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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi
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The article “Hydrogeochemical Characteristics of

Chapter 1, Problem 16SE

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QUESTION:

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

488 200 215 486 257 557 260

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?

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QUESTION:

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

488 200 215 486 257 557 260

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?

ANSWER:

Answer :

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

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