Right Skewed Histogram
2026-02-28 17:28 Diff
https://brightchamps.com/en-us/math/data/right-skewed-histogram

Let us take the following example of a right skewed histogram to calculate the mean, median, and mode from the given dataset:

3, 3, 3, 6, 3, 9, 3, 3, 4, 8, 7, 6, 5, 4, 6, 7


Solution: 


Mean = 3 + 3 + 3 + 6 + 3 + 9 + 3 + 3 + 4 + 8 + 7 + 6 + 5 + 4 + 6 + 7 = 80

= \({80 \over 16}\) = 5.


Median: Arrange the data in ascending order:


3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 6, 7, 7, 8, 9.


Since there are 16 values, the 8th and 9th are the middle values; so the average is: \({{4 + 5} \over 2} = {9 \over 2} = 4.5\)

Mode: The mode is the most frequently occurring value. In the data set given above, the mode is 3 because 3 is the most frequently occurring value.

Verification: In a right-skewed histogram, the relationship between the mean, median, and mode follows this pattern: Mean > Median > Mode. In the above example, the mean = 5, median = 4.5 and mode = 3. Hence, this proves that the above data is a right skewed histogram.