Use the side-by-side boxplots shown to complete parts (a) through (e). y 30 60 90 120 (a) What is the median of variable x? The median of variable x is (Round to the nearest integer as needed.) (b) What is the third quartile of variable y? The third quartile of variable y is. (Round to the nearest integer as needed.) (c) Which variable has more dispersion? Why? O A. Variable y-the interquartile range of variable y is larger than that of variable x. OB. Variable x-the interquartile range of variable x is larger than that of variable y. OC. Variable x-the range of variable y is smaller than that of variable x. O D. Variable y-the range of variable x is smaller than that of variable y. OE. Both dispersions are equal. (d) Describe the shape of the variable x. Support your position. Choose the correct answer below. O A. Skewed left-the median is left of center in the box and the left whisker is longer than the right whisker.
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images