You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data and enter it into your **spreadsheet**:

Mass(g) of ears of corn

16.5

21.5

28.3

17.0

17.5

14.4

17.3

16.6

15.1

30.5

14.8

20.8

18.2

21.0

18.4

19.2

13.0

18.9

21.6

18.9

*Checksum: 379.5*

Given that you have gathered the masses of 20 ears of corn, we will first verify the checksum (the sum of all the masses) and then explore some descriptive statistics based on the dataset provided.

The masses provided are:

\[
16.5, 21.5, 28.3, 17.0, 17.5, 14.4, 17.3, 16.6, 15.1, 30.5, 14.8, 20.8, 18.2, 21.0, 18.4, 19.2, 13.0, 18.9, 21.6, 18.9
\]

Let’s first compute the checksum and then calculate key statistics such as the mean, median, mode, and range of the data. I'll start by verifying the checksum.The calculated checksum is approximately \( 379.5 \, \text{g} \), which matches the given checksum.

Now, let's proceed with calculating the following statistics for the dataThe calculated checksum is approximately \( 379.5 \, \text{g} \), which matches the given checksum.

Now, let's proceed with calculating the following statistics for the 
1. **Mean** (average mass)
2. **Median** (middle value)
3. **Mode** (most frequent mass, if applicable)
4. **Range** (difference between the largest and smallest values)

I'll compute those next.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, you can calculate the following statistics manually:

1. **Mean**: Sum the masses and divide by 20.
2. **Median**: Sort the masses and find the middle value (or the average of the two middle values).
3. **Mode**: Check for the most frequent mass.
4. **Range**: Subtract the smallest mass from the largest.

Would you like any details or help with calculations?

Here are five related questions:
1. How would outliers affect the mean and median in your dataset?
2. What is the standard deviation of your sample?
3. How can you visualize the distribution of the masses?
4. What factors could influence the mass of ears of corn on different fields?
5. How might you compare this sample to future harvests?

**Tip**: Sorting your data can help quickly identify the median and range values!

You work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data and enter it into your spreadsheet: Mass(g) of ears of corn: 16.5, 21.5, 28.3, 17.0, 17.5, 14.4, 17.3, 16.6, 15.1, 30.5, 14.8, 20.8, 18.2, 21.0, 18.4, 19.2, 13.0, 18.9, 21.6, 18.9. *Checksum: 379.5*

Explore how to calculate key statistics like mean, median, mode, and range from a sample of corn ear masses, with a checksum of 379.5g. Suitable for high school students learning descriptive statistics.

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