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Grouped frequency table: modal group, range
for 8th grade

Identify the modal group or largest range for each grouped frequency table

Grouped frequency tables: modal group, largest 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).

1 / 8
The modal group for this data set is 1-20
FrequencyTickets sold per dayTickets1-2021-4041-6061-8081-100127521
1-20
2 / 8
The largest possible range for this data set is 49
FrequencyHeight of building (m)Metres1-1011-2021-3031-4041-5012014931
49
3 / 8
The modal group for this data set is 101-150
FrequencyTinned goods purchasedTins1-5051-100101-150151-200201-2503357632411
101-150
4 / 8
The largest possible range for this data set is 24
FrequencyBooks read per weekBooks1-56-1011-1516-2021-2596431
24
5 / 8
The modal group for this data set is 21-30
FrequencyBooks read per yearBooks1-1011-2021-3031-4041-5072226145
21-30
6 / 8
The largest possible range for this data set is 249
FrequencyTinned goods purchasedTins1-5051-100101-150151-200201-2503357632411
249
7 / 8
The modal group for this data set is 81-120
FrequencyTickets sold per dayTickets1-4041-8081-120121-160161-200103251367305171
81-120
8 / 8
The largest possible range for this data set is 499
FrequencyGoods purchased per dayGoods1-100101-200201-300301-400401-500592683521461192
499

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Each of our math topics for secondary are made up of between 6 and 20 question and answer pairs (both the written form and a robot voice speaking those questions and answers). Each topic can be used with all the activities on the site.


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