Identify the modal group or largest range for each grouped frequency table
Home / 8th grade / Statistics / Continuous data / Grouped frequency table: modal group, range
Continuous data can be represented in a "Grouped frequency table" where each class (group) covers the data points within a certain range, and the classes together cover the entire range of the data.
The benefit of grouped frequency tables becomes clear when there are so many raw data points that discrete values would become difficult to process. A limitation of continuous data is that individual data points are lost so that exact calculations of the mode or range of the original discrete data points becomes impossible. Instead techniques have been developed to approximate these values for continuous data.
Instead of a mode (the most frequent individual value in a data set), we can find the "modal group" which is the class of data that has the highest frequency. So if we have a grouped frequency table with classes 1-20, 21-40 and 41-60 that have frequencies of 12, 7 and 5 respectively, then the modal group is 1-20 because it has the highest frequency of 12.
Instead of an absolute value for the range of a data set, we can find the "largest range". This is the difference between the largest possible value in the biggest class and the smallest value in the smallest class. So if our grouped frequency table has classes 21-40, 41-60 and 61-80, then the largest range is 80 minus 21 which is 59.
In this topic you are asked to find either the modal group or the largest range for a series of grouped frequency tables. There are 8 question/answer pairs in the lessons, and an additional 8 question/answer pairs in all the games and tests.
Below is a table showing the first 8 question answer pairs for the topic "Grouped frequency table: modal group, range" as used in the lessons for this topic. Our games and tests for the topic use these 8 items plus 8 additional question answer pairs.
The topic "Grouped frequency table: modal group, range" is in the category Statistics for 8th grade (ages 13 to 14).
Home / 8th grade / Statistics / Continuous data / Grouped frequency table: modal group, range
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