Finding Mode for Grouped Frequency Distribution with Unequal Class Length

In summary, to find the mode for a grouped frequency distribution with unequal class length, you would need to calculate the median marks for each class interval and compare them to determine the interval with the highest median, which will be the mode.
  • #1
Suvadip
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How to find mode for grouped frequency distribution with unequal class length? I have to find the mode for the following problem:

Marks No of students

0-20 32
20-50 45
50-70 15
70-100 8For equal class length, we use the formula

\(\displaystyle Mode= l+\frac{f_0-f_{-1}}{2f_0-f_{-1}-f_{+1}}\)

But how to proceed for the above example?
 
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  • #2
In this case, you would need to calculate the median marks for each class interval, and then compare the medians to determine which interval has the largest number of students. The interval with the highest median will have the mode. For example, if we calculate the median marks for each interval, it would be:0-20: 1020-50: 3550-70: 6070-100: 85The interval with the highest median is 20-50, so the mode is 20-50.
 

Related to Finding Mode for Grouped Frequency Distribution with Unequal Class Length

1. What is mode for unequal class length?

Mode for unequal class length is a statistical measure used to determine the most frequently occurring value or class in a dataset where the classes have different lengths or intervals. It is a type of average that can be used to describe categorical data.

2. How is mode for unequal class length calculated?

The mode for unequal class length is calculated by finding the midpoint of each class and then counting the number of data points that fall within each class. The class with the highest frequency is considered the mode.

3. What is the difference between mode for unequal class length and mode for equal class length?

The mode for unequal class length takes into account the different lengths or intervals of the classes, while the mode for equal class length assumes that all classes have the same length or interval. This can result in different values for the mode in the two methods.

4. When is mode for unequal class length used?

Mode for unequal class length is commonly used when dealing with data that cannot be easily divided into equal intervals, such as age groups, income brackets, or test scores. It is also useful when comparing multiple datasets with different class lengths.

5. Can mode for unequal class length be affected by outliers?

Yes, mode for unequal class length can be affected by outliers, just like any other measure of central tendency. An outlier with a very high or low value can greatly influence the frequency of a particular class, potentially changing the mode.

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