What are the means medium mode range of the data set given to the altitude of the lake in feet
-9,-36,-23,-8,-17,-52,-27, and -36?
Mean =∑x/n
Median = middle most score
Mode = most frequent score
Range = highest score minus lowest
I'll let you do the calculations.
To find the mean, medium, and mode of the given data set, we can follow these steps:
Step 1: Arrange the data set in numerical order:
-52, -36, -36, -27, -23, -17, -9, -8
Step 2: Calculate the mean:
The mean is calculated by summing up all the values and dividing by the number of values.
Mean = (-52 + -36 + -36 + -27 + -23 + -17 + -9 + -8) / 8
Mean = -208 / 8
Mean = -26
Step 3: Calculate the median:
The median is the middle value when the data set is arranged in numerical order. If there is an even number of values, the median is the average of the two middle values.
Median = (-27 + -23) / 2
Median = -50 / 2
Median = -25
Step 4: Calculate the mode:
The mode is the value that appears most frequently in the data set.
In this case, there is no single mode since there are multiple repeating values (-36 appears twice).
Step 5: Calculate the range:
The range is the difference between the largest and smallest values in the data set.
Range = -52 - (-8)
Range = -52 + 8
Range = -44
So, in summary:
Mean = -26
Median = -25
Mode = -36 (repeated)
Range = -44
To find the mean, median, and mode of a data set, you can follow these steps:
1. Mean: To find the mean, you add up all the values in the data set and then divide that sum by the total number of values. In this case, the data set is:
-9, -36, -23, -8, -17, -52, -27, -36
Adding up all the values, we get:
-9 + (-36) + (-23) + (-8) + (-17) + (-52) + (-27) + (-36) = -208
Now, divide the sum by the number of values, which is 8 in this case:
-208 / 8 = -26
So, the mean of this data set is -26.
2. Median: To find the median, you need to arrange the values in ascending order first:
-52, -36, -36, -27, -23, -17, -9, -8
Since there are 8 values in the data set, the median will be the average of the middle two values. In this case, the middle two values are -27 and -23. So, the median is:
(-27 + -23) / 2 = -25 / 2 = -12.5
Therefore, the median of this data set is -12.5.
3. Mode: The mode is the value that appears most frequently in the data set. In this case, -36 occurs twice, which is more than any other value. So, the mode of this data set is -36.
In summary, for the given data set, the mean is -26, the median is -12.5, and the mode is -36.