find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. an experiment was…

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? 2 3 1 4 4 1 2 2 4 2 1 1 1 1 (a) the mean phenotype code is . (type an integer or decimal rounded to one decimal place as needed.) (b) the median phenotype code is . (type an integer or decimal rounded to one decimal place as needed.) (c) select the correct choice below and fill in any answer boxes within your choice. a. the mode phenotype code is . (type an integer or a decimal. do not round. use a comma to separate answers as needed.) b. there is no mode. (d) the midrange of the phenotype codes is . (type an integer or decimal rounded to one decimal place as needed.) do the measures of center make sense?

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? 2 3 1 4 4 1 2 2 4 2 1 1 1 1 (a) the mean phenotype code is . (type an integer or decimal rounded to one decimal place as needed.) (b) the median phenotype code is . (type an integer or decimal rounded to one decimal place as needed.) (c) select the correct choice below and fill in any answer boxes within your choice. a. the mode phenotype code is . (type an integer or a decimal. do not round. use a comma to separate answers as needed.) b. there is no mode. (d) the midrange of the phenotype codes is . (type an integer or decimal rounded to one decimal place as needed.) do the measures of center make sense?

Answer

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 15$, and $\sum_{i=1}^{15}x_{i}=2 + 3+1 + 4+4 + 1+2+2+4+2+1+1+1+1 = 26$. So, $\bar{x}=\frac{26}{15}\approx1.7$.

Step2: Calculate the median

First, order the data: $1,1,1,1,1,1,2,2,2,2,2,3,4,4,4$. Since $n = 15$ (odd), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{15+1}{2}=8$-th value. So the median is $2$.

Step3: Calculate the mode

The mode is the value that appears most frequently in the data - set. The number $1$ appears $6$ times, the number $2$ appears $5$ times, the number $3$ appears $1$ time, and the number $4$ appears $3$ times. So the mode is $1$.

Step4: Calculate the mid - range

The mid - range is $\frac{\text{min}+\text{max}}{2}$. The minimum value in the data - set is $1$ and the maximum value is $4$. So the mid - range is $\frac{1 + 4}{2}=2.5$.

Answer:

(a) $1.7$ (b) $2$ (c) A. $1$ (d) $2.5$