Question

71, 59, 93, 69, 78, 50, 58, 75, 84, 63, 51, 55, 55, 66, 71, 87, 95, 81, 68, 55, 52, 65, 54, 50, 66, 59, 66, 71, 72
a) data were collected for ? select an answer variable(s).
is it appropriate to make a stem-and-leaf plot for this type of data and number of variables? ?.
b) complete the stem-and-leaf plot below.
you must put commas between the leaves.
stems leaves
5

Explanation:

Part (a)

Step 1: Determine Number of Variables

The data given is a single set of numerical values (like 71, 59, 93, etc.). So, we have 1 variable. Stem - and - leaf plots are appropriate for a single numerical variable (quantitative data) as they help in visualizing the distribution of a single set of data. So, the number of variables is 1, and it is appropriate to make a stem - and - leaf plot.

Part (b)

Step 1: Identify Data with Stem 5

We look at all the data points and find the ones where the tens digit (stem) is 5. The data points are 59, 50, 58, 51, 55, 55, 55, 52, 54, 50, 59. Now, we take the units digit (leaf) of each of these numbers. For 59, leaf is 9; for 50, leaf is 0; for 58, leaf is 8; for 51, leaf is 1; for 55, leaf is 5; for 55, leaf is 5; for 55, leaf is 5; for 52, leaf is 2; for 54, leaf is 4; for 50, leaf is 0; for 59, leaf is 9.

Step 2: Order the Leaves

We order the leaves in ascending order: 0, 0, 1, 2, 4, 5, 5, 5, 8, 9, 9.

Answer:

s:
a) Number of variables: 1; Appropriateness: Yes (It is appropriate to make a stem - and - leaf plot for 1 numerical variable as it helps in showing the distribution of the data).
b) For stem 5, the leaves are 0, 0, 1, 2, 4, 5, 5, 5, 8, 9, 9.