How To Find Class Limits in Statistics?
Last Updated :
16 Apr, 2025
Answer: In statistics, class limits are the smallest and largest values that can belong to each class in a frequency distribution.
To find class limits, you first need to determine the range of your data set (the difference between the maximum and minimum values) and decide on the number of classes you want to have. The range divided by the number of classes gives you the class width (round up if necessary to make calculations easier).
The lower class limit of the first class is the smallest value in your data set, and the upper class limit is determined by adding the class width to the lower class limit, minus one if you're working with whole numbers.
For example, if your data range from 1 to 100 and you want 10 classes, your class width would be (100−1)/10 = 9.9, rounded up to 10 for simplicity. The first class would have lower and upper limits of 1 and 10, the second class 11 to 20, and so on.
Example Questions on Finding Class Limits in Statistics
1. How do you find class boundaries in statistics?
Class boundaries are found by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class limit of each class interval. This accounts for any gaps between intervals.
Example: For the class interval 10-19, the class boundaries would be 9.5 (lower boundary) and 19.5 (upper boundary).
2. How do you find the class width in a frequency distribution?
Class width is the difference between the upper limit and the lower limit of a class interval. Alternatively, it can be calculated by subtracting the lower limit of one class from the lower limit of the next class.
3.How do you construct a frequency distribution table?
Collect data and decide on the number of classes.
Determine the class width by dividing the range of data by the number of classes.
Set class intervals based on the class width.
Tally the data points in each class interval.
Record the frequency of each class.
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Conclusion
In conclusion, finding class limits involves determining the range and desired number of classes to calculate class width, then systematically applying these to set the boundaries for each class.
Finding class limits in statistics is a straightforward but essential step in organizing data for frequency distribution. By accurately determining the lower and upper class limits, you can ensure that data is grouped correctly, which is crucial for further statistical analysis, such as calculating measures of central tendency or creating histograms.