Question

The stem-and-leaf plot shows the ages of a group of friends. Find the median age.

Stem Leaf
2 8
3 1 2 4
4 2 7 9
5 4
Key: 2|8=28
years

(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the median age, we need to first list all the ages in ascending order.

Ages: 24, 27, 28, 29, 31, 32, 34, 44

Since there are 8 ages listed, the median will be the average of the 4th and 5th age when listed in ascending order.

Median age = (29 + 31) / 2 = 30

Therefore, the median age of the group of friends is 30.

Answer 2

A board 5 feet long is cut into two pieces such that the length of one piece is two thirds of the length of the other piece. Find the length of the shorter piece of the board.

Answer 3

[AI-generated answer — Bot GPT 3.5]

Let x be the length of the longer piece, and since the length of the shorter piece is two thirds of the longer piece, the length of the shorter piece is (2/3)x.

Since the total length of the board is 5 feet, we have:

x + (2/3)x = 5

Combining like terms, we get:

(5/3)x = 5

Multiplying both sides by 3/5 gives us:

x = 5 * 3/5
x = 3

So, the longer piece of the board is 3 feet long, and the shorter piece is 2/3 * 3 = 2 feet long.

Therefore, the length of the shorter piece of the board is 2 feet.