Step 1: Organize Data into a Frequency Table

The intervals provided are:

• 40–44
• 45–49
• 50–54
• 55–59
• 60–64
• 65–69

Here is the frequency table with tally marks and frequencies.

Interval	Tally	Frequency
40–44
45–49
50–54
55–59
60–64
65–69

Step 2: Constructing and Labeling a Frequency Histogram

A frequency histogram is a bar graph representing the data from the frequency table. Follow these steps:

1. Draw Axes:

   • Horizontal axis (x-axis): Label it with the intervals (40–44, 45–49, etc.). Each interval will represent a bar.
   • Vertical axis (y-axis): Label it with "Frequency" and include evenly spaced numbers based on the maximum frequency (in this case, 7).

2. Create Bars:

   • For each interval, draw a bar that corresponds to the frequency of that interval. The height of each bar represents its frequency.

3. Spacing:

   • Ensure there are no gaps between the bars because the intervals are continuous.

4. Label the Chart:

   • Title the histogram appropriately (e.g., "Morning Temperatures in Stormville, NY").
   • Include labels for each axis: "Temperature Intervals (°F)" on the x-axis and "Frequency" on the y-axis.

5. Check for Accuracy:

   • Verify the number of bars matches the intervals and the height matches the frequencies.

Would you like assistance with plotting this histogram or any additional explanations?

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5 Related Questions:

1. How do cumulative frequencies differ from simple frequencies, and how can they be added to the table?
2. Can this data be used to calculate the mean, median, and mode? If yes, how?
3. What are some advantages of using histograms for frequency data visualization?
4. How could we convert this data into a relative frequency table?
5. What are some other graphical representations suitable for this data?

Tip:

When constructing a histogram, always ensure the intervals are of equal width to maintain accuracy in data visualization.