What are the mean, median, mode, and range of the data set given the altitude of the lakes in feet:
-9,-36,-23,-8,-17,-52,-27, and -36?
Mean:
To get the mean, we add up all the values and divide by the number of values.
-9 + (-36) + (-23) + (-8) + (-17) + (-52) + (-27) + (-36) = -208
-208 ÷ 8 = -26
The mean altitude of the lakes is -26 feet.
Median:
To get the median, we need to find the middle value of the data set.
-52, -36, -36, -27, -23, -17, -9, -8
Since there are 8 values in the data set, the middle value will be the average of the 4th and 5th values:
(-27 - 23) ÷ 2 = -25
The median altitude of the lakes is -25 feet.
Mode:
To get the mode, we need to find the value that appears most frequently in the data set.
In this case, there is no mode since none of the values appear more than once.
Range:
To get the range, we subtract the smallest value from the largest value.
Largest value: -8
Smallest value: -52
Range = Largest value - Smallest value
Range = -8 - (-52)
Range = 44
The range of altitude for the lakes is 44 feet.