Range
The range is the difference between the highest and lowest values in a dataset. To find the range for the given data set {17, 13, 21, 19, 13, 13, 11, 14}, we first need to arrange the numbers in ascending order.
Arranging the numbers in ascending order: 11, 13, 13, 13, 14, 17, 19, 21
Highest value = 21
Lowest value = 11
Range = Highest value - Lowest value
Range = 21 - 11
Range = 10
Mean
The mean is the average of a set of numbers. To find the mean for the given data set, we add up all the numbers and then divide by the total count of numbers.
Mean = (17 + 13 + 21 + 19 + 13 + 13 + 11 + 14) / 8
Mean = 121 / 8
Mean = 15.125
Median
The median is the middle value of a dataset when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.
Arranging the numbers in ascending order: 11, 13, 13, 13, 14, 17, 19, 21
Since there are 8 numbers, the median will be the average of the 4th and 5th numbers.
Median = (13 + 14) / 2
Median = 13.5
Mode
The mode is the number that appears most frequently in a dataset. In the given data set {17, 13, 21, 19, 13, 13, 11, 14}, the mode is 13 as it appears three times, which is more frequent than any other number in the dataset.