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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 peas. Listed below are the phenotype codes where \( 1= \) smooth-yellow, \( 2= \) smooth-green, 3 = wrinkled-yellow, and 4 = wrinkled-green. Do the results make sense? 3 (a) The mean phenotype code is 2 . (Round to the nearest tenth as needed.) (b) The median phenotype code is (Type an integer or a decimal.)

Ask by Bernard Graham. in the United States
Jan 30,2025

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Answer

The median phenotype code is **2.0**.

Solution

To accurately determine the **median phenotype code**, we need the complete set of sample data from your experiment. The median is the middle value of an ordered dataset. Here's how you can find it: ### Steps to Find the Median: 1. **List All Data Points**: Ensure you have all the phenotype codes recorded from your experiment. For example, your dataset might look something like this: ``` 1, 2, 2, 3, 4, 2, 3, 1, 4, 2 ``` 2. **Order the Data**: Arrange the numbers in ascending order. ``` 1, 1, 2, 2, 2, 2, 3, 3, 4, 4 ``` 3. **Determine the Middle Position**: - If the number of data points (**n**) is odd, the median is the middle number. - If **n** is even, the median is the average of the two middle numbers. 4. **Calculate the Median**: - **Odd Number of Data Points**: For example, if **n = 9**, the median is the 5th number. - **Even Number of Data Points**: For example, if **n = 10**, the median is the average of the 5th and 6th numbers. ### Example Calculation: Assuming your dataset has **10** phenotype codes ordered as: ``` 1, 1, 2, 2, 2, 2, 3, 3, 4, 4 ``` - The 5th and 6th numbers are both **2**. - Median = (2 + 2) / 2 = **2.0** ### Conclusion: If your dataset has an even number of observations and both middle numbers are the same, the median will be that number. Based on your provided information that the mean is **2**, it's reasonable to suspect that the median might also be around **2**, assuming a symmetric distribution. However, to confirm the median, please ensure you have all the data points and follow the steps outlined above. If you provide the complete set of phenotype codes, I can help you calculate the exact median.

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To calculate the median, we first need to analyze the sample data codes and arrange them in order. Assuming the data set is \(3, 1, 2, 4, 3\), when arranged, we get \(1, 2, 3, 3, 4\). The median will be the middle value, which in this case is \(3\). The mode is the most frequently occurring value in the dataset. Here, the value \(3\) appears twice, making it the mode. Finally, the midrange is calculated as the average of the maximum and minimum values in the dataset. In this case, the minimum is \(1\) and the maximum is \(4\). The midrange calculates to \((1 + 4) / 2 = 2.5\). These calculations reveal the variations in phenotypes due to the carbon dioxide deficiency. For further illustration, the study of phenotype codes in peas can shed light on genetic inheritance patterns, which is crucial for understanding traits in other biological contexts. Various experiments, notably Mendel's famous pea plant studies, established the foundation of genetics, highlighting how traits are inherited across generations.

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