Looking at the data below, find the mean, median, mode, and range.
20, 25, 24, 17, 21, 19, 21, 27
Which mode of central tendency gives you the greatest value?
Mean: (20+25+24+17+21+19+21+27)/8 = 21.75
To find the median, we first need to put the numbers in order: 17, 19, 20, 21, 21, 24, 25, 27. The median is the middle number, which in this case is 21.
The mode is the most frequently occurring number, which in this case is 21.
To find the range, we subtract the smallest number (17) from the largest number (27): 27-17 = 10.
The mode of central tendency that gives the greatest value depends on how you define "greatest value." If you mean the value that occurs most frequently, then the mode of 21 gives the greatest value. If you mean the value that represents the "average" or "typical" value, then the mean of 21.75 gives the greatest value.