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Questions and Answers
What is the main purpose of a frequency distribution table?
What is the main purpose of a frequency distribution table?
What type of data is best suited for a grouped frequency table?
What type of data is best suited for a grouped frequency table?
What is the limitation of a grouped frequency table?
What is the limitation of a grouped frequency table?
What is a pictograph?
What is a pictograph?
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What is the formula to find the mean of a data set?
What is the formula to find the mean of a data set?
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What is the goal of this lesson?
What is the goal of this lesson?
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How do you find the median of a data set from a frequency table?
How do you find the median of a data set from a frequency table?
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What is the mode of a data set?
What is the mode of a data set?
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Why is the median easy to find in a frequency table?
Why is the median easy to find in a frequency table?
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What happens if there is no value that occurs more frequently than any other in a data set?
What happens if there is no value that occurs more frequently than any other in a data set?
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Study Notes
Understanding Raw Data
- Raw data is collected data that needs to be organized to understand its meaning.
- A frequency distribution is a graph or table used to arrange data in order and show how often each piece of data occurs within a sample.
Frequency Distribution Table
- A frequency distribution table can be used for categorical or numerical data.
- A grouped frequency table is useful for picturing larger amounts of data, but not ideal for finding the mean, median, and mode.
Example of a Frequency Distribution Table
- Example 1: Students studying - 20 students' hours spent studying for a test:
- Number of hours spent studying ranges from 0 to 5.
- Frequency distribution table shows each number of hours, tally, and frequency.
- Pictograph: a graphic or picture that represents the data.
Finding Averages from a Frequency Table
- Mean (arithmetic average): add up all data values and divide by the number of values.
- To find the mean from a frequency table:
- Multiply each category value by its frequency.
- Add the resulting products together.
- Divide by the number of values.
- Example: the mean of the students' hours spent studying is 2.85 hours.
Median from a Frequency Table
- Median: the middle data point.
- In a frequency distribution table, the data is already in order.
- To find the median:
- Count the data points to find the middle value(s).
- If there are two middle values, add them and divide by two.
- Example: the median number of hours spent studying is 3 hours.
Mode from a Frequency Table
- Mode: the value that occurs most frequently.
- To find the mode:
- Look for the value with the highest frequency in the table.
- Example: the mode of the students' hours spent studying is 4 hours.
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Description
Organizing raw data using frequency distribution tables to understand the frequency of each piece of data in a sample. Suitable for categorical data such as pets or blood types.
