Answered

1. Practice: Modeling: Dot Plots, Box Plots, and Histograms

Name: Angelica Najera
Algebra I Sem 2
Points Possible: 20
Date: [tex]$\qquad$[/tex]

Your Assignment: Furry Friends

Choosing a Group of Dogs

Josue and Sara both walk dogs during the week. They each walk 10 dogs in the morning and 10 other dogs in the afternoon. Select one of the groups to see how much the dogs in each group weigh. The heavier dogs usually have more energy and want to take longer walks than the smaller dogs.

\begin{tabular}{|c|c|}
\hline
Breed A & Breed B \\
\hline
Mean weight: 42 pounds & Mean weight: 30 pounds \\
\hline
\begin{tabular}{c}
Standard deviation: 2.4 pounds
\end{tabular} & \begin{tabular}{c}
Standard deviation: 4.8 pounds
\end{tabular} \\
\hline
\end{tabular}

1. Which dog-walker did you select? Circle one.
Josue
Sara

Comparing the Morning and Afternoon Groups

2. Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (4 points: 2 points for appropriate intervals, 2 points for correctly portraying data)



Answer :

GinnyAnswer
To address the task of comparing the morning and afternoon groups of dogs for the selected dog-walker, we need to create frequency tables grouping the weights into intervals that range 10 pounds each.

Given weights for the two groups of dogs are as follows:

Morning Weights:
42, 40, 45, 43, 41, 39, 38, 44, 46, 42

Afternoon Weights:
30, 32, 29, 31, 28, 33, 27, 34, 30, 26

### Step-by-Step Solution

Step 1: Define the Class Intervals

We will group the weights into intervals that range 10 pounds each. Here are the intervals:
- 0 to 10 pounds
- 10 to 20 pounds
- 20 to 30 pounds
- 30 to 40 pounds
- 40 to 50 pounds
- 50 to 60 pounds

Step 2: Count the Frequencies for Each Interval

#### Morning Dogs Frequency Table:
We will count how many dogs fall into each interval based on their weights in the morning.

- 0 to 10 pounds: 0 dogs
- 10 to 20 pounds: 0 dogs
- 20 to 30 pounds: 0 dogs
- 30 to 40 pounds: 2 dogs (39, 38)
- 40 to 50 pounds: 8 dogs (42, 40, 45, 43, 41, 44, 46, 42)
- 50 to 60 pounds: 0 dogs

So, the frequency table for the morning dogs looks like this:

| Weight Interval (lbs) | Frequency |
|-----------------------|-----------|
| 0 - 10 | 0 |
| 10 - 20 | 0 |
| 20 - 30 | 0 |
| 30 - 40 | 2 |
| 40 - 50 | 8 |
| 50 - 60 | 0 |

#### Afternoon Dogs Frequency Table:
Next, we count how many dogs fall into each interval based on their weights in the afternoon.

- 0 to 10 pounds: 0 dogs
- 10 to 20 pounds: 0 dogs
- 20 to 30 pounds: 4 dogs (29, 28, 27, 26)
- 30 to 40 pounds: 6 dogs (30, 32, 31, 33, 34, 30)
- 40 to 50 pounds: 0 dogs
- 50 to 60 pounds: 0 dogs

So, the frequency table for the afternoon dogs looks like this:

| Weight Interval (lbs) | Frequency |
|-----------------------|-----------|
| 0 - 10 | 0 |
| 10 - 20 | 0 |
| 20 - 30 | 4 |
| 30 - 40 | 6 |
| 40 - 50 | 0 |
| 50 - 60 | 0 |

### Conclusion

By organizing the data into these frequency tables, we can clearly see the distribution of dog weights for both the morning and afternoon groups. This helps us understand which intervals have the most dogs and potentially infer how the weight distribution might affect their energy levels and walking requirements.

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