Question

and-leaf plot showing the number of pairs of glasses at each of the stores:
0 | 9
1 | 3 6 6 8
2 | 1 2 3 5 6 9
3 | 0
4 | 1 2 3 3 5 7
key: 4 | 1 = 41 pairs of glasses
how many department stores have fewer than 38 pairs of glasses?
department stores

Explanation:

Step1: Analyze each row

• For the row with stem 0: The leaf is 9, so the number is 09 = 9 (fewer than 38). Count = 1.
• For the row with stem 1: Leaves are 3, 6, 6, 8. Numbers are 13, 16, 16, 18 (all fewer than 38). Count = 4. Total so far: 1 + 4 = 5.
• For the row with stem 2: Leaves are 1, 2, 3, 5, 6, 9. Numbers are 21, 22, 23, 25, 26, 29 (all fewer than 38). Count = 6. Total so far: 5 + 6 = 11.
• For the row with stem 3: Leaf is 0. Number is 30 (fewer than 38). Count = 1. Total so far: 11 + 1 = 12.
• For the row with stem 4: We need numbers fewer than 38, but stem 4 numbers are 41, 42, 43, 43, 45, 47 (all ≥ 38), so count = 0.

Step2: Sum the counts

Sum the counts from each stem: 1 (stem 0) + 4 (stem 1) + 6 (stem 2) + 1 (stem 3) + 0 (stem 4) = 12.

Answer:

12