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 Β 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. Β 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. Β 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
