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Example Questions
Example Question #1 : Range
Suppose the ages of a college chemistry class were recorded and the ages reported were as follows:
What is the range of this data?
The range is calculated by subtracting the smallest value from the largest value: .
Example Question #2 : Range
Observe the following table:
Client | Age |
Marsha | 14 |
Tom | 13 |
Alice | 65 |
Brandy | 34 |
Candy | 23 |
James | 43 |
Brady | 19 |
Find the range for the ages of the clients in the table?
Let us start by identifying the maximum and minimum values of the list of values.
The maximum is 65 and the minimum is 13.
The range is computed by substracting the minimum from the maximum, which gives us:
Example Question #3 : Range
Observe the following list of terms:
The range of this list of numbers is . Which value can take?
The range of this list of numbers is 10 which is obtained by doing 20-10.
This means that 20 and 10 are respectively the maximum and minimum values of the list of numbers.
Therefore x has to be a value between 10 and 20.
17 being the only value within this range it is therefore the right answer.
Example Question #4 : Range
For a set of numbers where
and the set has the following values:
Determine the value of .
{6,6,6,7,7,7,7,13,13}
median=7 so b=7
mean=8 so the sum of the set is 72.
72-4(7)=44
44=3a+2c
Range=7 so c-a=7
44=3a+2(a+7)
a=6 and c=13.
Example Question #3 : How To Find Range
Given the set of test scores, what is the range?
The range is the difference between the smallest number and the largest number. The smallest value is 77, and the largest is 98.
98 – 77 = 21
Example Question #4 : How To Find Range
The range of the following data set is 18. What is a possible value for ?
Cannot be determined
Arrange the known values in the set in numerical order: {–5, –2, 1, 3, 5, 7, 7, 10}. The range is the difference between the largest value and smallest value.
x must be either the largest or the smallest value in the set.
range = x – smallest value
18 = x – (–5)
18 = x + 5
13 = x
OR
range = largest value – x
18 = 10 – x
8 = –x
–8 = x
Example Question #5 : Range
The above chart shows a specific week of work at an advertising firm. What is the range of the hourly rates of the workers?
The range is difference between the largest value and the smallest value.
Example Question #6 : Range
What is the range of the set ?
The range is defined as the difference between the highest and lowest numbers in a set. Here, the highest number is and the lowest is .
Therefore, the range is
is the mode, is the mean, and 6 is the median.
Example Question #5 : Data Properties
Find the range of the set:
To find the range of a set subtract the smallest number in the set from the largest number in the set:
The largest number is in green:
The smallest number is in blue:
Therefore the range is as follows.
Example Question #7 : Range
Find the range of the set:
To find the range of a set subtract the smallest number in the set from the largest number in the set:
The largest number is in green:
The smallest number is in blue:
Therefore the range is,
.
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