### Basketball Scores ComparisonThis image presents box plots comparing the basketball scores for two teams: the Bulldogs and the Wolverines.#### Box Plot Explanation- **Bulldogs:** - Minimum score: 55 - First quartile (Q1): 70 - Median (Q2): 80 - Third quartile (Q3): 90 - Maximum score: 105- **Wolverines:** - Minimum score: 35 - First quartile (Q1): 55 - Median (Q2): 80 - Third quartile (Q3): 85 - Maximum score: 95The box plots have a horizontal axis labeled "Basketball scores," ranging from 30 to 110. Each plot shows:- A line extending from the minimum to the maximum values- A box spanning from the first quartile to the third quartile- A line within the box representing the median.#### Analysis QuestionBelow the box plots is a question: **"Which statement is the most appropriate comparison of the spreads?"**This invites analysis of the variability and distribution range between the two teams' scores. The Bulldogs have a wider spread of scores, while the Wolverines' scores are more concentrated. **Transcription for Educational Website: Data Analysis Practice**This section presents a multiple-choice question designed to test your understanding of statistical concepts like median, interquartile range, and range.---**Options:**- **A.** The median for the Bulldogs, 80, is the same as the median for the Wolverines, 80.- **B.** The interquartile ranges (IQRs) for the Bulldogs and Wolverines are both 80.- **C.** The interquartile range (IQR) for the Bulldogs, 20, is less than the IQR for the Wolverines, 30.- **D.** The range for the Bulldogs, 20, is less than the range for the Wolverines, 30. ---**Instructions:** Analyze each statement carefully, using your knowledge of the measures of central tendency and spread, to determine which statement accurately represents the data between the Bulldogs and Wolverines.

The median is middle 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. Median of a data set is the middle most value of the observations. The interquartile range is the difference between the upper and lower quartiles. In a boxplot, the lowest value of the box is first quartile, and the highest value of the box is third quartile, while the line in the box is defined as median. The minimum and maximum observations are the whisker on the either side. In case of presence of outliers, the outliers are defined as discrete points and after ignoring the outliers, the whiskers extend to the minimum and maximum values. Bulldogs: From the boxplot, the minimum observation is the whisker on the left side, that is, 55. From the boxplot, the maximum observation is the whisker on the right side, that is, 105. Thus, the range is, Maximum observation – Minimum observation = 105 – 55 = 50. The line in the box is corresponding to 80, which is the median. The lowest value of the box is 70, which is the 1st quartile. The highest value of the box is 90, which is the 3rd quartile. Hence, the interquartile range is 3rd quartile – 1st quartile = 90 – 70 = 20. Wolverines: From the boxplot, the minimum observation is the whisker on the left side, that is, 35. From the boxplot, the maximum observation is the whisker on the right side, that is, 96. Thus, the range is, Maximum observation – Minimum observation = 96 – 35 = 61. The line in the box is corresponding to 80, which is the median. The lowest value of the box is 55, which is the 1st quartile. The highest value of the box is 85, which is the 3rd quartile. Hence, the interquartile range is 3rd quartile – 1st quartile = 85 – 55 = 30. It is known that median is measure of central tendency and IQR is measure of spreads. Hence, the IQR of the Bulldogs is 20 is less than the IQR for the Wolverine, 30. Correct option is C.