What are the mean, median, mode, and range of the data set giving the altitude of lakes in feet.
-9, -36, -8, -17, -52, -27, and -36?
To find the mean, add up all the numbers and divide by the total number of values. In this case, there are 7 values.
Mean = (-9 + -36 + -8 + -17 + -52 + -27 + -36)/7 = (-185)/7 = -26.43 (rounded to 2 decimal places)
To find the median, arrange the values in ascending order and find the middle value. If there is an even number of values, take the average of the two middle values.
-52, -36, -36, -27, -17, -8, -9
The median is the middle value, which is -27.
To find the mode, identify the number that occurs most frequently in the data set.
-52, -36, -36, -27, -17, -9, -8
The mode is -36, as it occurs twice.
To find the range, subtract the smallest value from the largest value in the data set.
Range = (-8) - (-52) = -8 + 52 = 44
So, the mean is -26.43, the median is -27, the mode is -36, and the range is 44.