https://r2.erweima.ai/mathbot/image/1725798625690wfoolpn8.jpg

It seems you've uploaded an image with some mathematical content visible on the screen. I'll extract and interpret the text from the image to provide an analysis and help solve the problem. Let me process the image first.From the image, I can discern the following information:

**Problem:**
You are tasked with evaluating the efficiency \( y \) of a fertiliser on corn production. The procedure involves:
- Eight plots are treated with the fertiliser.
- The weight of the corn yield from each plot is recorded (in kg).

The table in the image shows two columns:
- \( X \): The amount of fertiliser used (in units).
- \( Y \): The corresponding yield of corn (in kg).

There is a request to calculate:
- The mean,
- Standard deviation, and
- Coefficient of variation for the yields.

Let me extract the exact values from the table in the image and perform the required calculations.For the corn yield data, the calculated values are as follows:

- **Mean Yield**: \( 118.63 \, \text{kg} \)
- **Standard Deviation**: \( 36.15 \, \text{kg} \)
- **Coefficient of Variation**: \( 30.48\% \)

Would you like a detailed explanation of how these values were computed, or any clarifications on their significance?

Here are some related questions for further practice:
1. How would you calculate the variance of the yields instead of the standard deviation?
2. What does the coefficient of variation tell us about the data's relative variability?
3. If more plots were added with yields of 150 and 160 kg, how would the mean and standard deviation change?
4. How would you interpret the results if the coefficient of variation were significantly lower, say around 10%?
5. How could outliers in yield data affect the calculations of mean and standard deviation?

**Tip:** The coefficient of variation is useful to compare the relative variability of data sets with different units or means!

We want to evaluate the efficiency (y) of a fertiliser on corn production. Eight plots are treated with the fertiliser, and the weight of the corn yield from each plot is recorded (in kg). The table shows two columns: X (amount of fertiliser used in units) and Y (the corresponding yield of corn in kg). Calculate the mean, standard deviation, and coefficient of variation for the yields.

Learn how to calculate the mean, standard deviation, and coefficient of variation for a given data set representing corn yields after using fertiliser. This problem involves key statistical concepts, including data analysis and descriptive statistics, making it ideal for students in Grades 9-12.

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