
Concept explainers
(a)
The value of mean, median and mode of the data set.
(a)

Answer to Problem 10E
Mean=−$0.4016Median = $0.86Mode = None
Explanation of Solution
Given:
The given data set is:
Calculation:
The value of mean will be:
Mean = 1.05+2.03−13.78−2.41+2.64+0.67+4.02+1.39+0.66−0.28−3.01+2.2012Mean=−4.8212Mean=−$0.4016
The value of median will be:
Order the given data set and get the middle value.
The ordered set will be:
−13.78,−3.01,−2.41,−0.28,0.66,0.67,1.05,1.39,2.03,2.20,2.64,4.02
Hence,
Median = 0.67+1.052Median = 1.722Median = $0.86
The value of mode will be:
Get the most occurring value. Hence,
Mode = None
(b)
The measure of center describing the data set in the most efficient way.
(b)

Answer to Problem 10E
Median
Explanation of Solution
Given:
The given data set is:
Calculation:
The data is skewed and asymmetrical; median will be preferred in representing the data. The mean is greater than most of the data and mode is less than most of the data. Hence, median will represent this data.
(c)
The effect of additional value on mean, median and mode.
(c)

Answer to Problem 10E
Mean=−$0.0415Median = $1.05Median = None
Explanation of Solution
Given:
The given data set is:
Calculation:
The value of mean will be:
Mean = 1.05+2.03−13.78−2.41+2.64+0.67+4.02+1.39+0.66−0.28−3.01+2.20+4.2813Mean=−0.5413Mean=−$0.0415
The value of median will be:
Order the given data set and get the middle value.
The ordered set will be:
−13.78,−3.01,−2.41,−0.28,0.66,0.67,1.05,1.39,2.03,2.20,2.64,4.02,4.28
Hence,
Median = $1.05
The value of mode will be:
Get the most occurring value. Hence,
Mode = None
Chapter 7 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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