Question

part b
what do the box plots tell you about the variability of the data?
choose the correct response.

plant b has a greater variability because its range and iqr are greater than plant a.
plant a has a greater variability because its range and iqr are greater than plant b.
plant b has a greater variability because its median and mean are greater than plant a.
plant a has a greater variability because its median and mean are greater than plant b.

Explanation:

Analyze measures of variability in box plots

$$ \text{Variability} \implies \text{Range and Interquartile Range (IQR)} $$

Evaluate the given options

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Determine the correct choice

$$ \text{Correct Option} = \text{Option 2 (Plant A has a greater variability because its range and IQR are greater than Plant B)} $$

Answer:

• Plant B has a greater variability because its range and IQR are greater than Plant A
• Plant A has a greater variability because its range and IQR are greater than Plant B (Correct answer)
• Plant B has a greater variability because its median and mean are greater than Plant A
• Plant A has a greater variability because its median and mean are greater than Plant B