Question
Find the mean, median, mode(s), and range of the following data.
116, 130, 120, 125, 140, 125
- Mean: 120, median: 125, mode: 125, range: 24
- Mean: 126, median: 125, mode: 116, range: 24
- Mean: 126, median: 125, mode: 125, range: 24
- Mean: 126, median: 125, mode: 125, range: 25
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: 126, median: 125, mode: 125, range: 24
Arranging the data in the increasing order we get,
116, 120, 125, 125, 130, 140
Maximum value = 140 ,minimum value = 116
Range = maximum value - minimum value = 140 - 116 = 24.
Mean = 
Mode is 125 as it repeats a maximum number of times ( = 2).
The median of the data with 6 elements (6 is even) is the average of the 3rd and 4th elements.
Median = 
Therefore, The mean is 126, median: 125, mode: 125, Range: 24
Therefore, The mean is 126, median: 125, mode: 125, Range: 24
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