A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strength of nine randomly selected casts (Psi). 3950, 4100, 3100, 3100, 2940, 3820, 4090, 4040, 3440. Compute the main median and mod strength of the concrete (In psi).

Let's compute the mean, median, and mode of the concrete strengths:

### 1. Mean Strength:
The mean is calculated by summing all the values and dividing by the total number of values.

\[
\text{Mean} = \frac{3950 + 4100 + 3100 + 3100 + 2940 + 3820 + 4090 + 4040 + 3440}{9}
\]

### 2. Median Strength:
The median is the middle value when the data set is arranged in ascending order. First, let's arrange the values:

\[
2940, 3100, 3100, 3440, 3820, 3950, 4040, 4090, 4100
\]

Since there are 9 values, the median is the 5th value.

### 3. Mode Strength:
The mode is the most frequent value. If no value repeats, there is no mode.

Now, let's calculate these values.Here are the computed values for the concrete strengths:

1. **Mean strength**: 3620 psi
2. **Median strength**: 3820 psi
3. **Mode strength**: 3100 psi

Would you like a detailed explanation of these calculations or have any further questions?

Here are some related questions you might find helpful:
1. How does the mode affect the distribution of data?
2. What is the significance of using the median instead of the mean?
3. How would the values change if there were more samples?
4. What is the standard deviation of these concrete strengths?
5. How can outliers affect the mean and median in a data set?

**Tip:** The mean is sensitive to extreme values, while the median provides a better central tendency when the data contains outliers.

A concrete mix is designed to withstand 3000 pounds per square inch (psi) of pressure. The following data represent the strength of nine randomly selected casts (Psi): 3950, 4100, 3100, 3100, 2940, 3820, 4090, 4040, 3440. Compute the mean, median, and mode strength of the concrete (in psi).

This problem explores the computation of mean, median, and mode for concrete strengths designed to withstand 3000 psi pressure. Data points include values like 3950, 4100, and 3100 psi, and the solution shows how to calculate central tendencies in a real-world context. Suitable for students in Grades 9-12.

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