To shout is to call or exclaim with the fullest volume of sustained voice; to scream is to utter a shriller cry; to shriek or to yell refers to that which is louder and wilder still.

J. C. Fernald, English Synonyms and Antonyms (1914)

Example sentences

cry The girl began to cry at the sight of the big dog.
scream She heard him scream, so she ran into his bedroom.
shout He ordered the boys not to shout in the classroom.

Popularity over time

Word	1850 → 2019	Trend
exclaim		rising
cry		rising
scream		rising
shout		rising

Use in printed books, per decade from 1850 to 2019.

By length

3 letters: cry¹
4 letters: call¹, yell¹, roar¹
5 letters: shout¹, hollo²
6 letters: scream¹, outcry², holler²
8 letters: proclaim²
9 letters: ejaculate⁴
10 letters: promulgate³, vociferate⁴

The small number after each word is its number of syllables (hollo² = 2 syllables).