In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs expensive treatment to make it usablet. These data are also available for download at the Companion Sites for this text. For convenience, the data are presented in increasing order. x: pH of Ground Water in 102 West Texas Wells 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.1 | 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.7 7.7 7.7 7.7 7.7 7.7 7.8 7.8 7.8 7.8 7.8 7.9 7.9 7.9 7.9 7.9 8.0 8.1 8.1 8.1 8.1 8.1 8.1 8.1 8.2 8.2 8.2 8.2 8.2 8.2 8.2 8.4 8.5 8.6 8.7 8.8 8.8 Use a box-and-whisker plot to describe how the data are spread about the median. The center half of the wells are found to have a pH between a lower value of |and a higher value of |. The total spread of pH values goes from a lower value of to a higher value of Are the pH values above the median more spread out than those below? O The pH values above the median are more spread out than those below. O The pH values above and below the median have the same amount of spread. O The pH values below the median are more spread out than those above. Is this observation consistent with the skew of the histogram? O Yes, this is consistent with the symmetric distribution of the histogram. O Yes, this is consistent with the left skewed distribution of the histogram. O No, this is not consistent with the right skewed distribution of the histogram. O No, this is not consistent with the symmetric distribution of the histogram. O Yes, this is consistent with the right skewed distribution of the histogram. O No, this is not consistent with the left skewed distribution of the histogram.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs expensive treatment to make it usable†. These data are also available for download at the Companion Sites for this text. For convenience, the data are presented in increasing order.

 
In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic
and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs
expensive treatment to make it usablet. These data are also available for download at the Companion Sites for this text. For convenience, the data are presented in increasing
order.
x: pH of Ground Water in 102 West Texas Wells
| 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.0 |7.1 7.1 7.1 7.1
7.1 7.1 7.1 7.1 7.1 7.1 7.2 7.2 7.2 7.2 7.2 7.2
7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3
7.3 7.3 7.3 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4
7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.6 7.6 7.6 7.6
7.6 7.6 7.6 7.6 7.6 7.7 7.7 7.7 7.7 7.7 7.7 7.8
7.8 7.8 7.8 7.8 7.9 7.9 7.9 7.9 7.9 8.0 8.1 8.1
8.1 8.1 8.1 8.1 8.i 8.2 8.2 8.2 | 8.2 8.2 8.2 8.2
8.4 8.5 8.6 8.7 8.8 8.8
Use a box-and-whisker plot to describe how the data are spread about the median.
The center half of the wells are found to have a pH between a lower value of
and a higher value of
The total spread of pH values goes
from a lower value of
to a higher value of
Are the pH values above the median more spread out than those below?
O The pH values above the median are more spread out than those below.
O The pH values above and below the median have the same amount of spread.
O The pH values below the median are more spread out than those above.
Is this observation consistent with the skew of the histogram?
O Yes, this is consistent with the symmetric distribution of the histogram.
O Yes, this is consistent with the left skewed distribution of the histogram.
O No, this is not consistent with the right skewed distribution of the histogram.
O No, this is not consistent with the symmetric distribution of the histogram.
O Yes, this is consistent with the right skewed distribution of the histogram.
O No, this is not consistent with the left skewed distribution of the histogram.
Transcribed Image Text:In West Texas, water is extremely important. The following data represent pH levels in ground water for a random sample of 102 West Texas wells. A pH less than 7 is acidic and a pH above 7 is alkaline. Scanning the data, you can see that water in this region tends to be hard (alkaline). Too high a pH means the water is unusable or needs expensive treatment to make it usablet. These data are also available for download at the Companion Sites for this text. For convenience, the data are presented in increasing order. x: pH of Ground Water in 102 West Texas Wells | 7.0 7.0 7.0 7.0 7.0 7.0 7.0 7.0 |7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.1 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.2 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.3 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.4 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.5 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.6 7.7 7.7 7.7 7.7 7.7 7.7 7.8 7.8 7.8 7.8 7.8 7.9 7.9 7.9 7.9 7.9 8.0 8.1 8.1 8.1 8.1 8.1 8.1 8.i 8.2 8.2 8.2 | 8.2 8.2 8.2 8.2 8.4 8.5 8.6 8.7 8.8 8.8 Use a box-and-whisker plot to describe how the data are spread about the median. The center half of the wells are found to have a pH between a lower value of and a higher value of The total spread of pH values goes from a lower value of to a higher value of Are the pH values above the median more spread out than those below? O The pH values above the median are more spread out than those below. O The pH values above and below the median have the same amount of spread. O The pH values below the median are more spread out than those above. Is this observation consistent with the skew of the histogram? O Yes, this is consistent with the symmetric distribution of the histogram. O Yes, this is consistent with the left skewed distribution of the histogram. O No, this is not consistent with the right skewed distribution of the histogram. O No, this is not consistent with the symmetric distribution of the histogram. O Yes, this is consistent with the right skewed distribution of the histogram. O No, this is not consistent with the left skewed distribution of the histogram.
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