The first thing that should be done when finding the key features of a is rearranging the numbers from least to greatest.
3, 4, 5, 5, 6, 7, 7, 7, 7,
8, 8, 8, 9, 10, 12, 13, 15
Let's proceed to finding the , , , and .
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 17 values in the set.
Mean=Sum of values/Number of values
Mean=3+4+5+5+6+7+7+7+7+8+8+8+9+10+12+13+15/17
Mean=134/17
Mean=7.882352 ...
Mean≈ 7.9
Median
To identify the median, we observe the middle value.
3, 4, 5, 5, 6, 7, 7, 7, 7,
8, 8, 8, 9, 10, 12, 13, 15
We can see that the middle value in this set is 7, so this is our median.
Mode
The mode of a data set is the value that occurs most frequently.
3, 4, 5, 5, 6, 7, 7, 7, 7,
8, 8, 8, 9, 10, 12, 13, 15
We can see that 7 occurs more frequently than any other value in the set, so this is the mode.
Range
To find the range of the set, we need to find the difference of the greatest value and the least value.
3, 4, 5, 5, 6, 7, 7, 7, 7,
8, 8, 8, 9, 10, 12, 13, 15
We can see that the greatest value in the set is 15, and the least is 3.
Range: 15 - 3= 12
Therefore, the range is 12.
Which Measure Is Best?
For the given scenario, the best measure is the mean because there are no in the data.
