comparing the variance\ncompany a monthly sales\ncompany b monthly sales\nwhich data set, company a or…

comparing the variance\ncompany a monthly sales\ncompany b monthly sales\nwhich data set, company a or company b, has the larger variability? why?\ncompany a has greater variability because its iqr is larger than company b’s.\ncompany b has greater variability because its iqr is larger than company a’s.\ncompany a has equal variability compared to company b because both data sets have a 0.75 range in their iqrs.\nthe variability of the companies cannot be determined from box plots.

comparing the variance\ncompany a monthly sales\ncompany b monthly sales\nwhich data set, company a or company b, has the larger variability? why?\ncompany a has greater variability because its iqr is larger than company b’s.\ncompany b has greater variability because its iqr is larger than company a’s.\ncompany a has equal variability compared to company b because both data sets have a 0.75 range in their iqrs.\nthe variability of the companies cannot be determined from box plots.

Answer

Explanation:

Step1: Recall variability measure

Inter - quartile range (IQR) is a measure of variability. Larger IQR means more variability.

Step2: Analyze box - plots

By observing the box - plots, we can see the length of the box (which represents IQR). If the box of one data set is longer, its IQR is larger.

Step3: Compare IQRs

We need to visually compare the lengths of the boxes for Company A and Company B. If Company A's box is longer, its IQR is larger and it has more variability. If Company B's box is longer, its IQR is larger and it has more variability.

Answer:

We need to visually assess the lengths of the boxes (representing IQRs) in the box - plots. If Company A's box is longer, the answer is "Company A has greater variability because its IQR is larger than Company B’s." If Company B's box is longer, the answer is "Company B has greater variability because its IQR is larger than Company A’s." Without actually measuring the lengths of the boxes from the given image, we cannot definitively choose one of the multiple - choice options. But the correct way to answer is based on comparing the lengths of the IQRs (boxes) of the two box - plots.