Concept explainers
a.
To find a set of numbers whose mean, median and mode are equal.
a.
Answer to Problem 30HP
The set of a numbers whose mean, median and mode are equal is
Explanation of Solution
Given information :
The numbers whose mean, median and mode are equal.
Formula used :
Mean of a set of number,
The Median is:
The mode is the number in the list that occurs most often.
Calculation :
Assume the set of the number is,
Mean of the number is obtained as:
Median is obtained as:
Mode is 5 since it occurs more often.
Hence,
The set of a numbers whose mean, median and mode are equal is
b.
To find a set of numbers whose mean is greater than the median.
b.
Answer to Problem 30HP
The set of a numbers whose mean is greater than the median is
Explanation of Solution
Given information :
The numbers whose mean is greater than the median.
Formula used :
Mean of a set of number,
The Median is:
Calculation :
Assume the set of the number is,
Mean of the number is obtained as:
Median is obtained as:
So, mean is greater than median.
Hence,
The set of a numbers whose mean is greater than the median is
c.
To find a set of numbers whose mode is 10 and the median is greater than the mean
c.
Answer to Problem 30HP
The set of a numbers whose mode is 10 and the median is greater than the mean is
Explanation of Solution
Given information :
The numbers whose mode is 10 and the median is greater than the mean.
Formula used :
Mean of a set of number,
The Median is:
The mode is the number in the list that occurs most often.
Calculation :
Assume the set of the number is,
Mean of the number is obtained as:
Median is obtained as:
So, median is greater than mean.
Mode is 10 since it occurs more often.
Hence,
The set of a numbers whose mode is 10 and the median is greater than the mean is
d.
To find a set of numbers whose mean is 6, median is 5.5 and mode is 9
d.
Answer to Problem 30HP
The set of a numbers whose mean is 6, median is 5.5 and mode is 9 is
Explanation of Solution
Given information :
The numbers whose mean is 6, median is 5.5 and mode is 9
Formula used :
Mean of a set of number,
The Median is:
The mode is the number in the list that occurs most often.
Calculation :
Assume the set of the number is,
Mean of the number is obtained as:
Median is obtained as:
So, median is greater than mean.
Mode is 9 since it occurs more often.
Hence,
The set of a numbers whose mean is 6, median is 5.5 and mode is 9 is
Chapter 12 Solutions
Algebra 1
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