7 = average of 6 and 8
6 7 8 8 8 10 11 11 11 12 13 minimum-6 median-10 range-13-6=7 modes-8,11
8. In order: 4, 6, 7, 9, 10, 12 6 data items so median is mean of middle two: median = (7+9)/2 = 8.
Sample size: 12 Sorted sample: 3, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 10 Middle numbers: 7, 8 Average of middle numbers, known as median: 7.5
Mean: 9 Median: 8.5 Mode: 14, 6, 8, 10, 9, 5, 7, 13
8.
7 = average of 6 and 8
6 7 8 8 8 10 11 11 11 12 13 minimum-6 median-10 range-13-6=7 modes-8,11
8. In order: 4, 6, 7, 9, 10, 12 6 data items so median is mean of middle two: median = (7+9)/2 = 8.
median = 8 mean = 7 mean < median.
Sample size: 12 Sorted sample: 3, 5, 6, 6, 7, 7, 8, 9, 9, 9, 10, 10 Middle numbers: 7, 8 Average of middle numbers, known as median: 7.5
Mean: 9 Median: 8.5 Mode: 14, 6, 8, 10, 9, 5, 7, 13
The median of a set of numbers is the middle one (if there are an odd number of them) or the mean average of the middle two (if there are an even number of them). The dataset {4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 8, 9, 10, 11} has 14 elements, so the median is the mean average of the 7th and 8th numbers. The 7th and 8th numbers are 7 and 7, thus the median is (7 + 7) / 2 = 7.
7.5
The median is 7.5
There are 6 numbers, so the median is the mean of the middle two: (7 + 8) ÷ 2 = 7.5
The median is the middle number when they are in order, so that is 8.