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 = smooth-yellow, 2= smooth-green, 3= wrinkled-yellow, and 4 = wrinkled-green. Do the results make sense? 3. 1 4 3 4 1 1. 3 4. (a) The mean phenotype code is (Round to the nearest tenth as needed.) (b) The median phenotype code is (Type an integer or a decimal.) (c) Select the correct choice below and fill in any answer boxes within your choice. O A. The mode phenotype code is (Use a comma to separate answers as needed.) O B. There is no mode. (d) The midrange of the phenotype codes is (Type an integer or a decimal.) Do the measures of center make sense? O A. Only the mode makes sense since the data is nominal. O B. All the measures of center make sense since the data is numerical. O C. Only the mean, median, and mode make sense since the data is numerical. O D. Only the mean, median, and midrange make sense since the data is nominal.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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