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What is the mean (arithmetic average)? Give an example
The mean is the sum of all values divided by the number of values. Example: (2 + 4 + 6) ÷ 3 = 4
What is the median? Give an example.
The median is the middle value in an ordered dataset. Example: 1, 3, 5 → median = 3
What is the mode? Give an example.
The mode is the most frequent value. Example: 2, 2, 3, 4 → mode = 2
Find the mean of: 5, 7, 9.
(5 + 7 + 9) ÷ 3 = 7
Find the median of: 2, 4, 6, 8, 10.
Median = 6
Find the mode of: 1, 2, 2, 3, 3, 3, 4.
Mode = 3
How do you find the median if there is an even number of values? Give an example.
Take the average of the two middle numbers. Example: 2, 4, 6, 8 → (4 + 6) ÷ 2 = 5
Which measure (mean, median, mode) is best for categorical data? Why?
Mode, because it shows the most common category.
Find mean, median, and mode of: 3, 5, 5, 7, 9.
Mean = 5.8, Median = 5, Mode = 5
Can a dataset have no mode? Give an example.
Yes. Example: 1, 2, 3, 4 (no repeats)
What is an outlier (extreme value)? Give an example.
A value far from others. Example: 2, 3, 4, 5, 50 → 50 is an outlier
. How does an outlier affect the mean? Use an example.
It pulls the mean toward it. Example: Without outlier: 2, 3, 4 → mean = 3 With outlier: 2, 3, 4, 100 → mean = 27.25
How does an outlier affect the median? Use an example.
It has little effect. Example: 2, 3, 4 → median = 3 Add 100 → median = (3 + 4)/2 = 3.5
Which is better with outliers: mean or median? Why?
Median, because it is more stable.