parent population (mu = 1.93, sigma = 1.82)

distribution of sample means (0 samples drawn)

indigo curve = the CLT's prediction N(mu, sigma/sqrt(n))

Draw one sample: 10 values will fall on the right-skewed population above, and their single mean drops into the empty plot below. The story is what thousands of those means pile up into.

Try to: shrink the predicted SE below 0.4 make 2,000+ skewed samples come out normal pile up 5,000 means

Sampling distribution and CLT visualizer · free from StatsLearn