#AP Statistics: Comparing Groups - Your Ultimate Study Guide 🚀

Hey there, future AP Stats superstar! Let's get you prepped and confident for your exam. This guide is designed to be your go-to resource, especially the night before the big day. We'll break down comparing groups using different graphical methods and make sure you're ready for anything the exam throws at you. Let's dive in!

#Comparing Distributions

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Remember, we're not just looking at data; we're telling a story with it. Comparing groups involves looking at how different sets of data are distributed and using that to draw conclusions. We'll use stem-and-leaf plots, histograms, and box plots to do this. Let's get started!

#Comparing Groups with Stem-and-Leaf Plots

#Warm-Up: Stem Plot Comparison 🌳

Let's start with a quick warm-up using stem-and-leaf plots. These are great for visualizing the distribution of small datasets.

Question: The weight of two groups of eight animals, Group M and Group N, are recorded and the data is shown in the stem plots below (with each stem and leaf representing weight in kg). Use the stem plots to compare the weight of the animals in the two groups.

Group M:

1 | 4
2 | 3 4 8
3 | 2 6 8
4 |
5 | 0

Group N:

1 | 0
2 | 3 6
3 | 5
4 | 1
5 | 4 7
6 | 2

Analysis:

• Range: Group M ranges from 14 to 50 kg, while Group N ranges from 10 to 62 kg. Group N has a wider range.
• Distribution: Group M has a cluster in the 20s and 30s, while Group N is more evenly distributed.

Key Takeaway: Group N has a wider range and more diverse weights, while Group M is more clustered around the 20s and 30s.

1 | 3
2 | 1 4
3 | 2 5 5
4 | 0 3

1 | 1 2
2 | 3 4
3 | 0 1 2
4 | 5