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In the image, you are on question 16 of a math quiz, which involves interpreting a frequency table and matching it to the correct histogram. The table categorizes the winners of a prize in literature by their age at the time they received the award, and the task is to display the data in a histogram and identify trends or patterns.

### The given frequency table dataIn the image, you are on question 16 of a math quiz, which involves interpreting a frequency table and matching it to the correct histogram. The table categorizes the winners of a prize in literature by their age at the time they received the award, and the task is to display the data in a histogram and identify trends or patterns.

### The given frequency table 
- Age (45-49): 6 winners
- Age (50-54): 10 winners
- Age (55-59): 16 winners
- Age (60-64): 18 winners
- Age (65-69): 12 winners
- Age (70-74): 8 winners
- Age (75-79): 4 winners
- Age (80-84): 2 winners

### What you need to do:
1. **Compare the table to the histograms**: Look at the heights of the bars in each histogram and compare them to the data in the table. The correct histogram should show increasing bars from 45-49 to 60-64, then decreasing bars from 65-69 onwards.

2. **Choose the correct histogram**: Based on the trend in the data (an initial rise, peaking at 60-64, then declining), the histogram should reflect this.

Would you like more details on how to analyze histograms and select the correct one?

Here are some follow-up questions that could help expand your understanding:

1. How do you identify patterns in histograms?
2. What are key differences between frequency tables and histograms?
3. How can we describe the trend in this data?
4. Why is it important to label the axes correctly in histograms?
5. How would the shape of the histogram change if the age groups were narrower?

**Tip**: When comparing data with a histogram, always ensure the bar heights and the intervals on the x-axis match the frequency values in the table.

Which histogram below represents the data? The frequency table categorizes winners of a prize in literature by their age at the time they received the award. Display the data in a histogram and explain any noticeable trends or patterns. The table data is as follows: 
- Age (45-49): 6 winners
- Age (50-54): 10 winners
- Age (55-59): 16 winners
- Age (60-64): 18 winners
- Age (65-69): 12 winners
- Age (70-74): 8 winners
- Age (75-79): 4 winners
- Age (80-84): 2 winners.

Learn how to analyze and match histograms with a given frequency table. The data categorizes winners of a literature prize by their age, showing trends as the age range increases. Suitable for Grades 8-10, this problem covers data analysis, frequency tables, and identifying patterns in histograms.

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