Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the given sample data. 

An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 

1 equals smooth dash yellow1=smooth-yellow​, 

2 equals smooth dash green2=smooth-green​, 

3 equals wrinkled dash yellow3=wrinkled-yellow​, 

and 

4 equals wrinkled dash green4=wrinkled-green. 

Do the results make​ sense?

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Part 1

​(a) The mean phenotype code is 

enter your response here.

​(Round to the nearest tenth as​ needed.)

The statistical values for the given sample data are as follows:

(a) The mean phenotype code is approximately **2.1** (rounded to the nearest tenth).

(b) The median phenotype code is **2.0**.

(c) The mode phenotype code is **1** (the most frequent value).

(d) The midrange (average of the minimum and maximum values) is **2.5**.

These results reflect a balance in the phenotype distribution, though they may not immediately suggest a clear pattern about the influence of CO₂ on pea phenotypes without more context.

Do you want more details or have any questions?

Here are five related questions:
1. How do you interpret the mode in this context?
2. What is the significance of using the midrange in data analysis?
3. Can the presence of multiple modes affect the interpretation of the data?
4. How might the distribution of this data look visually?
5. How would the addition of more phenotype codes affect these calculations?

**Tip:** The mode is particularly useful for categorical data, where the most frequent category can be of special interest.

Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 equals smooth-yellow, 2 equals smooth-green, 3 equals wrinkled-yellow, and 4 equals wrinkled-green. Do the results make sense? 4, 4, 2, 2, 1, 1, 2, 2, 1, 1, 4, 4, 2, 1, 1, 3, 1, 4.

Learn how to calculate the mean, median, mode, and midrange for a dataset involving pea phenotype codes. This problem explores basic statistical measures and provides a step-by-step guide to understanding phenotype data distribution. Suitable for students in Grades 9-12.

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