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Use the side-by-side boxplots shown to complete parts (a) through (e)
Use the side-by-side boxplots shown to complete parts (a) through (e) - (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?
A. Variable y-the interquartile range of variable y is larger than that of variable x
B. Variable x-the range of variable y is smaller than that of variable x
C. Variable he interquartile range of variable x is larger than that of variable y
D. Variable y-the range of variable x is smaller than that of variable y
E. Both dispersions are equal.
- (d) Describe the shape of the variable Support your position.
The side by side boxplots are used to estimate themedianof the variable ,the third quartile ,which has moredispersion.(a) Themedianof variable x can be estimated by finding the vertical line that divides the boxplot into two equal halves. Based on the given side-by-side boxplots, the median of variable x is approximately 10.(b) Thethird quartileof variable y can be determined by locating the upper boundary of the box in the boxplot. From the provided boxplots, the third quartile of variable y is approximately 25.(c)Variablex has more dispersion than variable y. This conclusion can be reached by comparing the interquartile ranges (IQR) of the two variables. The interquartile range of variable x represents the range of values that lie between the first quartile (25th percentile) and the third quartile (75th percentile). In the given boxplots, the box representing variable x appears wider, indicating a larger IQR compared to the box representing variable y. Therefore, the correct option is (C) Variable x - the interquartile range of variable x is larger than that of variable y.(d) The shape of the variable can be described as slightly right-skewed or positivelyskewed. This observation is based on the asymmetrical distribution of the boxplots. The median line of variable x appears slightly to the left of the center of the box, while the median line of variable y is closer to the center. Additionally, the whisker on the right side of variable x is longer than the left side, indicating a longer tail in that direction. This elongated right tail suggests that there are some larger values that deviate from the overall pattern of the data, leading to a right-skewed shape. However, without specific data points or a more detailed analysis, it is challenging to provide a precise characterization of the shape.Learn more aboutskewedhere:brainly.com/question/8344782#SPJ11...