9. Measures of Center, Spread, and Position
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Mean: ≈34.4 text messages
Median: 35 text messages
Mode: 35 text messages
The first thing that should be done when finding the key features of a data set is rearranging the numbers from least to greatest.
4, 18, 23, 26, 27, 33, 35, 35, 39, 41, 44, 47, 53, 57
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 14 values.
Substitute values
Add terms
Calculate quotient
Round to 1 decimal place(s)
To identify the median, we observe the middle value. 4, 18, 23, 26, 27, 33, 35 | 35, 39, 41, 44, 47, 53, 57 In this case there is no middle value. When this happens, we need to calculate the median by finding the average of the two central values. Once arranged from least to greatest, we find that 35 and 35 are the two central values. Median=35+ 35/2=35
The mode of a data set is the value that occurs most frequently. 4, 18, 23, 26, 27, 33, 35, 35, 39, 41, 44, 47, 53, 57 We can see that 35 occurs more frequently than any other value in the set, so this is the mode.