Step 1: Calculate the mode of the given data
Arrange the given data either ascending or descending order
GIVEN: 3. 12, 11, 7, 5, 5, 6, 4, 10
Ascending order:
3, 4, 5, 5, 6, 7, 10, 11, 12
Count how many times each number appears.
3 - 1 time
12 - 1 times
11 - 1 time
7 - 1 time
5 - 2 time
10, 11, 12, - each 1 time
The number that appears most often is 5.
The mode of the numbers = 5
Step 2: Determine the median of the given data
3. 12, 11, 7, 5, 5, 6, 4, 1
Ascending order:
3, 4, 5, 5, 6, 7, 10, 11, 12
There are 9 observations
So, n = 9 odd
Median = \frac{n+1}{2} = \frac{9+1}{2} = 5^{th} term
Hence, Median = 6
Step 3: Find the mean of the given data
Mean = \frac{\text{ Sum of the variables}}{\text{Total number of variables}}
Sum of variables = 3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 1 = 63
Total number of variables = 9
Mean = \frac{63}{9}
Mean = 7
Hence, Mode is 5, median is 6 and mean is 7
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