# What is a Frequency Distribution?

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Hey guys! It’s Chip, and I’m here to talk about frequency distributions and frequency tables! π

 Family ID Number of Pets Relative Frequency Percentage Percentiles 1 4 0.4 40% 100th 2 3 0.3 30% 60th 3 2 0.2 20% 30th 4 1 0.1 10% 10th 5 0 0 0% 0th

π Frequency Distribution: A frequency distribution is a way to show how often values occur in a dataset. It tells us the number of times each value appears and can help us identify any patterns or trends in the data.

• For example, if we look at the number of pets that people own, a frequency distribution could tell us how many people own one pet, two pets, three pets, and so on.

π Frequency Table: A frequency table is a way of organizing and summarizing data. It shows how many times each value appears in a dataset. The table is divided into categories, or intervals, that represent a range of values.

• For example, if we look at the height of a group of people, we could create a frequency table with intervals that represent different ranges of heights, such as 5 feet to 5 feet 2 inches, 5 feet 2 inches to 5 feet 4 inches, and so on.

So, how does a frequency table help us understand the data?

Well, a frequency table can help us see how common certain values are, which values are extreme, and what the range of values in a distribution is. We can also use a frequency table to explore percentiles, percentages (relative frequency), and the frequency distribution.

π Percentiles Percentiles: are a way to divide the data into 100 equal parts. They can help us to understand where a certain value falls in the distribution.

• For example, if we look at the score of a student on a test, we can use percentiles to see how their score compares to the scores of other students.

π Relative Frequency: Relative frequency is the percentage of times that a value appears in the dataset.

• For example, if we look at the frequency table for the number of pets that people own, we can calculate the relative frequency by dividing the frequency of each category by the total number of pets and multiplying by 100.

π Percentages: Percentages are another way to show the relative frequency of values in a dataset. They tell us what proportion of the data falls into each category.

• For example, if we look at the frequency table for the height of a group of people, we can calculate the percentage of people who fall into each interval by dividing the frequency of each interval by the total number of people and multiplying by 100.

So, in summary, a frequency distribution tells us how often values occur in a dataset, and a frequency table is a way of organizing and summarizing data. A frequency table can help us to understand how common certain values are, which values are extreme, and the range of values in a distribution. We can also use a frequency table to explore percentiles, percentages (relative frequency), and the frequency distribution.