A school choir has 60 members. 32 of the members are boys and the rest are girls. 19 of the boys sang in a concert. 6 girls sang in a concert and 22 did not. In the frequency tree, what are the values of G and H?

What the frequency tree is showing

A frequency tree splits the total number of choir members into groups (boys and girls), then splits each group again (sang or did not sing). Any missing value has to make the totals add up.

Finding the number of girls (G)

Total members: $60$

Boys: $32$

So girls are the rest:

$$G = 60 - 32 = 28$$

Filling the missing boys branch (H)

Boys total: $32$

Boys who sang: $19$

So boys who did not sing:

$$H = 32 - 19 = 13$$

Quick check with the girls data

Girls who sang: $6$

Girls who did not: $22$

$$6 + 22 = 28$$

This matches $G=28$, so the tree is consistent.