Questions: Here is a data set: 43, 23, 38, 55, 32 54, 38, 37, 34, 48 23, 32, 45, 30, 21 38, 51, 22, 29, 35 36, 40, 31, 35, 36 20, 27, 30, 48, 20 Use the data to complete the last row of the stem-and-leaf plot below. Enter your answers as a list separated by commas. Stem Leaf 2 00123379 3 00122455667888 4 03588 5 Key: 2 5=25

Solution Steps

To complete the last row of the stem-and-leaf plot, we need to identify all the numbers in the data set that fall within the range of 50 to 59. These numbers will form the leaves for the stem '5'. We will then sort these numbers and format them as required.

First, we flatten the given data set to a single list of numbers: \[ \text{flattened\_data} = [43, 23, 38, 55, 32, 54, 38, 37, 34, 48, 23, 32, 45, 30, 21, 38, 51, 22, 29, 35, 36, 40, 31, 35, 36, 20, 27, 30, 48, 20] \]

Next, we filter the numbers that fall within the range \(50 \leq x < 60\): \[ \text{filtered\_data} = [55, 54, 51] \]

For each number in the filtered data, we extract the leaf value, which is the last digit of each number: \[ \text{leaves\_for\_5} = [5, 4, 1] \]

We then sort the leaf values in ascending order: \[ \text{sorted\_leaves\_for\_5} = [1, 4, 5] \]

Final Answer