Hi guys! This is the 10th part of research methodology playlist,where I have discussed MEAN,MEDIAN and MODE and its types ,which is a part of ugc net unit-2 syllabus AND it will help you in your first paper also ,so watch full playlist.
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The mean, median, and mode are measures of central tendency used in statistics to describe the center of a data set.
1. Mean: The mean is the average of a set of numbers. It is calculated by summing all the values in the data set and dividing by the number of values.
\text{Mean} = \frac{\sum \text{values}}{\text{number of values}}
For example, for the data set [2, 3, 5, 7, 11] :
\text{Mean} = \frac{2 + 3 + 5 + 7 + 11}{5} = \frac{28}{5} = 5.6
2. Median: The median is the middle value of a data set when it is ordered from smallest to largest. If the data set has an odd number of values, the median is the middle one. If it has an even number of values, the median is the average of the two middle numbers.
For example, for the data set [2, 3, 5, 7, 11] :
\text{Median} = 5
For the data set [2, 3, 5, 7, 11, 13] :
\text{Median} = \frac{5 + 7}{2} = 6
3. Mode: The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all if no number repeats.
For example, for the data set [2, 3, 3, 5, 7, 11] :
\text{Mode} = 3
If the data set is [2, 2, 3, 3, 5, 7, 11] :
\text{Modes} = 2 \text{ and } 3 \, (\text{bimodal})
These measures provide different insights into the distribution and central tendency of the data.
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