The stem-and-leaf plot below gives the amount of money spent by each of 15 couples at a restaurant. Use the plot to answer the questions that follow.

Question

Amount of money spent (in dollars)
3 | 0 1 4
4 | 0 3 5 8
5 | 0 0 1 5 5 6
6 | 1 0 6
Key: 3/0 means 30 dollars.
(a) How many couples spent an amount in the 30s?
(b) What was the least amount spent in the 50s?
(c) What was the greatest amount spent overall?

Answer 1

To analyze the stem-and-leaf plot provided, we will break down each question based on the details given.

Given Stem-and-Leaf Plot:

3 | 0 1 4   → Represents: 30, 31, 34
4 | 0 3 5 8  → Represents: 40, 43, 45, 48
5 | 0 0 1 5 5 6  → Represents: 50, 50, 51, 55, 55, 56
6 | 1 0 6  → Represents: 61, 60, 66

(a) How many couples spent an amount in the 30s?

From the plot, the values in the 30s are:

• 30
• 31
• 34

There are 3 couples that spent an amount in the 30s.

(b) What was the least amount spent in the 50s?

From the data in the 50s:

• 50 (two occurrences)
• 51
• 55 (two occurrences)
• 56

The least amount spent in the 50s is 50 dollars.

(c) What was the greatest amount spent overall?

Looking at the amounts in the plot, the highest value is:

• 66

Therefore, the greatest amount spent overall is 66 dollars.

Summary of Answers:

(a) 3 couples spent in the 30s.
(b) The least amount spent in the 50s was 50 dollars.
(c) The greatest amount spent overall was 66 dollars.