Suppose you are given a bar chart showing the favorite colors of $100$ students, with the number of students for each color displayed. Which of the following values best represents the value of the statistic associated with the mode of this data set?

• A. $25$
• B. $10$
• C. $100$
• D. $45$

Answer: (D)

Verified step by step guidance

1. Understand that the mode of a data set is the value that appears most frequently. In this context, it refers to the color chosen by the greatest number of students.
2. Look at the bar chart and identify the bar with the highest height, which corresponds to the color with the largest number of students.
3. Note the number of students represented by this tallest bar. This number is the frequency of the mode.
4. Compare this frequency to the given options (25, 10, 100, 45) to determine which value best matches the mode's frequency.
5. Select the value that corresponds to the highest frequency from the bar chart, as this represents the mode of the data set.