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While many mathematics students are highly capable of solving problems in statistics and algebra, it gets strenuous when they have to balance their other academic tasks with such time-consuming assignments. One of these examples is creating a frequency distribution table or a grouped frequency distribution table
The word "frequency" indicates how many times something happens in a given duration of time. The frequency of observation determines how often the observation has presented itself in the data. For example, the number 9 has a frequency of 5 (since it appears five times) in the list of numbers mentioned below:
1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9, 9, 0, 6, 9
To understand the concept of frequency distribution, we must first comprehend the frequency distribution table definition.
Frequency Distribution Tables can display categorical (also known as qualitative) or quantitative (sometimes known as quantitative) variables (sometimes called numeric variables). Categorical variables are like categories (like shoe size or clothing brand), and quantitative variables are like numbers.
Steps for Constructing Frequency Distribution Table
When creating a frequency distribution table, tally marks are utilized generally. Let's assume you conduct a poll of some households to determine how many vehicles they possess. 3, 0, 1, 4, 4, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 3, 1, 2, 1, 1, 3, 1, 2, 1, 1, 3. Analysing that string of numbers is perplexing; a frequency distribution table can help you grasp the data.
To draw the frequency distribution table, first, enter each category per column
Categories, i.e., No. of Vehicles
Secondly, we must tally all the numbers in every category (in the mentioned results). For example, ‘zero’ shows up four times in this list, so we now add four tally marks accordingly - “||||”:
After that, calculate the sum of the tally marks after which we mention the frequency in the last column. Here, the frequency refers to the sum. Add 4 to the last column since you have four tally marks for "0":
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