https://r2.erweima.ai/mathbot/image/1726348747694xts3zuyo.jpg

Let's solve the problem based on the information from the image.

The problem gives us five columns of cubes with heights 7, 4, 8, 3, and 3, respectively. We are asked to perform three tasks:

### (a) Distribute the cubes evenly across the columns.
We are tasked with redistributing the cubes so that each column has the same number of cubes. The total number of cubes is:

\[
7 + 4 + 8 + 3 + 3 = 25 \text{ cubes}
\]

Since there are 5 columns, the number of cubes in each column after equal distribution will be:

\[
\frac{25}{5} = 5 \text{ cubes per column}
\]

Thus, each column will have 5 cubes.

### (b) Calculate the mean of the numbers 7, 4, 8, 3, and 3.
The mean is calculated by dividing the sum of the numbers by the number of elements:

\[
\frac{7 + 4 + 8 + 3 + 3}{5} = \frac{25}{5} = 5
\]

Thus, the mean is 5.

### (c) Compare the results from parts (a) and (b).
The quantities found in parts (a) and (b) are the same (both are 5). This is expected because when we distribute the cubes evenly across the columns, the number of cubes in each column equals the mean of the original column heights.

So the correct answer to part (c) would be:

\[
\boxed{\text{Sí. Cuando hacemos que las columnas sean iguales, la cantidad de cubos en cada columna tiene que ser la media de las columnas originales.}}
\]

Would you like to go into more details or have any questions?

Here are 5 related questions for practice:
1. What would the new height be if there were 30 cubes and 6 columns?
2. How would the mean change if one more cube was added to one of the columns?
3. How would the distribution change if we had 4 columns instead of 5?
4. What is the median of the numbers 7, 4, 8, 3, and 3?
5. How do you calculate the variance of the original cube heights?

**Tip:** The mean can often help you redistribute quantities evenly across groups in many problems.

Move the cubes so that each column has the same number of cubes. Then give the number of cubes in each column. Calculate the mean of 7, 4, 8, 3, and 3. Are the numbers found in parts (a) and (b) the same? Why or why not?

Learn how to distribute cubes equally across multiple columns and calculate the mean of given numbers. This tutorial covers essential concepts in basic algebra and arithmetic operations, suitable for middle school students.

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