Brantley tracked his vacation expenses for the past five trips he took. He noticed that the range of his trip expenses was $ 1,200 The standard deviation of the expenses was $400 , and the IQR was $700 Based on these measures of spread, which of the following statements is true?
Answer
A
The majority of Brantley's trip expenses were less than 400 dollars. - no response given
B
The average amount Brantley spent on his trips was 1 dollars comma 200. - incorrect
C
The middle 50 percent of Brantley's trip expenses were all below 700 dollars. - no response given
D
Brantley's highest trip expense was 1 dollars comma 200 more than his lowest expense. - not selected, this is the correct answer
Explanation
The range is the difference between the highest and lowest expenses: highest minus lowest. Since the range was $1,200, Brantley’s highest trip expense was $1,200 more than his lowest. The IQR describes the spread of the middle 50% of expenses, and the standard deviation describes spread around the mean; neither tells us that the expenses were below a particular dollar amount.
AI-written and checked against the verified answer.