How to generate ramdom list with certain qualities (Numbers/integers, a certain mean, min, max)?

[PR11]

I need to create a data set of 100 numbers with a min of 0 an max of 10, a mean of 5 that is normally distributed.

Any help on this? Thank you so much!

Would be great if I could do the same thing with integers as well.

Thanks in advance.

[FJCC]

How closely do you want to match the mean of 5? Here is one way to get close but not exactly 5.

set.seed(1)
DAT <- rnorm(98, mean = 5, sd = 5/3)
range(DAT)
#> [1] 1.308834 9.002696
mean(DAT)
#> [1] 5.21406
DAT <- c(DAT, 0, 10)
range(DAT)
#> [1]  0 10
mean(DAT)
#> [1] 5.209779
qqnorm(DAT)

shapiro.test(DAT)
#> 
#>  Shapiro-Wilk normality test
#> 
#> data:  DAT
#> W = 0.98965, p-value = 0.6364

^{Created on 2021-02-24 by the reprex package (v0.3.0)}