Asked by Beniah Greene on May 26, 2024
Verified
Which of the following summary measures cannot be easily approximated from a box plot?
A) The range
B) The interquartile range
C) The second quartile
D) The standard deviation
Standard Deviation
A measure of how spread out numbers are in a dataset, indicating the variability or dispersion around the mean.
Box Plot
A graphical representation of a dataset's distribution, showing the median, quartiles, and outliers through a box and whisker plot.
Range
The difference between the highest and lowest values in a data set, reflecting the spread of values.
- Comprehend the principles of variability measures like range, interquartile range, and standard deviation.
Verified Answer
?R
?hwêta Rajpù?May 27, 2024
Final Answer :
D
Explanation :
The standard deviation cannot be easily approximated from a box plot. Box plots only show information about the spread of data within the interquartile range, and do not provide information about the overall distribution or the extent of outliers. The range and interquartile range can be approximated from a box plot, as can the median (or second quartile) by finding the horizontal line within the box.
Learning Objectives
- Comprehend the principles of variability measures like range, interquartile range, and standard deviation.