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Mean = 63
Median = 52
Mode: does not exsist
Best Measure: median
The first thing that should be done when finding the key features of a data set is rearranging the numbers from least to greatest.
38, 43, 48, 52, 65, 75, 120
Let's proceed to finding the mean, median, and mode.
The mean of a data set is calculated by finding the sum of all values in the set and then dividing by the number of values in the set. In this case, there are 7 values in the set.
Substitute values
Add terms
Calculate quotient
To identify the median, we observe the middle value. 38, 43, 48, 52, 65, 75, 120 We can see that the middle value in this set is 52, so this is our median.
The mode of a data set is the value that occurs most frequently. 38, 43, 48, 52, 65, 75, 120 In this set, each number in this set occurs only once. Therefore, there is no mode.
For the given scenario, the best measure is the median because the mean is greater than the most of the data points. Outliers affect the mean but not the median.