Concept explainers
To calculate how many minutes tenth student to go school.
Answer to Problem 10.4STP
When median is given 12 Then tenth student take 13 minutes
When mean is given 13 Then tenth student take 14 minutes
When range is given 18 This shows that 15 and 20 minutes cannot be the value of tenth student
Explanation of Solution
Given information:
The response from nine students
5, 6, 8, 11, 11, 15, 17, 20, 23
Median=12
Mean=13
Range=18
Calculation:
Let tenth student take x minutes
When median is given 12
Ordered data: 5, 6, 8, 11, 11, 15, 17, 20, 23
If tenth student position is first and last and calculating median then the median does not found to be 13.
when putting right of the ordered data set
Then,
n=10
n is frequency of data
n is even
Middle numbers are 11 and x
Then,
Substituting value of median
On solving,
x=13 minutes
Tenth student take 13 minutes
When mean is given 13
Substituting value of mean
On solving,
On solving,
x=14
Tenth student take 14 minutes
When range is given 18
Ordered data: 5, 6, 8, 11, 11, 15, 17, 20, 23
If tenth student is maximum
Then,
Range= x-5
Substituting value of range
18= x-5
On solving,
x=23
This shows that 15 and 20 minutes cannot be the value of x
Chapter ISG Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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