Question

1161, 1162, 1169, 1267, 1450, 1352, 1355, 1555, 1442, 1448, 1545, 1478

1573, 1373


The digit in the hundreds place is the best stem value for the set of data shown above


O A. True

OB. False

Answer 1

The digit in the hundreds place is the best stem value for the set of data shown above.

This statement is false.

To determine the best stem value for a dataset, we want to choose a value that will allow us to create a stem-and-leaf plot that is easy to read and provides useful information about the distribution of the data.

In this case, we can see that the hundreds digits of the given numbers range from 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, 1 to 1, and 1 to 1.

Since all the hundreds digits are the same, there is no advantage to using any one of them as the stem value. Instead, we might choose a stem value that allows us to create a stem-and-leaf plot with a reasonable number of leaves per stem.

For example, we could use a stem value of 11 and create the following stem-and-leaf plot:

```
Stem-and-leaf plot for given data:

11 | 61 62 69 67
12 | 67
13 | 52 55 73
14 | 50 42 48 45 78
15 | 55 73
```

This plot allows us to see that the data are roughly symmetric, with a few outliers on either side of the center.

Answer 2

Explanation:

The statement is false.

The statement is false because the stem-and-leaf plot is a graphical representation of data that allows us to organize and display numerical values. It shows the distribution of data by separating each data point into a stem (typically the tens or hundreds place) and a leaf (the ones place). In the given list of numbers, the hundreds place digit does not provide any meaningful stem value for organizing the data. Therefore, the statement that the digit in the hundreds place is the best stem value is incorrect.