Answer:The correct statement comparing modes to ranges is ''The modes differ by 40 and the range differs by 40'' is true.
Step-by-step explanation:The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.
Number of Pages Elias Read during the Summer,
Last summer: 140 220 190 180 190
This summer: 150 170 150 190 180
We have to determine,
Which statement comparing the modes to the ranges is true.
According to the question,
The mode of a data set is the value that occurs most often.
The data from last summer,
The value 190 is in the list twice, while all other values are only in once. This means 190 is the mode.
The data from this summer,
The value 150 is in the list twice, while all other values are only in once. This means 150 is the mode.
The difference in modes is 190 - 150 = 40.
The range is the difference between the maximum and minimum values in a data set.
The maximum value is 220 and the minimum value is 140,
Then,
Range = 220 - 140 = 80
The range for this summer's data,
The maximum is 190 and the minimum is 150;
Then,
Range = 190 - 150 = 40 for the range.
Therefore,
The difference in ranges is 80 - 40 = 40.
Hence, The modes differ by 40 and the range differs by 40
