Concept explainers
(a)
To Find:City has greater range of temperature
(a)
Answer to Problem 9PPS
Antelope has higher range than Augusta
Explanation of Solution
Given:The table shows the average monthly temperatures.
Which city has greater range of temperature?
Finding range
For Antelope MT
Highest vale =
Lowest value =
Range = Highest value − lowest value
For Augusta
Highest vale =
Lowest value =
Range = Highest value − lowest value
Hence, Antelope has higher range than Augusta
(b)
To Find:Measure of variation for each city
(b)
Answer to Problem 9PPS
For Antelope
Median =
Lower quartile
Upper quartile
Interquartile range
For Augusta
Median =
Lower quartile
Upper quartile
Interquartile range
Explanation of Solution
Given:The table shows the average monthly temperatures.
Find the measure of variation for each city.
For Antelope After arranging the data in ascending order
Median =
Lower quartile
Upper quartile
Interquartile range = Upper quartile − lower quartile
For Augusta After arranging the data in ascending order
Median =
Lower quartile
Upper quartile
Interquartile range = Upper quartile − lower quartile
(c)
To Compare:Medians and the interquartile ranges of average temperatures
(c)
Answer to Problem 9PPS
Median and interquartile range both of Antelope is greater than Augusta
Explanation of Solution
Given:The table shows the average monthly temperatures.
Compare the medians and the interquartile ranges of average temperatures.
For Antelope
Median =
Interquartile range
For Augusta
Median =
Interquartile range
It is concluded that Median and interquartile range both of Antelope is greater than Augusta
(d)
To Find:The appropriate measure of central tendency to describe the average high temperature for Augusta.
(d)
Answer to Problem 9PPS
Mean
Explanation of Solution
Given: The table shows the average monthly temperatures.
Select the appropriate measure of central tendency to describe the average high temperature for Augusta. Justify your response.
Mean is theappropriate measure of central tendency to describe the average high temperature for Augusta.
Because the range of values are large.
(e)
To Describe:Average temperatures of Antelope and Augusta.
(e)
Answer to Problem 9PPS
The average temperature of Antelope MT is higher than Augusta ME
Explanation of Solution
Given:The table shows the average monthly temperatures.
Describe the average temperatures of Antelope and Augusta using both the measures of central tendency and variation.
Measures of Central tendency
For Antelope
Mean
Median=
Mode =
For Augusta
Mean
Median=
No Mode
It is concluded that the average temperature of Antelope MT is higher than Augusta ME.
Measures of variation
For Antelope
Median =
Range=
Interquartile range
For Augusta
Median =
Range
Interquartile range
In the measures of variation the average temperature in Antelope is higher than Augusta.
Chapter 13 Solutions
Pre-Algebra, Student Edition
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