The stem-and-leaf plot below gives the amount of money spent by each of 17 couples at a restaurant. Use the plot to answer the questions that follow.

Question

Amount of money spent (in dollars)
3 | 7
4 | 2 3 7
5 | 0 0 1 3 6 8 8
6 | 1 5 6 7
7 | 3 9
Key: 3|7 means 37 dollars.
(a) What was the least amount spent in the 60s?
(b) How many couples spent an amount in the 30s?
(c) What was the greatest amount spent overall?

Answer 1

Let's analyze the stem-and-leaf plot provided:

• The amounts in the 30s are listed under the stem "3":

  • 3 | 7 → $37

• The amounts in the 40s are listed under the stem "4":

  • 4 | 2 3 7 → $42, $43, $47

• The amounts in the 50s are listed under the stem "5":

  • 5 | 0 0 1 3 6 8 8 → $50, $50, $51, $53, $56, $58, $58

• The amounts in the 60s are listed under the stem "6":

  • 6 | 1 5 6 7 → $61, $65, $66, $67

• The amounts in the 70s are listed under the stem "7":

  • 7 | 3 9 → $73, $79

Now, let's answer the questions:

(a) What was the least amount spent in the 60s?

• From the 60s amounts, the values are $61, $65, $66, and $67. The least amount is $61.

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

• From the 30s amounts, we have $37. There is only 1 couple that spent in the 30s.

(c) What was the greatest amount spent overall?

• The greatest amount listed is from the 70s, being $73 and $79. The greatest amount is $79.

To summarize: (a) $61
(b) 1 couple
(c) $79