Julie conducts an experiment to find the average word length in a book for a 4th grader and a book for a 8th grader. She finds that for the fourth grade book the mean word length is 5 letters with a range of 6 and for the 8th grade book the mean word length is 6 letters with a range of 9. Which statement is true?
Responses
A The longest word in the 8th grade book contains 15 letters.The longest word in the 8th grade book contains 15 letters.
B The longest word in the book for the 4th grader is longer than that in the 8th grade book.The longest word in the book for the 4th grader is longer than that in the 8th grade book.
C The word length varies more in the 4th grade book than the 8th grade book.The word length varies more in the 4th grade book than the 8th grade book.
D On average, the book for the 8th grader has longer words.
D On average, the book for the 8th grader has longer words.
Whew !
Is there anything else I can assist you with?
To determine which statement is true, we need to analyze the information given for both the fourth grade book and the eighth grade book.
For the fourth grade book, we are told that the mean word length is 5 letters with a range of 6. The mean word length of 5 letters means that, on average, the words in the fourth grade book contain 5 letters. The range of 6 indicates that the longest word in the fourth grade book is 6 letters long.
For the eighth grade book, we are told that the mean word length is 6 letters with a range of 9. The mean word length of 6 letters means that, on average, the words in the eighth grade book contain 6 letters. The range of 9 indicates that the longest word in the eighth grade book is 9 letters long.
Now, let's evaluate each statement:
A) The statement says the longest word in the eighth grade book contains 15 letters. However, we know that the longest word in the eighth grade book is actually 9 letters long, based on the given information. Therefore, this statement is not true.
B) The statement says that the longest word in the book for the fourth grader is longer than that in the eighth grade book. We know that the longest word in the fourth grade book is 6 letters long, and the longest word in the eighth grade book is 9 letters long. Therefore, this statement is not true.
C) The statement says that the word length varies more in the fourth grade book than the eighth grade book. We can determine this by comparing the ranges of the two books. The range for the fourth grade book is 6, while the range for the eighth grade book is 9. Since the range for the eighth grade book is larger, it indicates that the word length varies more in the eighth grade book. Therefore, this statement is not true.
D) The statement says that, on average, the book for the eighth grader has longer words. The mean word length for the eighth grade book is 6 letters, while the mean word length for the fourth grade book is 5 letters. Since the mean for the eighth grade book is higher, it indicates that, on average, the words in the eighth grade book are longer. Therefore, this statement is true.
Therefore, the correct answer is D) On average, the book for the 8th grader has longer words.