Question

the stem-and-leaf plot below gives the amount of money spent by each of 18 couples at a restaurant. use the plot to answer the questions that follow.
amount of money spent (in dollars)
3 | 2 6
4 | 6 9 9
5 | 0 1 4 4 5 8 8
6 | 0 0 1 4 4
7 | 0 0 0 3 6
key: 3|2 means 32 dollars.
(a) what was the greatest amount spent in the 40s?
(b) how many couples spent an amount in the 50s?
(c) what was the least amount spent overall?

Explanation:

Part (a)

Step1: Identify stem for 40s

The stem for the 40s is 4. The leaves for stem 4 are 6, 9, 9.

Step2: Find greatest value

To find the greatest amount in the 40s, we combine the stem (4) with the largest leaf. The largest leaf for stem 4 is 9. So the amount is \( 4 \times 10 + 9 = 49 \) dollars.

Step1: Identify stem for 50s

The stem for the 50s is 5. The leaves for stem 5 are 0, 1, 4, 4, 5, 8.

Step2: Count the leaves

We count the number of leaves for stem 5. There are 6 leaves (0, 1, 4, 4, 5, 8). So 6 couples spent in the 50s.

Step1: Identify the smallest stem

The smallest stem in the stem - and - leaf plot is 3.

Step2: Find the smallest leaf for stem 3

The leaves for stem 3 are 2, 6. The smallest leaf is 2.

Step3: Calculate the least amount

We combine the stem (3) with the smallest leaf (2). So the amount is \( 3\times10 + 2=32 \) dollars.

Answer:

49 dollars

Part (b)