The below display the live-mamber rations, in parts per million (ppen) of aldrin

Question

The below display the live-mamber rations, in parts per million (ppen) of aldrin twenty locations that were Epled in each of three pesticide), for the rivers (Rivers x, zy. Concentrations Aldrin oppn) (a) (4 pts) Compare and contrast the shape of the distribution of aldrin concentra tions across the three rivers. (b) (4 pts) Compare and contrast the center of the distribution of aldrin concentra. tions across the three rivers. (4 pts) Compare and contrast the spread of the distribution of aldrin concentra tions across the three rivers.

Explanation / Answer

A boxplot divides the data set into quartiles. The body of the boxplot consists of a "box" which goes from the first quartile (Q1) to the third quartile (Q3).

Within the box, a vertical line is drawn at the Q2, the median of the data set. Two horizontal lines, called whiskers, extend from the front and back of the box. The front whisker goes from Q1 to the smallest non-outlier in the data set, and the back whisker goes from Q3 to the largest non-outlier.

A - So as per shape, River X has more range of aldrin due to it's longitivity. River X's plot is left skewed, River Z's is right skewed. While River Y has more symmetric presence of aldrin

B - Center of distribution in box plot is median. Which is the line in center of box shape. Hence by center of distribution, River X has more Median concentration of aldrin compared to Y. Z has lowest concentration median out of 3 rivers.

C - Spread in boxplot is horizontal distance between the smallest value and the largest value. Hence River X has spread of about 5.5 PPM, while River Y has spread of 3.5 PPM. River Z has lowest spread of 2 PPM aldrin.

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