2. A histogram is a type of bar graph that compares distinct categories of data. The frequency with which data points occur or a percentage of the total number of data points is placed in one of the categories.

Many types of cancer are related to genetic mutations, including a mutation of the BRCA1 gene that has been linked to breast cancer and ovarian cancer in women. The data in the table below shows the incidence of different types of cancers in males and females in the United States during 2002. Each of the values in the table represents the frequency of a particular type of cancer per 100,000 people.

Use the data to construct a histogram that shows the frequency of different types of cancers in males and females.

\begin{tabular}{|c|c|c|}
\hline
Cancer Type & Males & Females \\
\hline
Bladder & 37.0 & 9.4 \\
\hline
Colon & 61.3 & 44.9 \\
\hline
Lymphoma (non-Hodgkin) & 22.0 & 15.5 \\
\hline
Lung & 86.4 & 53.7 \\
\hline
Melanoma & 20.9 & 13.6 \\
\hline
Pancreas & 12.3 & 9.5 \\
\hline
\end{tabular}

Compare and contrast the cancer incidence rates in males and females.



Answer :

To compare and contrast the incidence rates of different types of cancers in males and females using the given data, follow these steps:

### Step 1: Understand the Data
The table provides the incidence rates of various types of cancers per 100,000 people for both males and females in the United States during 2002. The cancer types include Bladder, Colon, Lymphoma (non-Hodgkin), Lung, Melanoma, and Pancreas.

### Step 2: Total Incidence Rates
First, let’s consider the total incidence rates for all types of cancers combined:
- Total Incidence in Males: 239.9 per 100,000 people
- Total Incidence in Females: 146.6 per 100,000 people

### Step 3: Construct the Histogram
To construct a histogram, use the incidence rates provided in the table. Each bar will represent the incidence rate of a specific cancer type for males and females.

### Cancer Types and Their Incidence Rates:
- Bladder Cancer:
- Males: 37.0
- Females: 9.4
- Colon Cancer:
- Males: 61.3
- Females: 44.9
- Lymphoma (non-Hodgkin):
- Males: 22.0
- Females: 15.5
- Lung Cancer:
- Males: 86.4
- Females: 53.7
- Melanoma:
- Males: 20.9
- Females: 13.6
- Pancreas Cancer:
- Males: 12.3
- Females: 9.5

### Step 4: Analysis and Comparison

Bladder Cancer:
- Males have a significantly higher incidence rate of 37.0 compared to females at 9.4.

Colon Cancer:
- Both genders have substantial incidence rates, but males (61.3) are still higher compared to females (44.9).

Lymphoma (non-Hodgkin):
- Males have an incidence rate of 22.0, whereas females have a lower rate of 15.5.

Lung Cancer:
- Lung cancer is the most prevalent among both genders, with males having an incidence rate of 86.4 and females 53.7.

Melanoma:
- The incidence rate for males is 20.9, higher than the 13.6 for females.

Pancreas Cancer:
- Males have an incidence rate of 12.3, while females have a slightly lower rate of 9.5.

### Conclusions:
- Higher Incidence in Males: Across all cancer types listed, males show a higher incidence rate compared to females.
- Significant Differences: Certain types of cancer, like Bladder and Lung cancer, show significant differences in incidence rates between males and females.
- Closer Rates: For cancers like Colon and Pancreas, the incidence rates in males and females are somewhat closer but still higher in males.

By constructing a histogram with these incidence rates, the visual representation will clearly show the disparities in cancer incidence between males and females for each type of cancer.