what are the mean median mode and range of the data set give the altitude of lake in feet: -11 -28 -17 -25 -28 -39 -6 -46
Mean: -26.5
Median: -26.5
Mode: -28
Range: 40
To find the mean, median, mode, and range of the given dataset: -11, -28, -17, -25, -28, -39, -6, -46 (representing the altitude of a lake in feet), follow these steps:
Step 1: Sort the dataset in ascending order:
-46, -39, -28, -28, -25, -17, -11, -6
Step 2: Find the mean:
The mean is calculated by adding up all the values in the dataset, then dividing by the number of values.
-46 + (-39) + (-28) + (-28) + (-25) + (-17) + (-11) + (-6) = -210
-210 / 8 = -26.25
So, the mean altitude of the lake is -26.25 feet.
Step 3: Find the median:
The median is the middle value of the dataset when it is in order. If there are two middle numbers, average them.
Since there are 8 numbers in the dataset, the median would be the average of the 4th and 5th numbers.
Median = (-28 + (-25))/2 = -26.5
So, the median altitude of the lake is -26.5 feet.
Step 4: Find the mode:
The mode is the value(s) that occur(s) most frequently in the dataset.
In this case, there is no number that is repeated more than once, so there is no mode in this dataset.
Step 5: Find the range:
The range is the difference between the largest and smallest values in the dataset.
The largest value is -6 and the smallest value is -46.
Range = -6 - (-46) = 40
So, the range of altitudes for the lake is 40 feet.
To summarize:
Mean: -26.25 feet
Median: -26.5 feet
Mode: No mode
Range: 40 feet