Question

Consider the following data and compute the five number summary by hand. (min=0.11, first quartile =2.10, median =6.11, third quartile =11.29,max=23.32) (min=0, first quartile =25%, median =50%, third quartile =75%,max=23) (min=0.11, first quartile =25%, median =50%, third quartile =75%,max=23.32) (Min: 0.11, Q1: 1.84, M: 6.11, Q3: 11.35, Max: 23.32)

Answer 1

The five number summary in statistics includes the minimum, first quartile, median, third quartile, and maximum, which are essential for understanding data distribution and constructing a box plot.

Step-by-step explanation:

Understanding the Five Number Summary

The question focuses on constructing a five number summary, which is a set of descriptive statistics that provide insights into various aspects of a data set. The five number summary includes the minimum, the first quartile (Q1), the median (Q2 or M), the third quartile (Q3), and the maximum. It's worth noting that the median splits the data set in half, the first quartile represents the median of the lower half of the data, and the third quartile represents the median of the upper half of the data. These five values help in understanding the distribution of the data set and are also used to construct a box plot, which visually displays the distribution of the data based on the five number summary.

To construct a box plot, draw a box from Q1 to Q3, with a line inside the box indicating the median. Then, draw "whiskers" from Q1 to the minimum value and from Q3 to the maximum value. The resulting plot provides a quick visual interpretation of the data's spread and central tendency.