a. The five-number summary of the data would be:
Minimum: 23; Quartile Q1: 29; Median: 33; Quartile Q3: 42; Maximum: 51
b. The box plot for the data set is given in the diagram attached below.
c. The distribution of the scores based on the box plot is positively skewed.
What is a Box Plot?
A box plot represents a data distribution showing the five-number summary which includes, min and max values, lower and upper quartile, and median of the data distribution.
Given the data set:
33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31
a. The five-number summary of the data would be:
Minimum: 23
Quartile Q1: 29
Median: 33
Quartile Q3: 42
Maximum: 51
b. The box plot for the data set is given in the diagram attached below.
c. The box plot shows that the median is closer to the bottom of the rectangular box, therefore, the distribution of the scores based on the box plot is positively skewed.
Learn more about box plot on:
https://brainly.com/question/14277132
