
Concept explainers
To calculate mean and median and state the effect of removing outlier

Answer to Problem 8PPS
Mean is96.18 and Median is 95. Mean would be more affected by removal of outliers.
Explanation of Solution
Given information:
Daily attendance | |||||
86 | 45 | 91 | 104 | 95 | 88 |
127 | 85 | 79 | 102 | 98 | 103 |
Formula used: Mean is,
Mean=
Where, n=total number of terms,
Median is,
When n is odd,
When n is even,
Calculation:
Re-arranging the data in an ascending order.
45,79,85,86,88,91,95,98,102,103,104,127
For mean substituting the values,
So,
On solving,
Hence, Mean is 91.92
For median substituting the value,
On solving,
Substituting the value of 6th and 7th observation,
On solving,
Hence, median is 96.5
The outlier is 45.
After removing outlier, new data points are
79,85,86,88,91,95,98,102,103,104,127
For new mean, Substituting values in the mean formula,
=
So,
On solving,
Hence, new mean is 96.18
For new median, substituting values,
=
So,
=
On solving,
=
On substituting the value of 6th observation,
Comparing the new and old mean.
By removing the outliers, the new mean is increased. But, the median is decreased when the outlier is removed.
Chapter 10 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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