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# The article “Hydrogeochemical Characteristics of ISBN: 9780073401331 38

## Solution for problem 16SE Chapter 1

Statistics for Engineers and Scientists | 4th Edition

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Problem 16SE

The article “Hydrogeochemical Characteristics of Groundwater in a Mid-Western Coastal Aquifer System” (S. Jeen, J. Kim, et al., Geosciences Journal, 2001:339-348) presents measurements of various properties of shallow groundwater in a certain aquifer system in Korea. Following are measurements of electrical conductivity (in microsiemens per centimeter) for 23 water samples.

 2099 528 2030 1350 1018 384 1499 1265 375 424 789 810 522 513 488 200 315 486 257 557 260 461 500

a.         Find the mean.

b.        Find the Standard deviation.

c.         Find the median.

d.        Construct a dotplot.

e.         Find the 10% trimmed mean.

f.         Find the first quartile.

g.        Find the third quartile.

h.        Find the interquartile range.

i.         Construct a boxplot.

j.         Which of the points, if any, are outliers?

k. If a histogram were constructed, would it be skewed to the left, skewed to the right, or approximately symmetric?

Step-by-Step Solution:

Step 1 of 11 :

Given measurements of electrical conductivity for 23 water sample.

Then the data is given below.

 2099 522 528 513 2030 488 1350 200 1018 315 384 486 1499 257 1265 557 375 260 424 461 789 500 810

Our goal is to find.

a). Find the mean.

b). Find the standard deviation.

c). Find the median.

d). Construct dotplot.

e). Find the 10% trimmed mean.

f). Find the first quartile.

g). Find the third quartile.

i). Find the interquartile range.

j). Which of the points, if are any outlier?

k). If a histogram were constructed, would it be skewed to the left,skewed to the right,or

approximately symmetric.?

a).

Consider the data.

 2099 522 528 513 2030 488 1350 200 1018 315 384 486 1499 257 1265 557 375 260 424 461 789 500 810

Now we have to find the mean

Mean is the sum of the total numbers in the data set and divided by the total number.

Then the formula of the mean is      Therefore mean is Step 2 of 11 :

b).

Now we have to find the standard deviation.

Then the formula of the standard deviation is

SD = We know that 744.78 and n=23

Substitute the values.

SD = SD = SD = SD = 545.8739

Therefore the standard deviation is 545.8739.

Step 3 of 11 :

c).

First we have to arrange the data smallest to highest.

200,215,257,260,315,375,384,424,...,2030,2099

Then we take the middle value in the data set.

Median is 513

Therefore in the data set median is 513.

Step 4 of 6

Step 5 of 6

##### ISBN: 9780073401331

Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: Find, mean, skewed, quartile, measurements. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 16SE from chapter: 1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “The article “Hydrogeochemical Characteristics of Groundwater in a Mid-Western Coastal Aquifer System” (S. Jeen, J. Kim, et al., Geosciences Journal, 2001:339-348) presents measurements of various properties of shallow groundwater in a certain aquifer system in Korea. Following are measurements of electrical conductivity (in microsiemens per centimeter) for 23 water samples.209952820301350101838414991265375424789810522513488200315486257557260461500 a. Find the mean.________________b. Find the Standard deviation.________________c. Find the median.________________d. Construct a dotplot.________________e. Find the 10% trimmed mean.________________f. Find the first quartile.________________g. Find the third quartile.________________h. Find the interquartile range.________________i. Construct a boxplot.________________j. Which of the points, if any, are outliers?________________k. If a histogram were constructed, would it be skewed to the left, skewed to the right, or approximately symmetric?” is broken down into a number of easy to follow steps, and 111 words. Since the solution to 16SE from 1 chapter was answered, more than 510 students have viewed the full step-by-step answer.

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