Table 3 Descriptive statistics of the variables.

From: ANN trained by BBO for modeling of fly ash cementitious systems with high range water reducing admixtures

ID No.: variables

Category

Unit

Range

Mean

Standard deviation

Kurtosis

Skewness

X1: Cement

Input for Y1 & Y2

g

275–500

387.50

83.85

-1.36

0.00

X2: Fly ash

Input for Y1 & Y2

g

0–225

112.50

83.85

-1.36

0.00

X3: Molecular weight

Input for Y1 & Y2

kg/mol

23–71

46.44

14.35

-0.48

-0.26

X4: Main chain length

Input for Y1 & Y2

-

10–40

22.56

8.00

0.39

0.82

X5: Side chain length

Input for Y1 & Y2

g/mol

1000–3000

2222.22

695.67

-0.51

-0.89

X6: Curing time

Input for Y1

day

1–90

25.80

33.51

-0.15

1.24

X7: Flow time

Input for Y2

minute

0–60

30.00

21.21

-1.303

0.00

Y1: Compressive strength

Output of Y1

MPa

1.8–57.7

21.967

2.463

0.280

1.133

Y2: Flow value

Output of Y2

cm

18.3–28.5

21.968

2.607

-0.089

1.007