Question

the box plot compares martas and anis diving scores in the first several meets of the season. diving scores (out of a possible 10) based on the data in the box plots, what is the best evidence to show which diver had greater overall success during the meets so far this season? ani was more successful because she had an outlier. marta was more successful because she received the highest score. ani was more successful because she had the greater measure of center. marta was more successful because she had the greater total spread.

Explanation:

Step1: Analyze the concept of measure of center

The measure of center (median) in a box - plot gives an indication of the typical value. A higher median implies greater overall success on average.

Step2: Analyze each option

• Option 1: Having an outlier does not necessarily mean greater overall success. An outlier is just an extreme value and does not represent the overall performance.
• Option 2: The highest score (maximum value) is just one data point. It does not give a picture of the overall performance.
• Option 3: If Ani has a greater measure of center (higher median), it means that on average, her scores are higher. This is a good measure of overall success.
• Option 4: The total spread (range) measures the variability of the data. A greater spread does not imply greater overall success.

Answer:

Ani was more successful because she had the greater measure of center.