Hello, i’m Needing some help with this problem, I believe I’ve gotten the answer but I’d Like someone to check over them for me and tell me if they are wrong and why.
Which of the following do you have to do to solve a Box and Whisker Plot problem? Select all answers that apply:
A. Organize the data freak least to greatest.**
B. find the median of the data set.**
C. Calculate your upper quartile.**
D: Draw whiskers from the lower and upper quartiles to the extreme data points.
E. Draw a box on a line plot using the median and quartile numbers.**
I feel as if all answers are correct somehow? Can I have an explanation on why my answer are wrong if they are wrong please?
Sure! Let's go through each answer option and determine whether it is correct for solving a Box and Whisker Plot problem:
A. Organize the data freak least to greatest. - This answer is correct. When constructing a Box and Whisker Plot, it is necessary to arrange the data in ascending order from least to greatest. This helps us determine the minimum, lower quartile, median, upper quartile, and maximum values.
B. Find the median of the data set. - This answer is correct. The median divides the data into two equal halves. In a Box and Whisker Plot, the median is represented by a line within the box. It helps us visualize the central tendency of the dataset.
C. Calculate your upper quartile. - This answer is correct. The upper quartile is the median of the upper half of the data. It helps us understand the spread of the data in the higher range. In a Box and Whisker Plot, the upper quartile is represented as the upper boundary of the box.
D. Draw whiskers from the lower and upper quartiles to the extreme data points. - This answer is incorrect. Whiskers in a Box and Whisker Plot extend to the most extreme non-outlier data points within 1.5 times the interquartile range (IQR), not to all extreme data points. Outliers are represented as separate points outside the whiskers.
E. Draw a box on a line plot using the median and quartile numbers. - This answer is correct. In a Box and Whisker Plot, a box is drawn using the lower quartile, median, and upper quartile. It represents the interquartile range (IQR) and visually shows the middle 50% of the dataset.
So, the correct answers are A, B, C, and E. Answer D is incorrect because not all extreme data points are connected by whiskers in a Box and Whisker Plot.