Data Analysis & Probability. M7D1.c – Analyze data using measures of central tendency (mean, median, and mode), including recognition of outliers. Words to Know. Mean – average found by using division (items of a set added together and the sum is then divided by the total number of items)
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M7D1.c – Analyze data using measures of central tendency (mean, median, and mode), including recognition of outliers.
The students in Eagle River, Alaska missed 13 consecutive days of school due to heavy snow. The snowfall for each day is listed below in inches. What are the mode, median and mean of the snowfall in inches during the days the students missed?
5”, 2”, 3”, 10”, 3”, 1”, 7”, 3”, 2”, 0”, 3”, 1”, 0”
0”, 0”, 1”, 2”, 2”, 3”, 3”, 3”, 3”, 5”, 7”, 10”, 13”
Now that it is in order least to greatest, it is much easier to see the mode and median and it will be easier to add up the total in order to find the mean.
Mode: Median: Mean:
This table shows the number of students who received a certain score on an assignment. Find the mean, median and mode for this frequency distribution.
There are 5 deckhands on the fishing vessel. For their most recent trip, Jake made $38,000, John made $41,000, Jesse made $38,000, Jimmy made $71,000 and Jordan made $42,000. Identify the outlier in the data set. How will it affect the mean, median or mode?
Outlier: Jimmy with $71,000. The other four salaries are similar but Jimmy’s is nearly twice as much as them.
Mode and median are not affected by the outlier because it is not an average of all five salaries combined.
The mean will be greatly affected because we have to add in the much higher salary to get an average. The average will be much higher than the other four men’s salaries.
Mean with the outlier: $46, 000 Mean without the outlier: $39, 750