ugar is a major ingredient in many breakfast
cereals. The histogram displays the sugar content as a percentage of weight for 46 brands of cereal. The boxplot compares sugar content for adult cereals​ (A) and​ children's cereals​ (C). Complete parts a through c.
A
C
0
10
20
30
40
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60
70
% sugar
66
1

It looks like you're working on interpreting a histogram and boxplot comparing sugar content in cereals. I’ll guide you through the process of answering questions about these visuals based on the provided information.

Since I don’t have direct access to the images, I'll explain general approaches that apply to most questions involving histograms and boxplots.

### a) **Describe the distribution of sugar content across the 46 brands of cereal based on the histogram.**
To answer this, you'll need to consider:
- **Shape**: Is the distribution symmetrical, skewed left, or skewed right? A right-skewed histogram would have a longer tail to the right, indicating more brands with higher sugar content.
- **Center**: Estimate where most data points lie. This would be around the peak of the histogram.
- **Spread**: How far does the data stretch? What is the range of sugar percentages?
- **Outliers**: Are there any unusual values? For example, a few brands with very high sugar content.

### b) **Compare the sugar content in adult cereals and children's cereals using the boxplot.**
For comparing adult cereals (A) and children's cereals (C), consider:
- **Median**: Which group has a higher median sugar content? This is shown by the line inside each box.
- **Interquartile Range (IQR)**: Which group has a wider IQR (box size)? A wider IQR means more variability in sugar content.
- **Outliers**: Are there any outliers (marked by dots or stars)? Which group has more?
- **Range**: Which group has a larger overall range of sugar content (distance from the minimum to maximum values)?

### c) **Does it appear that adult cereals or children's cereals have higher sugar content on average?**
To address this, you should consider:
- **Median comparison**: If children's cereals have a higher median, they likely have a higher sugar content on average.
- **Box plot spread**: If children's cereals have both a higher median and longer upper whisker, they generally contain more sugar.

### Questions:
1. What are the key features of a right-skewed distribution in a histogram?
2. How can the range of a dataset be estimated from a histogram?
3. What does the IQR (interquartile range) tell you about the variability of sugar content in cereals?
4. Why might children's cereals have more sugar content than adult cereals based on common cereal marketing strategies?
5. How do outliers in the boxplot affect the interpretation of average sugar content?

### Tip:
When comparing two groups using boxplots, always check the median and spread before making conclusions about averages. This helps avoid confusion between variability and central tendency.

Sugar is a major ingredient in many breakfast cereals. The histogram displays the sugar content as a percentage of weight for 46 brands of cereal. The boxplot compares sugar content for adult cereals​ (A) and​ children's cereals​ (C). Complete parts a through c.

Explore how to analyze sugar content in 46 brands of cereal using histograms and boxplots. Learn to interpret distribution shape, central tendency, and variability across adult and children's cereals, applying concepts like range, median, and IQR. Suitable for students in Grades 9-12.

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