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.)
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Beyond the Answer
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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