At right is a stem-and-leaf plot showing the weight of each book in Jenna's backpack, measured in ounces. For example, she has a journal that weighs 12 ounces and a history book that weighs 35 ounces. After third period, Jenna realized that she had left her science book (64 oz) and her paperback novel (11 oz) at home. Her mother agreed to bring them to her at lunch. Homework Help ✎
Think about how the addition of the two books will change the measures of central tendency of the weights of books in her backpack.
For each part below, choose the word or phrase (increase, decrease, or stay the same) that best describes the change and write the complete sentence. For each one, explain how you can tell without calculating.
The mean will ____.
The median will ____.
The mode will ____.
The range will ____.
Test your predictions by calculating the mean, median, mode, and range before and after the new books are added.
How does the mean of the new books compare to the mean of the original group?
You are adding one number to each end.
You are not making any numbers appear more often.
Your largest number is changing from 35 to 64.
Before: mean = 25, median = 26, mode = 35, range = 23.
Remember to calculate the central tendencies after the new books are added.