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Table 3 Random normal variate when \(\mu =[\mathrm{20,22}]\) and \(\sigma =[\mathrm{1,1.5}]\)

From: Simulating imprecise data: sine–cosine and convolution methods with neutrosophic normal distribution

Sr#

\({I}_{N}\)=0

\({I}_{N}\)=0.01

\({I}_{N}\)=0.02

\({I}_{N}\)=0.03

\({I}_{N}\)=0.05

\({I}_{N}\)=0.10

 

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

\({x}_{1N}\)

\({x}_{2N}\)

1

[19.6,21.5]

[20.8,23.2]

[20.4,22.6]

[21.6,24.4]

[21.2,23.8]

[21.7,24.6]

[18.6,19.8]

[20.9,23.1]

[18.9,20.8]

[18.6,19.66]

[18.6,19.66]

[21.5,23.64]

2

[21.6,24.4]

[18.3,19.5]

[20.4,22.6]

[19.7,21.6]

[21.9,24.8]

[20.2,22.3]

[20.9,23.2]

[20.9,23.4]

[18.9,20.2]

[20.9,23.11]

[20.9,23.11]

[21,23.34]

3

[21.3,24]

[22,24.9]

[19.3,20.9]

[20.3,22.5]

[19.1,20.8]

[18.8,20.1]

[20.2,22.2]

[22,25]

[19.8,21.7]

[20.6,22.71]

[20.6,22.71]

[20.4,22.19]

4

[20.3,22.5]

[20.7,23]

[20.6,22.8]

[20.4,22.6]

[18.4,19.7]

[19.9,21.8]

[18,19.1]

[19.7,21.2]

[20.8,23.1]

[20.1,22.21]

[20.1,22.21]

[19.6,21.24]

5

[19.2,20.8]

[21.1,23.7]

[20.3,22.4]

[20.8,23.2]

[19.8,21.9]

[18.3,19.5]

[19.8,22]

[18.8,20.2]

[19.2,20.7]

[20.9,23.18]

[20.9,23.18]

[20.3,21.95]

6

[20.1,22.2]

[20.9,23.4]

[19.5,21.2]

[21,23.5]

[17.6,18.4]

[20.7,22.9]

[18.8,20.2]

[19.9,21.7]

[19.6,21.4]

[20.5,22.65]

[20.5,22.65]

[20.7,23.26]

7

[20,22]

[21.8,24.8]

[19.5,21.4]

[18.1,19.1]

[19.3,21.1]

[19.2,20.7]

[19.6,21.5]

[19.7,21.6]

[20.1,22.5]

[19,20.67]

[19,20.67]

[21.2,24.25]

8

[18.1,19.2]

[20.4,22.6]

[20.1,22.2]

[20.6,22.8]

[20.8,23.3]

[19,20.6]

[21.3,24]

[20.3,22.5]

[20.8,23.1]

[21.2,23.74]

[21.2,23.74]

[20.8,22.86]

9

[18.3,19.4]

[19.5,21.2]

[18,19]

[19.2,20.7]

[18.4,19.6]

[20.8,23]

[20.6,22.9]

[20.6,22.9]

[20,21.9]

[21.1,23.55]

[21.1,23.55]

[18.8,20.49]

10

[19.6,21.4]

[18.9,20.3]

[20.7,23]

[20.3,22.5]

[18.6,19.9]

[20.5,22.6]

[20.6,22.9]

[21.7,24.6]

[20.9,23.5]

[19.2,21.29]

[19.2,21.29]

[19,21.38]

11

[19.8,21.8]

[20.7,23]

[20.3,22.4]

[20.6,22.9]

[20.2,22.4]

[19.5,21.3]

[19.8,22.1]

[18.4,19.7]

[20.9,23.9]

[18.3,19.87]

[18.3,19.87]

[20,21.98]

12

[20.7,23]

[19.2,20.8]

[19.7,21.5]

[22.4,25.6]

[19.9,21.8]

[20.5,22.7]

[20.5,22.7]

[20.2,22.2]

[20.3,22.8]

[18.9,20.52]

[18.9,20.52]

[20.3,22.87]

13

[20.5,22.7]

[19.1,20.6]

[20.7,23.2]

[18.9,20.5]

[19.4,21.2]

[18.9,20.3]

[21.2,23.7]

[22.5,25.8]

[19.7,21.5]

[20.5,22.54]

[20.5,22.54]

[18.4,20.06]

14

[20.9,23.4]

[20.8,23.2]

[20,22.1]

[18.7,20]

[20.7,23]

[20.1,22.1]

[19.1,20.5]

[20.8,23.1]

[20.3,22.6]

[19.4,21.37]

[19.4,21.37]

[19.3,22.54]

15

[18.4,19.6]

[19.6,21.4]

[20.4,22.7]

[18.7,20]

[21.7,24.8]

[18.6,20.2]

[19.7,21.9]

[18.8,20.2]

[21,23.4]

[21.1,23.66]

[21.1,23.66]

[18.9,20.86]

16

[19.1,20.7]

[19.4,21.1]

[20.5,22.8]

[19.1,20.8]

[21.2,23.9]

[20.2,22.3]

[18.1,19.2]

[19.8,21.5]

[18.4,19.7]

[19.8,21.3]

[19.8,21.3]

[21.4,24.01]

17

[19.8,21.7]

[20.7,23]

[19.9,21.9]

[20.5,22.7]

[18.3,19.6]

[19.3,20.8]

[21.5,24.1]

[21.6,24.4]

[20.3,22.3]

[20.9,23.3]

[20.9,23.3]

[17.4,17.72]

18

[21.2,23.8]

[20.5,22.7]

[21,23.4]

[21.5,24.3]

[20,22]

[20.7,23]

[22.9,26.4]

[20.6,23]

[20.3,23.2]

[17.9,19.08]

[17.9,19.08]

[19.3,20.33]

19

[19.6,21.4]

[19.8,21.6]

[20,22.1]

[18.5,19.8]

[20.3,22.5]

[20.4,22.5]

[18.4,19.7]

[19.7,21.3]

[19.4,21.3]

[19.7,21.51]

[19.7,21.51]

[21.8,24.55]

20

[20.5,22.7]

[20.1,22.2]

[20.6,22.9]

[20.3,22.5]

[20.1,22.1]

[20.6,22.8]

[18.3,19.9]

[17.5,18]

[18,19.1]

[20.3,22.07]

[20.3,22.07]

[20.9,24.49]

21

[18.7,20]

[19.6,21.4]

[19.8,21.8]

[19.1,20.7]

[19.2,20.7]

[21.8,24.6]

[21.7,24.5]

[21.4,24.1]

[18.7,20.4]

[19.2,20.5]

[19.2,20.5]

[20.5,22.57]

22

[20.2,22.3]

[19,20.5]

[20,22]

[20.9,23.4]

[20.3,22.7]

[18.7,20.1]

[18.8,20.2]

[20.6,22.8]

[19.2,20.4]

[22.5,25.57]

[22.5,25.57]

[20.1,21.85]

23

[20.9,23.4]

[20.4,22.6]

[20.1,22.1]

[21.2,23.8]

[19.1,20.7]

[20.1,22]

[19.4,21.6]

[17.6,18.4]

[21.4,24.1]

[21.3,24.05]

[21.3,24.05]

[20.8,24.23]

24

[18.3,19.5]

[19.9,21.8]

[21.9,24.9]

[18.3,19.6]

[22.4,25.6]

[20,22]

[19.8,21.7]

[20.5,22.6]

[21.2,23.8]

[20.7,23.12]

[20.7,23.12]

[19.9,22.55]

25

[21.5,24.2]

[20.1,22.1]

[20.4,22.6]

[19.4,21.1]

[19.2,20.9]

[20.2,22.2]

[18.4,19.5]

[20.5,22.5]

[20.5,23]

[19.1,20.98]

[19.1,20.98]

[21,23.38]