Find the interquartile range

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Reference no: EM131008678

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.

tive frequency for a given class interval are the sums

2099

528

2030

1350

1018

384

1499

of the frequencies and relative frequencies,    respec-

1265

375

424

789

810

522

513

tively, over all classes up to and including the  given

488

200

215

486

257

557

260

class. For example, if there are five classes, with fre-

461

500

 

 

 

 

 

quencies 11, 7, 3, 14, and 5, the cumulative frequen-

 

 

 

 

 

 

 

cies would be 11, 18, 21, 35, and 40, and the cumulative relative frequencies would be 0.275, 0.450,

a. Find the mean.

b. Find the standard deviation.

c. Find the median.

d. Construct a dotplot.

e. Find the first quartile.

f. Find the third quartile.

g. Find the interquartile range.

h. Construct a boxplot.

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

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

Reference no: EM131008678

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