whats the interquartile range of 10 12 14 16 18 20 22 24 26 28 30
To find the interquartile range (IQR), we first need to find the median (or second quartile) of the data set.
The median is the middle number when the data are arranged in order from smallest to largest. Since there are 11 numbers in this data set, the median is the sixth number.
Median = 20
Next, we need to find the lower and upper quartiles.
The lower quartile (Q1) is the median of the lower half of the data set (the first five numbers).
Q1 = median of 10 12 14 16 18
Q1 = 14
The upper quartile (Q3) is the median of the upper half of the data set (the last five numbers).
Q3 = median of 22 24 26 28 30
Q3 = 26
Finally, we can calculate the IQR by subtracting Q1 from Q3:
IQR = Q3 - Q1
IQR = 26 - 14
IQR = 12
Therefore, the interquartile range of the data set 10 12 14 16 18 20 22 24 26 28 30 is 12.