9. Measures of Center, Spread, and Position
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Mean: 13 cm
Median: 13.5 cm
Modes: 11 and 14
The first thing that should be done when finding the key features of a data set is rearranging the numbers from least to greatest.
10.5, 11, 11, 11.5, 12, 13.5, 14, 14, 14.5, 15, 16
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 11 values.
Substitute values
Add terms
Calculate quotient
To identify the median, we observe the middle value. 10.5, 11, 11, 11.5, 12, 13.5, 14, 14, 14.5, 15, 16 We can see that the middle value in this set is 13.5, so this is our median.
The mode of a data set is the value that occurs most frequently. 10.5, 11, 11, 11.5, 12, 13.5, 14, 14, 14.5, 15, 16 We can see that 11 and 14 occur more frequently than the other values, so there are two modes in this set.