Question

Suppose a biologist is studying the population of fish in freshwater lakes. He collects data on the number of different species of fish found in 20 lakes. The boxplot displays the results of the study with species of fish in intervals of 50. On a boxplot, the left whisker starts between 200 and 250 species and the right whisker ends at 700 species. The box begins at 300 species, ends at 500 species, and is marked with a line segment between 400 and 450 species. Create a five-number summary of the data set. Round values to the nearest 25 species.

Answer 1

Kindly check explanation

Explanation:

Given the following information about a box and whisker plot:

Interval used = 50

Position of left whisker = between 200 and 250

Termination point of right whisker = 700

Start point of box = 300

Endpoint of box = 500

Line segment in between start and endpoint lies between 400 and 450

Five Number summary of the box and whisker plot include ;

Minimum point : start point or position of the left whisker = (between 200 and 250) = 225

Maximum point : Endpoint or position of right whisker = 700

The lower quartile (Q1) : start point or left hand position where the box begins = 300

The Upper quartile (Q3) : End point or right hand position where the box ends = 500

The median (Q2) : line segment between the upper and lower quartile = (between 400 and 450) = 425