Asked by Linda Samuelraj on Jun 06, 2024
Verified
If the distribution of a data set were perfectly symmetric,the distance from Q1 to the median would always equal the distance from Q3 to the median in a box plot.
Median
The middle value of a dataset, which divides the dataset into two halves when the numbers are arranged in ascending order.
Symmetric Distribution
A distribution where the left and right sides of the distribution are mirror images of each other.
1st Quartile
The 1st quartile, also known as the lower quartile, is a statistical measure that divides the lowest 25% of data in a dataset from the highest 75%.
- Investigate the deviation from symmetry in a distribution and its consequences for data analysis.
- Examine the distribution of data by employing graphical techniques such as box plots.
Verified Answer
QG
Quida GloverJun 12, 2024
Final Answer :
True
Explanation :
In a perfectly symmetric distribution, the quartiles (Q1 and Q3) and therefore the positions of the upper and lower fences will be equidistant from the median. This means that the distance from Q1 to the median would always equal the distance from Q3 to the median in a box plot. Therefore, the statement is true.
Learning Objectives
- Investigate the deviation from symmetry in a distribution and its consequences for data analysis.
- Examine the distribution of data by employing graphical techniques such as box plots.