To answer the question, "What is the frequency of times the limit was exceeded by at most 4 items?", we need to interpret the histogram shown in the image.

The x-axis represents the number of items over 10, and the y-axis represents the frequency. The x-axis values range from 0.5 to 7.5. We are asked to find the frequency of times where the number of items exceeded the limit by at most 4 items. This means we are interested in the bars corresponding to values between 0.5 and 4.5 on the x-axis.

The bars of interest correspond to the following x-axis intervals:

• 0.5 to 1.5
• 1.5 to 2.5
• 2.5 to 3.5
• 3.5 to 4.5

From the histogram:

• The frequency for 0.5–1.5 is 4.
• The frequency for 1.5–2.5 is 8.
• The frequency for 2.5–3.5 is 14.
• The frequency for 3.5–4.5 is 10.

Now, adding these frequencies together: $4 + 8 + 14 + 10 = 36$

Therefore, the frequency of times the limit was exceeded by at most 4 items is 36.

Would you like further details or clarification? Here are some related questions you might find useful:

1. How do histograms help in analyzing data distributions?
2. What is the cumulative frequency and how is it calculated?
3. How does frequency differ from relative frequency?
4. What are some common uses of histograms in statistics?
5. How do we define "at most" and "at least" in mathematical problems?

Tip: When working with histograms, always check the range on the x-axis to ensure correct interpretation of the frequency for given intervals.