Question
Find the mean, median, mode(s), and range of the following data.
14, 9, 20, 5, 17, 13
- Mean: 13, median: 13.5, mode: 14, range: 15
- Mean: 13, median: 13, mode: no mode, range: 15
- Mean: 14, median: 13.5, mode: no mode, range: 15
- Mean: 13, median: 13.5, mode: no mode, range: 15
Hint:
Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
The median is the middle number in a sorted, ascending or descending list of numbers.
The mode is the value that appears most frequently in a data set.
Range = maximum value - minimum value .
The correct answer is: Mean: 13, median: 13.5, mode: no mode, range: 15
Arranging the data in the increasing order we get,
5, 9, 13, 14, 17, 20
14, 9, 20, 5, 17, 13
Maximum value = 20 ,minimum value = 5
Range = maximum value - minimum value = 20 - 5 = 15.
Mean = 
No Mode as all elements occurred once.
The median of the data with 6 elements (i.e even) is the average of the 3rd and 4th elements.
Median = 
The mean is 13, median: 13.5, mode: no mode, range: 15
The mean is 13, median: 13.5, mode: no mode, range: 15
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