Frequency Table and Distribution

Questions and Answers

To arrange the data in order and show how often each piece of data occurs (correct)

To compare the data with other similar data sets

To find the mean, median, and mode of data

To display the raw data in a graph or table

Only raw data

Both categorical and numerical data (correct)

Categorical data such as pets or blood types

Numerical data such as weights, IQ, or ages

It can't be used to find the mode of data

It can only be used for categorical data

We can't tell what the actual original raw data is (correct)

It can only be used for numerical data

A type of frequency distribution that uses a graphic or a picture to represent the data Signup and view all the answers

$\frac{\sum(x)}{n}$ Signup and view all the answers

To learn how to find the average of the set of data displayed within a frequency table Signup and view all the answers

Find the middle value by counting from the top of the table Signup and view all the answers

The value that occurs the most frequently Signup and view all the answers

Because the data is already in order Signup and view all the answers

There is no mode Signup and view all the answers

Study Notes

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.

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 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.

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: 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.