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To find the proportion of carrying loads in the sample that are greater than or equal to 880 pounds per square foot, follow these steps:

### 1. Extract the relevant dataTo find the proportion of carrying loads in the sample that are greater than or equal to 880 pounds per square foot, follow these steps:

### 1. Extract the relevant 
From the histogram, we see the following frequencies for each interval of carrying load:
- 860 to 880: 4 beams
- 880 to 900: 5 beams
- 900 to 920: 9 beams
- 920 to 940: 5 beams
- 940 to 960: 2 beams

The total sample size is \( 25 \) beams, as stated in the problem.

### 2. Identify the relevant intervals:
We are interested in carrying loads **greater than or equal to 880 pounds per square foot**. The intervals satisfying this condition are:
- 880 to 900: 5 beams
- 900 to 920: 9 beams
- 920 to 940: 5 beams
- 940 to 960: 2 beams

### 3. Sum the frequencies for these intervals:
\[
5 + 9 + 5 + 2 = 21
\]

### 4. Calculate the proportion:
The proportion is the number of beams with carrying loads greater than or equal to 880 pounds divided by the total number of beams:

\[
\frac{21}{25} = 0.84
\]

Thus, the proportion of carrying loads that are greater than or equal to 880 pounds per square foot is **0.84**.

Would you like any further details or explanations? Here are some additional related questions:

1. How would you calculate the proportion for loads greater than 900 pounds per square foot?
2. What is the average (mean) carrying load based on the given histogram?
3. How can you estimate the median load from the histogram?
4. What percentage of the beams have carrying loads less than 880 pounds per square foot?
5. How could this data be used to make decisions about the glue’s effectiveness?

**Tip:** When interpreting histograms, ensure that each bar’s width and height represent the intervals and frequencies accurately, as this directly impacts calculations.

Based on the histogram, find the proportion of carrying loads in the sample that are greater than or equal to 880 pounds per square foot.

Learn how to calculate the proportion of carrying loads greater than or equal to 880 pounds per square foot based on the given histogram. Analyze frequencies and use statistical methods to determine the result. Ideal for high school students studying statistics and data interpretation.

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