Asked by Angela Scamardella on Jul 09, 2024
Verified
A sample of 600 values produced the following summary statistics: 
Based on this information, the lower fence on a box and whisker plot is:
A) 26.80
B) -4.60
C) 75.80
D) 102.60
E) 56.8
Summary Statistics
Numeric values that summarize and provide information about your sample data, including measures like mean, median, and standard deviation.
Lower Fence
A term used in descriptive statistics and boxplot construction, referring to a value below which lies an outlier in a dataset, typically calculated as Q1 - 1.5*IQR, where Q1 is the first quartile and IQR is the interquartile range.
Box And Whisker Plot
A graphical representation of data that displays the median, quartiles, and extremes, providing a visual summary of the distribution.
- Understand the construction and interpretation of box and whisker plots.
Verified Answer
Lower fence = Q1 - 1.5(IQR)
where Q1 is the first quartile and IQR is the interquartile range.
From the summary statistics provided, we can see that the first quartile (Q1) is 43.00 and the interquartile range (IQR) is 29.40 - 43.00 = 13.40.
Plugging these values into the formula gives:
Lower fence = 43.00 - 1.5(13.40) = -4.60
Therefore, the lower fence on the box and whisker plot is -4.60, which corresponds to choice B.
Learning Objectives
- Understand the construction and interpretation of box and whisker plots.
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