how do you find the lower class limit,upper class limit, class width, class midpoint, and class boundaries from a set of frequencies data

Sort out the data in increasing order.

If there are n pieces of data, calculate nc=√n to be the number of classes. Round up to the next integer if necessary.

Find class width by dividing n by nc. Again round up to the next integer if necessary.

Start the first class with the smallest value (or smallest value -1) and increment each class start point by adding class width to the previous.

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To find the lower class limit, upper class limit, class width, class midpoint, and class boundaries from a set of frequency data, follow these steps:

Step 1: Organize the frequency data

Arrange the data in ascending order and create a frequency table. The frequency table should consist of two columns: one for the data values and one for their corresponding frequencies.

Step 2: Find the lower class limit

The lower class limit is the smallest value in each class interval. It can be found by looking at the lowest data value in your frequency table.

Step 3: Find the upper class limit

The upper class limit is the largest value in each class interval. It can be found by looking at the highest data value in your frequency table.

Step 4: Calculate the class width

The class width is the difference between consecutive lower class limits or upper class limits. It can be calculated by subtracting the lower class limit of the previous interval from the lower class limit of the current interval (or subtracting the upper class limit of the previous interval from the upper class limit of the current interval). Ensure that the class width is an equal range for all intervals.

Step 5: Determine the class midpoint

The class midpoint is the average value of a class interval. It can be calculated by adding the lower class limit to the upper class limit and dividing the sum by 2. The result is the midpoint for each interval.

Step 6: Find the class boundaries

The class boundaries are the values that separate the intervals. They are calculated by adding or subtracting half of the class width from the lower class limit or upper class limit of each interval. Class boundaries indicate that the data values on the boundaries belong to both adjacent intervals.

By following these steps, you will be able to find the lower class limit, upper class limit, class width, class midpoint, and class boundaries from a set of frequency data.

To find the lower class limit, upper class limit, class width, class midpoint, and class boundaries from a set of frequency data, you need to follow these steps:

Step 1: Determine the range of the data
To find the range, subtract the smallest value from the largest value in your dataset. This will give you the total range of the data.

Step 2: Decide on the number of classes
Based on your dataset and the desired level of detail, decide on the number of classes you want to represent. The number of classes can vary depending on the dataset and the purpose of your analysis. A common rule of thumb is to use between 5 and 20 classes.

Step 3: Calculate the class width
The class width represents the range covered by each class. To calculate the class width, divide the range of the data by the number of classes. Round up to the nearest whole number if necessary.

Step 4: Determine the lower class limit and upper class limit
The lower class limit of a class represents the smallest data value that falls within that class, while the upper class limit represents the largest data value. Start with the lowest value in your data as the lower class limit of the first class. To determine the upper class limit, add the class width to the lower class limit.

Step 5: Calculate the class midpoint
The class midpoint represents the average value of the upper and lower class limits. To calculate the class midpoint, sum the lower and upper class limits and divide by 2.

Step 6: Determine the class boundaries
The class boundaries define the true limits of each class and are used when dealing with continuous data. The lower class boundary is obtained by subtracting 0.5 from the lower class limit, while the upper class boundary is obtained by adding 0.5 to the upper class limit.

By following these steps, you can determine the lower class limit, upper class limit, class width, class midpoint, and class boundaries from a set of frequency data.