**Comparing Team Scores: Analyzing Box Plots****Which are the better statistics to use to compare the team scores?**The image displays two box plots side by side, representing the scores of Team A and Team B. A box plot, also known as a whisker plot, is a graphical representation used to display the distribution of a dataset.### Team A's Scores:- The left edge of the box represents the first quartile (Q1), indicating the score below which 25% of the data falls.- The right edge of the box represents the third quartile (Q3), indicating the score below which 75% of the data falls.- The line inside the box represents the median (Q2).- The whiskers extend to the minimum and maximum scores within 1.5 times the interquartile range (IQR) from the quartiles.### Team B's Scores:- Similarly structured, with the box and whiskers indicating the distribution of scores.- The spacing and length of the box provide insight into the variability of the scores.### Observations:- The median score for Team B appears higher compared to Team A.- Team A shows a wider range of scores compared to Team B, indicating greater variability.- Team B's scores are more concentrated.Understanding the spread and central tendencies of these scores can help determine which team has a more consistent performance and which has higher individual achievements. Comparing medians, ranges, and interquartile ranges can provide a comprehensive understanding of their performances. The image presents a multiple-choice question with the following options:A. Median and standard deviationB. Mean and standard deviationC. Median and IQRD. Mean and IQRThere are no graphs or diagrams included in the image. Each option consists of a pair of statistical terms commonly used in data analysis.

The median is middle most value of the observations, above or below which 50% of the observations lie. The first quartile (Q1) is a value below which 25% of the observations lies and above which 75% of the observations lie. Similarly, the third quartile (Q3) is the value below which the 75% of the observations lie and above which the 25% of the observations lie. The interquartile range is the difference between the upper and lower quartiles. Mean is the expected or average value of the observations. The standard deviation is the standard distance of the observations differ from the mean.Standard deviation defines the spread of the distribution, where IQR is also used to check the variability of middle 50% of the observations of skewed distribution. Mean is highly influenced by the value of the observations, but not the position of the of the observations, whereas median depends on the extreme value and affected by the order or position of the observations. The scores for the Team A seem to be skewed. To compare skewed distribution median is can be used. Moreover, from the boxplot the quartiles and median can be easily obtained. Hence, the better statistics to use to compare the team scores are median and IQR. Correct option is C.