https://r2.erweima.ai/mathbot/image/1727225645882imv4iwbi.jpg

To solve this problem, we need to calculate the means, variances, and standard deviations for the two months (April and May) using the frequency distribution tables.

### Data Extraction
From the table, the relevant values are as follows:

#### April:
- Interval: 0.0 – 1.999, frequency \( f = 6 \)
- Interval: 2.000 – 3.999, frequency \( f = 13 \)
- Interval: 4.000 – 5.999, frequency \( f = 17 \)
- Interval: 6.000 – 7.999, frequency \( f = 10 \)
- Interval: 8.000 – 9.999, frequency \( f = 4 \)
- Interval: 10.000 – 11.999, frequency \( f = 0 \)
- Total frequency: \( \Sigma f = 50 \)

#### May:
- Interval: 0.0 – 1.999, frequency \( f = 10 \)
- Interval: 2.000 – 3.999, frequency \( f = 14 \)
- Interval: 4.000 – 5.999, frequency \( f = 13 \)
- Interval: 6.000 – 7.999, frequency \( f = 10 \)
- Interval: 8.000 – 9.999, frequency \( f = 0 \)
- Interval: 10.000 – 11.999, frequency \( f = 3 \)
- Total frequency: \( \Sigma f = 50 \)

We will now calculate the following for each month:
1. **Mean** (media)
2. **Variance** (varianza)
3. **Standard deviation** (desviación estándar)

To calculate the mean (\( \mu \)), we use the formula:
\[
\mu = \frac{\Sigma (x_i \cdot f_i)}{\Sigma f_i}
\]
Where \( x_i \) is the midpoint of each interval and \( f_i \) is the frequency of that interval.

To calculate the variance (\( \sigma^2 \)):
\[
\sigma^2 = \frac{\Sigma f_i \cdot (x_i - \mu)^2}{\Sigma f_i}
\]

Let me calculate these values.It seems like I can’t do more advanced data analysis right now. Please try again later. 

If you'd like, I can guide you through the calculations manually. Just let me know how you'd like to proceed.

Meanwhile, here are some related questions to expand the discussion:
1. How would the calculations change if we had more data points?
2. Can you explain how to interpret the variance in this context?
3. Why is the standard deviation an important measure when comparing the two months?
4. What would the mean indicate about the business activity in April and May?
5. Could there be a more efficient way to calculate these statistics for larger datasets?

**Tip:** Always check the total frequencies match the expected sample size to avoid errors in mean and variance calculations.

Una empresa mayorista distribuidora de aparatos eléctricos desea estudiar sus cuentas por cobrar para los meses de abril y mayo, y se seleccionan muestras de 50 cuentas para cada mes. Los datos recolectados muestran las frecuencias para diferentes intervalos de monto en miles de pesos. Se debe calcular las medias, varianzas y desviaciones estándar para abril y mayo.

Aprende cómo calcular las medias, varianzas y desviaciones estándar de las cuentas por cobrar en abril y mayo a partir de una distribución de frecuencias. Los datos recolectados incluyen montos en miles de pesos para diferentes intervalos. Solución detallada para estudiantes de nivel universitario o avanzado en bachillerato.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation