siblings; Q1 is 2 siblings:
If the Q3 value were 5 instead of 4, would the data set have more variability or less variability? How do you know?
There would be more variability. The IQR would increase from 2 to 3. Higher IQRs are associated with greater variability.
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