Math Problem Statement
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.)
Solution
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:
- How do you interpret the mode in this context?
- What is the significance of using the midrange in data analysis?
- Can the presence of multiple modes affect the interpretation of the data?
- How might the distribution of this data look visually?
- 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.
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Measures of Central Tendency
Formulas
Mean: (Sum of all values) / (Number of values)
Median: Middle value when data is ordered
Mode: Most frequent value
Midrange: (Minimum value + Maximum value) / 2
Theorems
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Suitable Grade Level
Grades 9-12
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