I was analysing a distribution. I have attached the link for the list.

https://drive.google.com/file/d/1o1Zr9bwy_wzrDAIdsxRVXxAPzRrblQOg/view?usp=sharing

This histogram of this distribution looks like this,

Now I was evaluating the skewness of the distribution. First I used the basic formula of skewness.

[ I don't know name of the formula. If someone can enlighten me that's a plus. :) ]

Code:

meanY = np.mean(yArr)
stdY = np.std(yArr)
s = 0
for yd in yArr:
    s += (yd-meanY)**3
print((s/(stdY**3))/len(yArr))

Output:

-0.6510082464944021

Then I used Pearson's formula for skewness ie.

Code:

meanY = np.mean(yArr)
medianY = np.median(yArr)
stdY = np.std(yArr)
3*(meanY-medianY)/stdY

Output:

0.34088557298815947

Now the first formula is saying the graph is right-skewed but the second formula is saying the graph is left-skewed. Why there is a conflict between the results of the two formulas?

Overall, I want to know why there is a difference in the report of both the formulas and the general conditions where Pearson's skewness formula will come at conflict with the traditional formula.

I was analysing a distribution. I have attached the link for the list.

https://drive.google.com/file/d/1o1Zr9bwy_wzrDAIdsxRVXxAPzRrblQOg/view?usp=sharing

This histogram of this distribution looks like this,

Now I was evaluating the skewness of the distribution. First I used the basic formula of skewness.

[ I don't know name of the formula. If someone can enlighten me that's a plus. :) ]

Code:

meanY = np.mean(yArr)
stdY = np.std(yArr)
s = 0
for yd in yArr:
    s += (yd-meanY)**3
print((s/(stdY**3))/len(yArr))

Output:

-0.6510082464944021

Then I used Pearson's formula for skewness ie.

Code:

meanY = np.mean(yArr)
medianY = np.median(yArr)
stdY = np.std(yArr)
print(3*(meanY-medianY)/stdY)

Output:

0.34088557298815947

Now the first formula is saying the graph is right-skewed but the second formula is saying the graph is left-skewed. Why there is a conflict between the results of the two formulas?

Overall, I want to know why there is a difference in the report of both the formulas and the general conditions where Pearson's skewness formula will come at conflict with the traditional formula.