Frequency Table
Definition
A frequency table is a tabular representation that displays the number of times each value or category occurs in a dataset. It organizes data into groups or intervals and shows their corresponding frequencies.
Analogy
Imagine you are organizing a music playlist for a party, and you want to see which songs appear most frequently. The frequency table is like listing all the songs and counting how many times each song appears, so you know which ones are played the most.
Related terms
Histograms: Histograms are graphical representations of data distribution using bars. They display continuous data grouped into intervals on the x-axis and their corresponding frequencies on the y-axis.
Relative Frequency: Relative frequency refers to the proportion or percentage of times an event occurs compared to the total number of observations. In a frequency table, relative frequencies can be calculated by dividing each frequency by the total number of observations.
Mode: In statistics, mode represents the value(s) that occur with the highest frequency in a dataset. In a frequency table, it is easy to identify modes as they correspond to values with maximum frequencies.
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Practice Questions (9)
What is a frequency table used for?
A frequency table for qualitative data lists all categories in one column and the number of elements that belong to each of the categories on the next column.
What is the difference between a frequency table and a relative frequency table?
Which type of variable can be represented by a frequency table?
When creating a frequency table, what is listed in one column?
In a frequency table, which column represents the number of elements that belong to each category?
Records are kept by each state in the United States on the number of pupils enrolled in public schools and the number of teachers employed by public schools for each school year. From these records, the ratio of the number of pupils to the number of teachers (P-T ratio) can be calculated for each state. The histograms displayed through frequency tables below show the P-T ratio for every state during the 2001–2002 school year. Histogram for states west of the Mississippi River (frequency table): P-T Ratio Frequency 10-12 3 12-14 4 14-16 5 16-18 6 18-20 3 20-22 3 Histogram for states east of the Mississippi River (frequency table): P-T Ratio Frequency 10-12 2 12-14 4 14-16 6 16-18 7 18-20 5 20-22 2 Based on the histograms, which of the following statements is correct?
The frequency table below shows the number of hours spent studying for two groups of students, Group X and Group Y, over a one-week period. Frequency table for Group X: Study Hours Frequency 0-2 5 2-4 8 4-6 10 6-8 7 8-10 3 Frequency table for Group Y: Study Hours Frequency 0-2 3 2-4 5 4-6 9 6-8 11 8-10 6 Based on the frequency tables, which of the following statements is correct?
The frequency table below shows the number of books read by two groups of students, Group S and Group T, over a summer break. Frequency table for Group S: Books Read Frequency 0-2 6 3-5 9 6-8 12 9-11 5 12-14 3 Frequency table for Group T: Books Read Frequency 0-2 5 3-5 7 6-8 10 9-11 8 12-14 4 Based on the frequency tables, which of the following statements is correct?
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