a. The median is 70, the mode is 60, and the mean is 70.8.
b. Mean best captures the data.
c. When there are outliers, the mean might be a deceptive center measure.
Calculating the Mean, Median, and Mode
Mean: Total number of sunglasses / total quantity of pries
Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25
Mean = 70.8
Median is equal to the (n/2 + 1)th term.
The number of sunglasses in this case is n.
(25/2 + 1)th term as the median
Median = 13th term
Median is 70
Mode is the most frequent data
Therefore, mode = 70
Why is mean the most appropriate central measure ?
The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.
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