Question

question: 16 the daily high temperatures, in degrees fahrenheit (°f), of a town are recorded for one year. the median high temperature is 62°f. the interquartile range of high temperatures is 32. which statement is most likely true? approximately 25 percent - sign of the a. days had a high temperature less than 30°f. approximately 25 percent - sign of the b. days had a high temperature greater than 62°f. approximately 50 percent - sign of the c. days had a high temperature greater than 62°f. approximately 75 percent - sign of the d. days had a high temperature less than 94°f.

Explanation:

Step1: Recall median definition

The median divides a data - set into two equal parts. So, 50% of the data values are less than or equal to the median and 50% of the data values are greater than or equal to the median.

Step2: Analyze each option

• Option A: We have no information about the relationship between 30°F and the quartiles, so we cannot say this.
• Option B: Since the median is 62°F, approximately 50% of the days have a high temperature greater than or equal to 62°F, not 25%.
• Option C: By the definition of the median, approximately 50% of the days had a high temperature greater than 62°F. This is correct.
• Option D: We have no information about the relationship between 94°F and the quartiles, so we cannot say this.

Answer:

C. Approximately 50 percent of the days had a high temperature greater than 62°F.