Define data, explain the methods for calculating mean,median and mode of ungrouped data and give examples for each
Answers
Concept
In the search for knowledge, data is a collection of discrete informational units that, in their simplest forms, communicate quantity, quality, fact, statistics, or other fundamental meaning-conveying units. A datum is a single piece of data in a set.
Explanation
- To find mean of ungrouped data we will use following method:
First we will add up all the number given and then we will divide the addition of all number by the number of values
For example:
The mean of 4,5,2,1 is (4+5+2+1)/4 which will be 3
- To find mode of ungrouped data we will use following method:
Mode is most frequent number which repeating in a given data
For example:
In the data of 4,6,7,6,2,7,6,5 the most frequent number is 6 which is repeating three times
- To find median of ungrouped data we will use following method:
Arrange the given data in increasing or decreasing order and the number in middle of data will be the median and if there is two number in the middle take the mean of this two number
For example:
In the data 3,4,7,1,9 we will arrange in increasing order which will be 1,3,4,7,9 so the median will be 4 which is in middle.
Hence by using above method we can find the mean, median and mode of the ungrouped data.
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