
Comparing data distributions
Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the interquartile range (IQR)?
Back
The interquartile range (IQR) is a measure of statistical dispersion, representing the range between the first quartile (Q1) and the third quartile (Q3) in a data set. It is calculated as IQR = Q3 - Q1.
2.
FLASHCARD QUESTION
Front
How do you calculate the median of a data set?
Back
To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of observations, the median is the average of the two middle values.
3.
FLASHCARD QUESTION
Front
What does a box plot represent?
Back
A box plot visually summarizes the distribution of a data set by displaying its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.
4.
FLASHCARD QUESTION
Front
What is the significance of the median in data analysis?
Back
The median is a measure of central tendency that indicates the middle value of a data set, providing a better representation of the data when it is skewed.
5.
FLASHCARD QUESTION
Front
What does a larger interquartile range indicate about a data set?
Back
A larger interquartile range indicates greater variability or spread in the middle 50% of the data, suggesting more diversity in the values.
6.
FLASHCARD QUESTION
Front
How can you compare the spread of two data sets using box plots?
Back
You can compare the spread of two data sets by examining the lengths of the boxes and the whiskers in their box plots; longer boxes or whiskers indicate greater spread.
7.
FLASHCARD QUESTION
Front
What is the purpose of dot plots in data representation?
Back
Dot plots are used to display individual data points in a simple and clear manner, allowing for easy comparison of distributions and frequencies.
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