<p> BarSize(data,dt) </p>

a8cd9fe3-f8fc-4b2c-aef5-ca45db39c630 28 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Skewness/Kurtosis of a vector

Y 0.43 0.22 0.26 0.48 0.49 0.01 0.40 0.30 0.14 0.23 0.24 0.58 0.33 0.11 0.03 0.34 0.15 0.36 181 mat :

Y skewness i 1 Y rows range U i el Y i el Y Mean - (3^: U U sum : 21 line for Y rows U * Y rows 1 - (Y rows 2 - (* Y StdDev (3^* / 21 line :

Y kurtosis i 1 Y rows range V i el Y i el Y Mean - (4^: V V sum : 21 line for Y rows Y rows 1 + (* V * Y rows 1 - (Y rows 2 - (* Y rows 3 - (* Y StdDev (4^* / 3 Y rows 1 - (2^* Y rows 2 - (Y rows 3 - (* / - 21 line :

sanity Mathcad Y skewness Y kurtosis 21 mat 0.0053 0.618 - 21 mat

Y kurtosis 0.61799 -

Y Skewness 0.0048

OriginLab 7.5 = -0.61799

Y StdDev 0.1595

Y Kurtosis Y KurtosisExcess 21 mat 2.225 0.775 - 21 mat

2.225 3 - 0.775 -

Mathcad Applied Statistics

Data set 'Y' is an hypothetical representation of photosynthetic efficiency measurements from a study of light absorption in aquatic plants.

Y frq_dist 0.01 0.105 2 0.105 0.2 3 0.2 0.295 4 0.295 0.39 4 0.39 0.485 3 0.485 0.58 263 mat :

Y midpts Y frq_dist 1 col 0.5 Y frq_dist 2 col Y frq_dist 1 col - (* + :

Y midpts 0.0575 0.1525 0.2475 0.3425 0.4375 0.5325 61 mat

i 1 Y midpts rows range :

hist i Y frq_dist 3 col augment :

<p> BarSize(data,dt) </p>

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

Hist hist 0.5 BarSize :

Hist

A normal distribution has kurtosis value of zero. A negative value of kurtosis indicates that the distribution's tail is heavier than that of the normal. Values for population kurtosis can lie anywhere between -2 and infinity, inclusively. Distributions with heavy tails are called "platykurtic". A positive value of kurtosis indicates that the distribution's tail is heavier than that of the normal. Distributions with thin tails are termed "leptokurtic.