Question

here are two box plots: 95 100 105 110 115 box plot a 95 100 105 110 115 box plot b 1. which box plot has a greater median? 2. which box plot has a greater measure of variability? box plot a box plot b

Explanation:

Step1: Locate medians on box - plots

The median is the line inside the box. In box - plot A, the median is at 105. In box - plot B, the median is also at 105.

Step2: Measure variability

Variability can be measured by the inter - quartile range (IQR) or the range. The range is the difference between the maximum and minimum values. For box - plot A, the range is approximately \(115 - 95=20\). For box - plot B, the range is approximately \(110 - 95 = 15\). Since \(20>15\), box - plot A has a greater measure of variability.

Answer:

1. Neither. Both box - plot A and box - plot B have the same median (105).
2. Box Plot A