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4 years ago

The data below indicate the contamination in parts per million in each of 50 samples of drinking water at a specific location.

Mathematics

1 answer:

Digiron [165]4 years ago

8 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Sorted data :

388, 389, 389, 390, 391, 393, 393, 393, 396, 398, 399, 400, 400, 400, 401, 402, 402, 403, 403, 403, 404, 404, 404, 405, 405, 405, 406, 406, 406, 407, 407, 408, 408, 408, 409, 409, 411, 412, 412, 413, 414, 416, 416, 416, 419, 420, 420, 424, 424, 1650

n = number of observations = 50

1) first quartile of the data (Q1) : 1/4(n+1)th term

1/4(51)th term= 12.75th term = 400

2)3rd quartile :

3/4(51)th term = 38.25th term = 412

3)median of data (Q2) :

1/2(51)th term = 25.5 th term = 405

4) mean of data

Σx / n = 21501 / 50 = 430.02

5)Outlier : Values that are greater than Q3 + 1.5 IQR or less than Q1 - 1.5 IQR

IQR = Q3 - Q1 = 412 - 400 = 12

> Q3 + 1.5 IQR

> 412 + 1.5(12) = > 430

< Q1 - 1.5 IQR = < 400 - 1.5(12) = 382

Outlier = 1650

Median after outlier is deleted :

1/2(50) th term = 25 th term = 405

Mean after outlier is deleted :

Σx / n = 19851 / 49 = 405.122

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Answer:

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