Toidentify:The outlier in the data set, mean, median and mode of the data set when the outlier is included and when it is not.
The outlier is 103. The mean is 684.92, mode is None and median is 661. If outlier is removed then the mean is 733.416, mode is None and median is 694.5.
Given information:
The given data set is 947, 757, 103, 619, 661, 582, 626, 900, 869, 728, 1001, 596, 515.
Explanation:
Consider the given information.
The outlier of the given data set is 103 as the difference between adjacent values substantially different from 103.
Mean:
Arrange the data in increasing order. 103, 515, 582, 596, 619, 626, 661, 728, 757, 869, 900, 947, 1001
Since the total number of data set is 13 which is odd number so median is the exactly middle value. Which is 661.
Mode is the highest frequency value of the given data set. It can be observed that no value is repeated. So, mode is none.
Now remove the outlier:
After removing the outlier, the total number of data set is 12 which is even number so median is the average of 6th and 7th term.
Mode is the highest frequency value of the given data set. It can be observed that no value is repeated. So, mode is none.
Chapter 11 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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