Concept explainers
(a)
To find: the
(a)
Answer to Problem 81E
Median is 85.
Explanation of Solution
Calculation:
For an even number of data values, there is no center of observation.
There is a center pair i.e. 84 and 86 in the data which have 6 observations before them and 6 observations after them in the order list. The median is the average of these two observations.
Median
Or Median can be calculated as follows:
Median
Interpretation: 50% of Joey's quiz grades are below 85 and 50% of Joey's quiz grades are above 85.
Conclusion:
“Therefore, the median is 85.”
(b)
To recalculate: the
(b)
Answer to Problem 81E
Mean is 79.33 and the median is 84.
Explanation of Solution
Calculation:
Mean:
The values now include 0:
Median:
Order all given data values:
Since the number of data values is odd, the median is the middle value of the sorted data set is 84
It is noted that the mean decreased from 85 to 79.33, while the median decreases from 85 to 84. The mean was a lot more affected (decreased) by the outlier”0” than the median, which illustrates that the median is resistant while the mean is not resistant.
Conclusion:
“Therefore, the mean is 79.33 and the median is 84.
The median is resistant, while the mean is not resistant.”
Chapter 1 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics
Introductory Statistics
STATS:DATA+MODELS-W/DVD
Introductory Statistics (10th Edition)
Essentials of Statistics (6th Edition)
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