College

The following data set shows the pulse rates of some cattle at a farm:

[tex]\[ 65, 68, 69, 67, 69, 68, 65, 69, 65, 68, 67, 69, 68, 67, 67, 69 \][/tex]

Which line plot best represents the data?

Answer :

To represent the given data set on a line plot, we need to determine the frequency of each unique pulse rate. The data set of pulse rates from the cattle farm is:

65, 68, 69, 67, 69, 68, 65, 69, 65, 68, 67, 69, 68, 67, 67, 69

Let's count the occurrences of each pulse rate:

- Pulse rate 65:
- Appears 3 times

- Pulse rate 67:
- Appears 4 times

- Pulse rate 68:
- Appears 4 times

- Pulse rate 69:
- Appears 5 times

Now, we'll use these frequencies to help plot a line plot. A line plot displays data along a number line, using X's (or any other mark) to show how often each value occurs.

Here's an example of how we could represent this data on a line plot:

- For 65, we place 3 X's above the number 65.
- For 67, we place 4 X's above the number 67.
- For 68, we place 4 X's above the number 68.
- For 69, we place 5 X's above the number 69.

Here's a simplified depiction of how the line plot might look:

```
65: XXX
67: XXXX
68: XXXX
69: XXXXX
```

This line plot clearly shows the distribution of pulse rates among the cattle. It visually demonstrates that pulse rate 69 occurs most frequently in this data set.