If Kolmogrove Smirnove test and Skewness kurtosis Z value give opposite result then would data be called normally distributed?

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Manfred Borovcnik

I suggest to apply a Shapiro-Wilks test. You might also cross-check the skewness and kurtosis with the Jarque-Bera test.

Raid Amin

I would consider transforming the raw data to normal quantiles.

Yes, a histogram and a quantile plot are fine. Yet, they are qualitative.

The Shapiro-Wilks is based on the quantile plot; it is one way to quantify the visible differences in this plot.